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D. Toussaint and R. L. Sugar,Phys. Rev. D 32:2061 (1985).\nS. Coleman and E. Weinberg,Phys. Rev. D 7:1888 ((1973).\nD. J. E. Callaway and L. J. Carson,Phys. Rev. D 25:531 (1982); K. C. Bowler, G. S. Pawley, B. J. Pendelton, D. J. Wallace, and G.W. Thomas,Phys. Lett. B 104:481 (1981).\nY. Munehisa,Phys. Rev. D 30:1310 (1984); Y. Munehisa,Phys. Rev. D 31:1522 (1985).\nG. Koutsoumbas,Phys. Lett. B 140:379 (1984).\nD. J. Scalapino, R. L. Sugar, and W. D. Toussaint (to be published).\nJ. E. Hirsch, D. J. Scalapino, R. L. Sugar, and R. Blankenbecler,Phys. Rev. B 26:5033 (1982).\nJ. C. Bonner and M. E. Fisher,Phys. Rev. A 135:610 (1964).\nS. A. Gottlieb, A. D. Kennedy, J. Kuti, S. Meyer, B. J. Pendelton, R. L. Sugar, and W. D. Toussaint,Phys. Rev. Lett., (to be published).\nN. Cabibbo and E. Marinari,Phys. Lett. B 110:387 (1982).\nA. D. Kennedy, J. Kuti, S. Meyer, and B. J. Pendelton,Phys. Rev. Lett. 54:87 (1985).",{"EN":119},"Monte Carlo simulations with the 100 Mflop ST-100 array processor are described. The architecture of the array processor and its applicability to large-scale numerical simulations is discussed. Results are presented for the Abelian Higgs model, a charge density wave transition in a quasi-one-dimensional system and the finite temperature phase transition inSU(3) lattice gauge theory.",{"EN":121},"Monte Carlo studies with the ST-100 array processor",{"VOID":123},"10.1007\u002FBF02628338","PUBLICATION","VERIFIED","Auto Verify","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002FBF02628338",[129],{"id":130,"sortIndex":19,"researcher":18,"roles":131,"affiliations":133,"properties":142},"fe928179-69f6-42ed-89f4-5a5c29f5f228",[132],"AUTHOR",[134],{"id":18,"sortIndex":19,"affiliation":135,"properties":18},{"id":136,"createTime":137,"updateTime":137,"relativeEntities":138,"slug":18,"properties":139,"entityType":44,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19},"6c22fd5e-ddbb-4cf3-8f4b-d53c3a60e9cb","2024-01-11T04:18:35.982+00:00",[],{"title":140},{"VI":141},"Department of Physics, University of California, Santa Barbara",{"title":143},{"VI":144},"R. L. Sugar","ARTICLE",{"url":127,"publisher":147,"properties":174},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":148,"slug":10,"properties":149,"entityType":16,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19,"subjectFields":152,"manageAffiliations":153,"indexDatabases":154,"url":18,"thumbnailPath":18,"statistic":169,"gsStatistic":18,"type":104,"analyzePriority":18},[],{"issn":150,"title":151},{"VOID":13},{"VOID":15},[],[],[155,162],{"id":60,"indexDatabase":156,"url":18,"indexYears":18,"academicFieldIds":161,"indexDatabaseRanking":18},{"id":62,"createTime":63,"updateTime":64,"relativeEntities":157,"label":158,"description":159,"key":71,"publicationTags":160,"standard":18},[],{"EN":67,"VI":67},{"VI":69,"EN":70},[73,74],[76],{"id":78,"indexDatabase":163,"url":91,"indexYears":92,"academicFieldIds":168,"indexDatabaseRanking":18},{"id":80,"createTime":81,"updateTime":82,"relativeEntities":164,"label":165,"description":166,"key":88,"publicationTags":167,"standard":18},[],{"EN":85,"VI":85},{"EN":85,"VI":87},[90],[94,95],{"impactFactor":19,"impactFactorByYear":170,"i10Index":19,"i10IndexLast5Year":19,"totalPublication":98,"totalPublicationByYear":171,"totalCitation":19,"totalCitationByYear":172,"totalCitationPerPublication":19,"totalCitationPerPublicationByYear":173,"hindexLast5Year":19,"hindex":19},{},{"1992":100,"2000":100,"2023":100,"2024":101},{},{},{"volume":175,"pages":177},{"VOID":176},"43",{"VOID":178},"1147-1170","1986-06-01",1986,false,{"id":183,"createTime":184,"updateTime":185,"relativeEntities":186,"slug":187,"properties":188,"entityType":124,"verifyStatus":125,"verifyTime":185,"verifyNote":126,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19,"primaryUrl":197,"fullTextUrl":18,"authors":198,"publicationType":145,"publisherRelationship":214,"citationCount":18,"citationInfo":18,"publishDate":247,"publishYear":248,"citationAnalyzeStatus":17,"lastCitationAnalyze":18,"indexDatabases":18,"openAccess":18,"references":18,"isForceReanalyzing":181},"ceb21913-35e2-4e12-86fb-241352dd9ab4","2024-01-26T07:57:26.158+00:00","2024-12-11T23:59:41.613+00:00",[],"An-upper-bound-on-the-critical-temperature-for-a-continuous-system-with-short-range-interaction",{"references":189,"abstract":191,"title":193,"doi":195},{"VOID":190},"D. Brydges, A short course on cluster expansions, inCritical Phenomena, Random Systems, Gauge Theories, K. Osterwalder and R. Stora, eds. (North-Holland, 1986), pp. 129–182.\nD. Brydges and P. Federbush, Debye screening,Commun. Math. Phys. 73:197–246 (1980).\nD. Brydges and P. Federbush, Debye screening in classical Coulomb systems, inRigorous Atomic and Molecular Physics, G. Velo and A. Wightman, eds. (Plenum Press, New York, 1981), pp. 371–440.\nJ. Conlon, The ground state energy of a classical gas,Commun. Math. Phys. 94:439–458 (1984).\nJ. Conlon, E. Lieb, and H.-T. Yau, TheN 7\u002F5 law for charged bosons,Commun. Math. Phys. 116:417–448 (1988).\nP. Federbush, A new approach to the stability of matter problem II,J. Math. Phys. 16:706–709 (1975).\nP. Federbush and T. Kennedy, Surface effects in Debye screening,Commun. Math. Phys. 102:361–423 (1985).\nJ. Fröhlich and T. Spencer, Phase diagrams and critical properties of classical Coulomb systems, inRigorous Atomic and Molecular Physics, G. Velo and A. Wightman, eds. (Plenum Press, New York, 1981), pp. 327–370.\nK. Gawedszki and A. Kupiainen, Rigorous renormalization group and asymptotic freedom, inScaling and Self-Similarity in Physics, J. Frohlich, ed. (Birkhäuser, 1983), pp. 227–262.\nJ. Imbrie, Debye screening for jellium and other Coulomb systems,Commun. Math. Phys. 87:515–565 (1983).\nD. Ruelle,Statistical Mechanics—Rigorous Results (Benjamin, 1969).\nW.-S. Yang, Debye screening for 2 dimensional Coulomb systems at high temperatures,J. Stat. Phys. 49:1–32 (1987).",{"EN":192},"A classical gas with short-range interaction in the grand canonical ensemble is studied. Ifp(β, z) denotes the thermodynamic pressure at inverse temperatureβ and activityz, then it follows from the Mayer expansion thatp(β, z) is infinitely differentiable providedβ andβz are sufficiently small. Here it is shown that there existsβ\n0>0 such thatp(β, z) is infinitely differentiable ifβ\u003Cβ\n0 andz>0. One can interpret this result as saying that (β\n0)−1 is an upper bound on the critical temperature for the system.",{"EN":194},"An upper bound on the critical temperature for a continuous system with short-range interaction",{"VOID":196},"10.1007\u002FBF01020294","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002FBF01020294",[199],{"id":200,"sortIndex":19,"researcher":18,"roles":201,"affiliations":202,"properties":211},"546d72f9-75a0-4c4a-b9c0-a03e58ad6911",[132],[203],{"id":18,"sortIndex":19,"affiliation":204,"properties":18},{"id":205,"createTime":206,"updateTime":206,"relativeEntities":207,"slug":18,"properties":208,"entityType":44,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19},"5b12de74-8fac-4263-9fa2-d2c21915d5cb","2023-12-11T03:23:35.514+00:00",[],{"title":209},{"VI":210},"Department of Mathematics, University of Missouri, Columbia",{"title":212},{"VI":213},"Joseph G. Conlon",{"url":197,"publisher":215,"properties":242},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":216,"slug":10,"properties":217,"entityType":16,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19,"subjectFields":220,"manageAffiliations":221,"indexDatabases":222,"url":18,"thumbnailPath":18,"statistic":237,"gsStatistic":18,"type":104,"analyzePriority":18},[],{"issn":218,"title":219},{"VOID":13},{"VOID":15},[],[],[223,230],{"id":60,"indexDatabase":224,"url":18,"indexYears":18,"academicFieldIds":229,"indexDatabaseRanking":18},{"id":62,"createTime":63,"updateTime":64,"relativeEntities":225,"label":226,"description":227,"key":71,"publicationTags":228,"standard":18},[],{"EN":67,"VI":67},{"VI":69,"EN":70},[73,74],[76],{"id":78,"indexDatabase":231,"url":91,"indexYears":92,"academicFieldIds":236,"indexDatabaseRanking":18},{"id":80,"createTime":81,"updateTime":82,"relativeEntities":232,"label":233,"description":234,"key":88,"publicationTags":235,"standard":18},[],{"EN":85,"VI":85},{"EN":85,"VI":87},[90],[94,95],{"impactFactor":19,"impactFactorByYear":238,"i10Index":19,"i10IndexLast5Year":19,"totalPublication":98,"totalPublicationByYear":239,"totalCitation":19,"totalCitationByYear":240,"totalCitationPerPublication":19,"totalCitationPerPublicationByYear":241,"hindexLast5Year":19,"hindex":19},{},{"1992":100,"2000":100,"2023":100,"2024":101},{},{},{"volume":243,"pages":245},{"VOID":244},"58",{"VOID":246},"265-293","1990-01-01",1990,{"id":250,"createTime":251,"updateTime":252,"relativeEntities":253,"slug":254,"properties":255,"entityType":124,"verifyStatus":125,"verifyTime":252,"verifyNote":126,"syncStatus":17,"languages":264,"translateLanguages":18,"viewCount":19,"primaryUrl":266,"fullTextUrl":18,"authors":267,"publicationType":145,"publisherRelationship":299,"citationCount":18,"citationInfo":18,"publishDate":327,"publishYear":328,"citationAnalyzeStatus":17,"lastCitationAnalyze":18,"indexDatabases":18,"openAccess":18,"references":329,"isForceReanalyzing":181},"14fc0ced-1b33-4061-9af7-927060327ac6","2024-04-11T05:32:21.287+00:00","2025-01-13T23:59:40.204+00:00",[],"A-systematic-derivation-of-exact-generalized-Brownian-motion-theory",{"keywords":256,"abstract":258,"title":260,"doi":262},{"EN":257},"",{"EN":259},"We present here a simple unified derivation of the exact Fokker-Planck equation obtained earlier by Zwanzig and the exact Langevin and transport equations derived by Mori. The derivation, based on the use of a Hilbert space formulation of the dynamics, leads to substantial generalizations of these results in a straightforward manner. We obtain nonlinear Langevin equations for classical systems and discuss the extension of the theory to driven transport and to quantum dynamics based either on the use of density matrices or Γ-space densities as suggested by Wigner. Remaining limitations of the theory are pointed out.",{"EN":261},"A systematic derivation of exact generalized Brownian motion theory",{"VOID":263},"10.1007\u002FBF01012013",[265],"EN","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002FBF01012013",[268,283],{"id":269,"sortIndex":19,"researcher":18,"roles":270,"affiliations":271,"properties":280},"2726b127-8009-48e2-bbbc-7776cf7f6734",[],[272],{"id":18,"sortIndex":19,"affiliation":273,"properties":18},{"id":274,"createTime":275,"updateTime":275,"relativeEntities":276,"slug":18,"properties":277,"entityType":44,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19},"8f591c22-f655-4e0f-8153-f32d293d2fc0","2024-02-12T12:21:05.208+00:00",[],{"title":278},{"VI":279},"The James Franck Institute, The University of Chicago, Chicago",{"title":281},{"EN":282},"Sture Nordholm",{"id":284,"sortIndex":100,"researcher":18,"roles":285,"affiliations":286,"properties":296},"ad01946f-9099-45d9-bc54-b026570e25a1",[],[287],{"id":18,"sortIndex":19,"affiliation":288,"properties":18},{"id":289,"createTime":290,"updateTime":290,"relativeEntities":291,"slug":292,"properties":293,"entityType":44,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19},"55677bc7-d307-43f7-9e09-e1ac7d92eaab","2024-04-11T05:32:21.300+00:00",[],"Institute-of-Fluid-Dynamics-and-Applied-Mathematics-The-University-of-Maryland-College-Park",{"title":294},{"EN":295},"Institute of Fluid Dynamics and Applied Mathematics, The University of Maryland, College Park",{"title":297},{"EN":298},"Robert Zwanzig",{"url":18,"publisher":300,"properties":18},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":301,"slug":10,"properties":302,"entityType":16,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19,"subjectFields":305,"manageAffiliations":306,"indexDatabases":307,"url":18,"thumbnailPath":18,"statistic":322,"gsStatistic":18,"type":104,"analyzePriority":18},[],{"issn":303,"title":304},{"VOID":13},{"VOID":15},[],[],[308,315],{"id":60,"indexDatabase":309,"url":18,"indexYears":18,"academicFieldIds":314,"indexDatabaseRanking":18},{"id":62,"createTime":63,"updateTime":64,"relativeEntities":310,"label":311,"description":312,"key":71,"publicationTags":313,"standard":18},[],{"EN":67,"VI":67},{"VI":69,"EN":70},[73,74],[76],{"id":78,"indexDatabase":316,"url":91,"indexYears":92,"academicFieldIds":321,"indexDatabaseRanking":18},{"id":80,"createTime":81,"updateTime":82,"relativeEntities":317,"label":318,"description":319,"key":88,"publicationTags":320,"standard":18},[],{"EN":85,"VI":85},{"EN":85,"VI":87},[90],[94,95],{"impactFactor":19,"impactFactorByYear":323,"i10Index":19,"i10IndexLast5Year":19,"totalPublication":98,"totalPublicationByYear":324,"totalCitation":19,"totalCitationByYear":325,"totalCitationPerPublication":19,"totalCitationPerPublicationByYear":326,"hindexLast5Year":19,"hindex":19},{},{"1992":100,"2000":100,"2023":100,"2024":101},{},{},"1975-10-01",1975,[330,332,334,336,338,340,342,344,346,348,350,352,354,356,358,360,362,364,366,368,370,372,374,376,378,380,382,384,386,388,390,392],{"id":18,"text":331,"url":18,"identifiers":18},"S. Chandrasekhar,Rev. Mod. Phys. 15:1 (1943).",{"id":18,"text":333,"url":18,"identifiers":18},"M. C. Wang and G. E. Uhlenbeck,Rev. Mod. Phys. 17:323 (1945).",{"id":18,"text":335,"url":18,"identifiers":18},"M. S. Green,J. Chem. Phys. 20:1281 (1952);22:398 (1954).",{"id":18,"text":337,"url":18,"identifiers":18},"M. Lax,Rev. Mod.Phys. 32:25 (1960);38:359 (1966);38:541 (1966).",{"id":18,"text":339,"url":18,"identifiers":18},"R. Zwanzig,J. Chem. Phys. 33:1338 (1960);Lectures in Theoretical Physics, ed. by W. E. Brittin, B. W. Downs, and J. Downs (Interscience, New York, 1961), Vol. III, pp. 106–141.",{"id":18,"text":341,"url":18,"identifiers":18},"R. Zwanzig,Phys. Rev. 124:983 (1961).",{"id":18,"text":343,"url":18,"identifiers":18},"H. Mori,Progr. Theor. Phys. 33:423 (1965);34:399 (1965).",{"id":18,"text":345,"url":18,"identifiers":18},"K. Kawasaki,Phys. Rev. 150:291 (1966);Ann. Phys. 61:1 (1970).",{"id":18,"text":347,"url":18,"identifiers":18},"B. J. Berne and G. D. Harp,Advan. Chem. Phys. XVII:63 (1970).",{"id":18,"text":349,"url":18,"identifiers":18},"A. Z. Akcasu and J. J. Duderstadt,Phys. Rev. 188:479 (1969).",{"id":18,"text":351,"url":18,"identifiers":18},"D. Forster and P. C. Martin,Phys. Rev. A 8:1575 (1970).",{"id":18,"text":353,"url":18,"identifiers":18},"H. Mori,Progr. Theor. Phys. 49:1516 (1973).",{"id":18,"text":355,"url":18,"identifiers":18},"H. Mori and H. Fujisaka,Progr. Theor. Phys. 49:764 (1973).",{"id":18,"text":357,"url":18,"identifiers":18},"T. Keyes and I. Oppenheim,Phys. Rev. A 8:973 (1973).",{"id":18,"text":359,"url":18,"identifiers":18},"R. Kapral and M. Winberg,Phys. Rev. A 8:1008 (1973);9:1676 (1974).",{"id":18,"text":361,"url":18,"identifiers":18},"D. Bedeaux and P. Mazur,Physica 73:431 (1974).",{"id":18,"text":363,"url":18,"identifiers":18},"H. Haken,Z. Phys. 219:411 (1969).",{"id":18,"text":365,"url":18,"identifiers":18},"F. Haake,Z. Phys. 223:364 (1969).",{"id":18,"text":367,"url":18,"identifiers":18},"K. Kawasaki and J. D. Gunton,Phys. Rev. A 8:2048 (1973).",{"id":18,"text":369,"url":18,"identifiers":18},"C. R. Willis and R. H. Picard,Phys. Rev. A 9:1343 (1974).",{"id":18,"text":371,"url":18,"identifiers":18},"B. O. Koopman,Proc. Natl. Acad. Sci. 17:315 (1931).",{"id":18,"text":373,"url":18,"identifiers":18},"J. von Neumann,Ann. Math,33:587 (1932).",{"id":18,"text":375,"url":18,"identifiers":18},"K. S. J. Nordholm and R. Zwanzig,J. Stat. Phys. 11:143 (1974).",{"id":18,"text":377,"url":18,"identifiers":18},"K. S. J. Nordholm, Nonlinearities and Fluctuations in Microscopic Transport Theory, Diss. Univ. of Maryland, May 1972.",{"id":18,"text":379,"url":18,"identifiers":18},"R. Kubo,J. Phys. Soc. Japan 12:570 (1957); R. Kubo, M. Yokota, and S. Nakajima,J. Phys. Soc. Japan 12:1203 (1957).",{"id":18,"text":381,"url":18,"identifiers":18},"G. L. Sewell,Physica 31:1520 (1965);34:493 (1967).",{"id":18,"text":383,"url":18,"identifiers":18},"E. Wigner,Phys. Rev. 40: 749 (1932).",{"id":18,"text":385,"url":18,"identifiers":18},"J. E. Moyal,Proc. Camb. Phil. Soc. 45:99 (1949).",{"id":18,"text":387,"url":18,"identifiers":18},"K. Kawasaki,J. Phys. A 6:1289 (1973).",{"id":18,"text":389,"url":18,"identifiers":18},"J. McKenna and H. L. Frisch,Phys. Rev. 145:93 (1966).",{"id":18,"text":391,"url":18,"identifiers":18},"J. L. Lebowitz and E. Rubin,Phys. Rev. 131:2381 (1963); J. L. Lebowitz and P. Resibois,Phys. Rev. 139:A1101 (1965).",{"id":18,"text":393,"url":18,"identifiers":18},"A. Muriel and M. 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In addition we deduce (direction-dependent) Kubo-Green-type formulas for the mobility and the Hessian of the surface tension, thus obtaining an explicit description of anisotropy in terms of microscopic quantities. The choice of dynamics affects only the mobility, a scalar function of the direction.",{"EN":406},"Stochastic Ising models and anisotropic front propagation",{"VOID":408},"10.1007\u002FBF02181480","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002FBF02181480",[411,426],{"id":412,"sortIndex":100,"researcher":18,"roles":413,"affiliations":414,"properties":423},"98ed31f3-ef8e-4bae-94f6-d17078f3b52a",[132],[415],{"id":18,"sortIndex":19,"affiliation":416,"properties":18},{"id":417,"createTime":418,"updateTime":418,"relativeEntities":419,"slug":18,"properties":420,"entityType":44,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19},"1284a2c7-b0f4-494f-ae4b-6eb69935818a","2023-12-01T04:52:03.227+00:00",[],{"title":421},{"VI":422},"Department of Mathematics, University of Wisconsin-Madison, Madison",{"title":424},{"VI":425},"P. E. Souganidis",{"id":427,"sortIndex":19,"researcher":18,"roles":428,"affiliations":429,"properties":438},"24201036-e566-4da2-b8bc-291a756dcc33",[132],[430],{"id":18,"sortIndex":19,"affiliation":431,"properties":18},{"id":432,"createTime":433,"updateTime":433,"relativeEntities":434,"slug":18,"properties":435,"entityType":44,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19},"2dfe2a28-cd01-418d-9fe8-2a238eb40602","2024-01-12T22:04:22.637+00:00",[],{"title":436},{"VI":437},"Department of Mathematics and Statistics, University of Massachusetts-Amherst, Amherst",{"title":439},{"VI":440},"M. A. Katsoulakis",{"url":409,"publisher":442,"properties":469},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":443,"slug":10,"properties":444,"entityType":16,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19,"subjectFields":447,"manageAffiliations":448,"indexDatabases":449,"url":18,"thumbnailPath":18,"statistic":464,"gsStatistic":18,"type":104,"analyzePriority":18},[],{"issn":445,"title":446},{"VOID":13},{"VOID":15},[],[],[450,457],{"id":60,"indexDatabase":451,"url":18,"indexYears":18,"academicFieldIds":456,"indexDatabaseRanking":18},{"id":62,"createTime":63,"updateTime":64,"relativeEntities":452,"label":453,"description":454,"key":71,"publicationTags":455,"standard":18},[],{"EN":67,"VI":67},{"VI":69,"EN":70},[73,74],[76],{"id":78,"indexDatabase":458,"url":91,"indexYears":92,"academicFieldIds":463,"indexDatabaseRanking":18},{"id":80,"createTime":81,"updateTime":82,"relativeEntities":459,"label":460,"description":461,"key":88,"publicationTags":462,"standard":18},[],{"EN":85,"VI":85},{"EN":85,"VI":87},[90],[94,95],{"impactFactor":19,"impactFactorByYear":465,"i10Index":19,"i10IndexLast5Year":19,"totalPublication":98,"totalPublicationByYear":466,"totalCitation":19,"totalCitationByYear":467,"totalCitationPerPublication":19,"totalCitationPerPublicationByYear":468,"hindexLast5Year":19,"hindex":19},{},{"1992":100,"2000":100,"2023":100,"2024":101},{},{},{"volume":470,"pages":472},{"VOID":471},"87",{"VOID":473},"63-89","1997-04-01",1997,{"id":477,"createTime":478,"updateTime":479,"relativeEntities":480,"slug":481,"properties":482,"entityType":124,"verifyStatus":125,"verifyTime":479,"verifyNote":126,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19,"primaryUrl":491,"fullTextUrl":18,"authors":492,"publicationType":145,"publisherRelationship":533,"citationCount":18,"citationInfo":18,"publishDate":566,"publishYear":567,"citationAnalyzeStatus":17,"lastCitationAnalyze":18,"indexDatabases":18,"openAccess":18,"references":18,"isForceReanalyzing":181},"f98940fe-2d42-4442-8bd4-d1a73e5d3aa0","2024-01-04T15:43:56.522+00:00","2024-12-19T23:58:53.648+00:00",[],"Kinetic-Theory-of-Jet-Dynamics-in-the-Stochastic-Barotropic-and-2D-Navier-Stokes-Equations",{"references":483,"abstract":485,"title":487,"doi":489},{"VOID":484},"Bakas, N., Ioannou, P.: A theory for the emergence of coherent structures in beta-plane turbulence (2013). arXiv:1303.6435\nBerhanu, M., Monchaux, R., Fauve, S., Mordant, N., Pétrélis, F., Chiffaudel, A., Daviaud, F., Dubrulle, B., Marié, L., Ravelet, F., Bourgoin, M., Odier, P., Pinton, J.-F., Volk, R.: Magnetic field reversals in an experimental turbulent dynamo. 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Math. 54, 1386–1402 (2001)\nYamaguchi, Y.Y., Bouchet, F., Dauxois, T.: Algebraic correlation functions and anomalous diffusion in the Hamiltonian mean field model. J. Stat. Mech. 1, 20 (2007)\nYin, Z., Montgomery, D.C., Clercx, H.J.H.: Alternative statistical-mechanical descriptions of decaying two-dimensional turbulence in terms of “patches” and “points”. Phys. Fluids 15, 1937–1953 (2003)",{"EN":486},"We discuss the dynamics of zonal (or unidirectional) jets for barotropic flows forced by Gaussian stochastic fields with white in time correlation functions. This problem contains the stochastic dynamics of 2D Navier-Stokes equation as a special case. We consider the limit of weak forces and dissipation, when there is a time scale separation between the inertial time scale (fast) and the spin-up or spin-down time (large) needed to reach an average energy balance. In this limit, we show that an adiabatic reduction (or stochastic averaging) of the dynamics can be performed. We then obtain a kinetic equation that describes the slow evolution of zonal jets over a very long time scale, where the effect of non-zonal turbulence has been integrated out. The main theoretical difficulty, achieved in this work, is to analyze the stationary distribution of a Lyapunov equation that describes quasi-Gaussian fluctuations around each zonal jet, in the inertial limit. This is necessary to prove that there is no ultraviolet divergence at leading order, in such a way that the asymptotic expansion is self-consistent. We obtain at leading order a Fokker–Planck equation, associated to a stochastic kinetic equation, that describes the slow jet dynamics. Its deterministic part is related to well known phenomenological theories (for instance Stochastic Structural Stability Theory) and to quasi-linear approximations, whereas the stochastic part allows to go beyond the computation of the most probable zonal jet. We argue that the effect of the stochastic part may be of huge importance when, as for instance in the proximity of phase transitions, more than one attractor of the dynamics is present.",{"EN":488},"Kinetic Theory of Jet Dynamics in the Stochastic Barotropic and 2D Navier-Stokes Equations",{"VOID":490},"10.1007\u002Fs10955-013-0828-3","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs10955-013-0828-3",[493,508,520],{"id":494,"sortIndex":19,"researcher":18,"roles":495,"affiliations":496,"properties":505},"d783e12f-f09a-4dcf-970d-1cf2bc399d5d",[132],[497],{"id":18,"sortIndex":19,"affiliation":498,"properties":18},{"id":499,"createTime":500,"updateTime":500,"relativeEntities":501,"slug":18,"properties":502,"entityType":44,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19},"f3d871b9-abc9-4251-9a88-581656c6252e","2024-01-04T15:43:56.628+00:00",[],{"title":503},{"VI":504},"Laboratoire de physique, École Normale Supérieure de Lyon et CNRS, Lyon, France",{"title":506},{"VI":507},"Freddy Bouchet",{"id":509,"sortIndex":100,"researcher":18,"roles":510,"affiliations":511,"properties":517},"19a3e101-36e0-47d1-89f2-601708f0b279",[132],[512],{"id":18,"sortIndex":19,"affiliation":513,"properties":18},{"id":499,"createTime":500,"updateTime":500,"relativeEntities":514,"slug":18,"properties":515,"entityType":44,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19},[],{"title":516},{"VI":504},{"title":518},{"VI":519},"Cesare Nardini",{"id":521,"sortIndex":522,"researcher":18,"roles":523,"affiliations":524,"properties":530},"8331ccf3-2bb2-4636-a658-11adc9c687bd",2,[132],[525],{"id":18,"sortIndex":19,"affiliation":526,"properties":18},{"id":499,"createTime":500,"updateTime":500,"relativeEntities":527,"slug":18,"properties":528,"entityType":44,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19},[],{"title":529},{"VI":504},{"title":531},{"VI":532},"Tomás Tangarife",{"url":491,"publisher":534,"properties":561},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":535,"slug":10,"properties":536,"entityType":16,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19,"subjectFields":539,"manageAffiliations":540,"indexDatabases":541,"url":18,"thumbnailPath":18,"statistic":556,"gsStatistic":18,"type":104,"analyzePriority":18},[],{"issn":537,"title":538},{"VOID":13},{"VOID":15},[],[],[542,549],{"id":60,"indexDatabase":543,"url":18,"indexYears":18,"academicFieldIds":548,"indexDatabaseRanking":18},{"id":62,"createTime":63,"updateTime":64,"relativeEntities":544,"label":545,"description":546,"key":71,"publicationTags":547,"standard":18},[],{"EN":67,"VI":67},{"VI":69,"EN":70},[73,74],[76],{"id":78,"indexDatabase":550,"url":91,"indexYears":92,"academicFieldIds":555,"indexDatabaseRanking":18},{"id":80,"createTime":81,"updateTime":82,"relativeEntities":551,"label":552,"description":553,"key":88,"publicationTags":554,"standard":18},[],{"EN":85,"VI":85},{"EN":85,"VI":87},[90],[94,95],{"impactFactor":19,"impactFactorByYear":557,"i10Index":19,"i10IndexLast5Year":19,"totalPublication":98,"totalPublicationByYear":558,"totalCitation":19,"totalCitationByYear":559,"totalCitationPerPublication":19,"totalCitationPerPublicationByYear":560,"hindexLast5Year":19,"hindex":19},{},{"1992":100,"2000":100,"2023":100,"2024":101},{},{},{"volume":562,"pages":564},{"VOID":563},"153",{"VOID":565},"572-625","2013-09-24",2013,{"id":569,"createTime":570,"updateTime":571,"relativeEntities":572,"slug":573,"properties":574,"entityType":124,"verifyStatus":125,"verifyTime":571,"verifyNote":126,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19,"primaryUrl":583,"fullTextUrl":18,"authors":584,"publicationType":145,"publisherRelationship":600,"citationCount":18,"citationInfo":18,"publishDate":633,"publishYear":634,"citationAnalyzeStatus":17,"lastCitationAnalyze":18,"indexDatabases":18,"openAccess":18,"references":18,"isForceReanalyzing":181},"46994519-07bb-4b45-a350-6ce0648d9568","2024-01-21T16:16:44.811+00:00","2025-01-27T23:58:41.959+00:00",[],"Growth-Diversity-in-One-Dimensional-Fluctuating-Interfaces",{"references":575,"abstract":577,"title":579,"doi":581},{"VOID":576},"J. Krug, Adv. Phys. 46:139 (1997); J. Krug and H. Spohn, in Solids Far from Equilibrium: Growth, Morphology and Defects, C. Godrèche, ed. (Cambridge University Press, Cambridge, 1995).\nT. Halpin-Healy and Y.-C. Zhang, Phys. Rep. 254:215 (1995).\nP. Meakin, Phys. Rep. 235:189 (1993); P. Meakin, in Phase Transitions and Critical Phenomena, C. Domb and J. L. Lebowitz, eds. (Academic, New York, 1988), Vol. 12.\nP. Politi, G. Grenet, A. Marty, A. Ponchet, and J. Villain, Phys. Rep. 324:271 (2000); D. E. Wolf and J. Villain, Europhys. Lett. 13:389 (1990).\nT. Hwa, Phys. Rev. Lett. 69:1552 (1992).\nM. Kardar and Y.-C. Zhang, Phys. Rev. Lett. 58:2087 (1987).\nJ. Krug, Phys. Rev. Lett. 72:2907 (1994).\nT. J. Newman and M. R. Swift, Phys. Rev. Lett. 79:2261 (1997).\nJ. M. López, Phys. Rev. Lett. 83:4594 (1999).\nH. M. Koduvely and D. Dhar, J. Stat. Phys. 90:57 (1998).\nJ. Kertész and D. E. Wolf, Phys. Rev. Lett. 62:2571 (1989).\nT. Ala-Nissila, T. Hjelt, J. M. Kosterlitz, and O. Venäläinen, J. Stat. Phys. 72:207 (1993).\nB. M. Forrest and L.-H. Tang, Phys. Rev. Lett. 64:1405 (1990).\nP. Meakin, P. Ramanlal, L. M. Sander, and R. C. Ball, Phys. Rev. A 34:5091 (1986); M. Plischke, Z. Rácz, and D. Liu, Phys. Rev. B 35:3485 (1987).\nRelated growth process involving dimers were introduced recently by H. Hinrichsen and G. Ódor, Phys. Rev. Lett. 82:1205 (1999); H. Hinrichsen and G. Ódor, Phys. Rev. E 60:3842 (1999); J. D. Noh, H. Park, and M. den Nijs, Phys. Rev. Lett. 84:3891 (2000).\nJ. G. Amar and F. Family, Phys. Rev. A 41:3399 (1990); K. Moser and D. E. Wolf, J. Phys. A 27:4049 (1994).\nM. Kardar, G. Parisi, and Y.-C. Zhang, Phys. Rev. Lett. 56:889 (1986).\nM. Barma and D. Dhar, Phys. Rev. Lett. 73:2135 (1994); D. Dhar and M. Barma, Pramana 41:L193 (1993); M. Barma, in Nonequilibrium Statistical Mechanics in One Dimension, V. Privman, ed. (Cambridge University Press, 1996); R. B. Stinchcombe, M. D. Grynberg, and M. Barma, Phys. Rev. E 47:4018 (1993).\nF. Family and T. Vicsek, J. Phys. A 18:L75 (1985).\nG. M. Schütz, in Phase Transitions and Critical Phenomena, C. Domb and J. L. Lebowitz, eds. (Academic, London 2000); M. D. Grynberg and R. B. Stinchcombe, Phys. Rev. E 61:324 (2000).\nM. R. Evans, Y. Kafri, H. M. Koduvely, and D. Mukamel, Phys. Rev. E 58:2764 (1998).",{"EN":578},"A set of one dimensional interfaces involving attachment and detachment of k-particle neighbors is studied numerically using both large scale simulations and finite size scaling analysis. A labeling algorithm introduced by Barma and Dhar in related spin Hamiltonians enables to characterize the asymptotic behavior of the interface width according to the initial state of the substrate. For equal deposition-evaporation probability rates it is found that in most cases the initial conditions induce regimes of saturated width. In turn, scaling exponents obtained for initially flat interfaces indicate power law growths which depend on k. In contrast, for unequal probability rates the interface width exhibits a logarithmic growth for all k>1 regardless of the initial state of the substrate.",{"EN":580},"Growth Diversity in One Dimensional Fluctuating Interfaces",{"VOID":582},"10.1023\u002FA:1004836107101","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1023\u002FA:1004836107101",[585],{"id":586,"sortIndex":19,"researcher":18,"roles":587,"affiliations":588,"properties":597},"c614a06d-4991-4641-92ed-da95f492c815",[132],[589],{"id":18,"sortIndex":19,"affiliation":590,"properties":18},{"id":591,"createTime":592,"updateTime":592,"relativeEntities":593,"slug":18,"properties":594,"entityType":44,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19},"87de006b-7f01-4c4e-977e-6947219c9803","2023-12-27T17:57:09.743+00:00",[],{"title":595},{"VI":596},"Departamento de Física, Universidad Nacional de la Plata, La Plata, Argentina",{"title":598},{"VI":599},"M. D. Grynberg",{"url":583,"publisher":601,"properties":628},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":602,"slug":10,"properties":603,"entityType":16,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19,"subjectFields":606,"manageAffiliations":607,"indexDatabases":608,"url":18,"thumbnailPath":18,"statistic":623,"gsStatistic":18,"type":104,"analyzePriority":18},[],{"issn":604,"title":605},{"VOID":13},{"VOID":15},[],[],[609,616],{"id":60,"indexDatabase":610,"url":18,"indexYears":18,"academicFieldIds":615,"indexDatabaseRanking":18},{"id":62,"createTime":63,"updateTime":64,"relativeEntities":611,"label":612,"description":613,"key":71,"publicationTags":614,"standard":18},[],{"EN":67,"VI":67},{"VI":69,"EN":70},[73,74],[76],{"id":78,"indexDatabase":617,"url":91,"indexYears":92,"academicFieldIds":622,"indexDatabaseRanking":18},{"id":80,"createTime":81,"updateTime":82,"relativeEntities":618,"label":619,"description":620,"key":88,"publicationTags":621,"standard":18},[],{"EN":85,"VI":85},{"EN":85,"VI":87},[90],[94,95],{"impactFactor":19,"impactFactorByYear":624,"i10Index":19,"i10IndexLast5Year":19,"totalPublication":98,"totalPublicationByYear":625,"totalCitation":19,"totalCitationByYear":626,"totalCitationPerPublication":19,"totalCitationPerPublicationByYear":627,"hindexLast5Year":19,"hindex":19},{},{"1992":100,"2000":100,"2023":100,"2024":101},{},{},{"volume":629,"pages":631},{"VOID":630},"103",{"VOID":632},"395-408","2001-04-01",2001,{"id":636,"createTime":637,"updateTime":637,"relativeEntities":638,"slug":639,"properties":640,"entityType":124,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19,"primaryUrl":649,"fullTextUrl":18,"authors":650,"publicationType":145,"publisherRelationship":704,"citationCount":18,"citationInfo":18,"publishDate":737,"publishYear":738,"citationAnalyzeStatus":17,"lastCitationAnalyze":18,"indexDatabases":18,"openAccess":18,"references":18,"isForceReanalyzing":181},"03f8b518-aa23-4f87-b8c8-7c1a6079c083","2023-11-30T23:58:30.932+00:00",[],"First-passage-time-problems-in-time-dependent-fields",{"references":641,"abstract":643,"title":645,"doi":647},{"VOID":642},"D. C. Schwartz and C. R. Cantor,Cell 37:67 (1984).\nG. F. Carle, M. Frank, and M. V. Olson,Science 232:65 (1986).\nS. Fesjian, H. L. Frisch, and T. Jamil,Biopolymers 25:1179 (1986).\nI. J. Lin and L. Benguigi,Sep. Sci. Tech. 20:359 (1985).\nG. H. Weiss,Adv. Chem. Phys. 13:1 (1967).\nC. W. Gardiner,A Handbook of Stochastic Methods, 2nd ed. (Springer-Verlag, New York, 1985).\nI. Majid, D. Ben-Avraham, S. Havlin, and H. E. Stanley,Phys. Rev. B 30:1626 (1984); S. Havlin, M. Dishon, J. E. Kiefer, and G. H. Weiss,Phys. Rev. Lett. 53:407 (1984).\nG. H. Weiss,J. Stat. Phys. 42:3 (1986).\nM. D. Donsker and S. R. S. Varadhan,Commun. Pure Appl. Math. 32:721 (1979).",{"EN":644},"This paper discusses the simplest first passage time problems for random walks and diffusion processes on a line segment. When a diffusing particle moves in a time-varying field, use of the adjoint equation does not lead to any simplification in the calculation of moments of the first passage time as is the case for diffusion in a time-invariant field. We show that for a discrete random walk in the presence of a sinusoidally varying field there is a resonant frequency ϖ* for which the mean residence time on the line segment is a minimum. It is shown that for a random walk on a line segment of lengthL the mean residence time goes likeL\n2 for largeL when ϖ≠ϖ*, but when ϖ=ϖ* the dependence is proportional toL. The results of our simulation are numerical, but can be regarded as exact. Qualitatively similar results are shown to hold for diffusion processes by a perturbation expansion in powers of a dimensionless velocity. These results are extended to higher values of this parameter by a numerical solution of the forward equation.",{"EN":646},"First passage time problems in time-dependent fields",{"VOID":648},"10.1007\u002FBF01015328","http:\u002F\u002Flink.springer.com\u002F10.1007\u002FBF01015328",[651,680,692],{"id":652,"sortIndex":100,"researcher":18,"roles":653,"affiliations":654,"properties":677},"da0e49cf-a621-4072-88a2-524c1d990e31",[132],[655,667],{"id":656,"sortIndex":100,"affiliation":657,"properties":666},"30792320-cba0-4c57-895e-aa271d9b2cbb",{"id":658,"createTime":659,"updateTime":660,"relativeEntities":661,"slug":662,"properties":663,"entityType":44,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19},"7a719f5a-4652-4e8a-9941-bb40858496ce","2023-12-27T01:00:14.427+00:00","2024-11-26T22:36:19.859+00:00",[],"Department-of-Physics-Bar-Ilan-University-Ramat-Gan-Israel",{"title":664},{"VI":665},"Department of Physics, Bar Ilan University, Ramat Gan, Israel",{},{"id":18,"sortIndex":19,"affiliation":668,"properties":18},{"id":669,"createTime":670,"updateTime":671,"relativeEntities":672,"slug":673,"properties":674,"entityType":44,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19},"4e779147-1286-4822-ae9f-eb17c52e41b5","2024-01-05T11:57:01.622+00:00","2024-09-28T19:57:40.896+00:00",[],"Division-of-Computer-Research-and-Technology-National-Institutes-of-Health-Bethesda",{"title":675},{"VI":676},"Division of Computer Research and Technology, National Institutes of Health, Bethesda",{"title":678},{"VI":679},"Shlomo Havlin",{"id":681,"sortIndex":19,"researcher":18,"roles":682,"affiliations":683,"properties":689},"18bcb14e-5333-4fff-aee8-3e0e9715bc5c",[132],[684],{"id":18,"sortIndex":19,"affiliation":685,"properties":18},{"id":669,"createTime":670,"updateTime":671,"relativeEntities":686,"slug":673,"properties":687,"entityType":44,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19},[],{"title":688},{"VI":676},{"title":690},{"VI":691},"John E. Fletcher",{"id":693,"sortIndex":522,"researcher":18,"roles":694,"affiliations":695,"properties":701},"7bba530c-7c2c-49b6-a4c1-27c9359c9fbf",[132],[696],{"id":18,"sortIndex":19,"affiliation":697,"properties":18},{"id":669,"createTime":670,"updateTime":671,"relativeEntities":698,"slug":673,"properties":699,"entityType":44,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19},[],{"title":700},{"VI":676},{"title":702},{"VI":703},"George H. Weiss",{"url":649,"publisher":705,"properties":732},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":706,"slug":10,"properties":707,"entityType":16,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19,"subjectFields":710,"manageAffiliations":711,"indexDatabases":712,"url":18,"thumbnailPath":18,"statistic":727,"gsStatistic":18,"type":104,"analyzePriority":18},[],{"issn":708,"title":709},{"VOID":13},{"VOID":15},[],[],[713,720],{"id":60,"indexDatabase":714,"url":18,"indexYears":18,"academicFieldIds":719,"indexDatabaseRanking":18},{"id":62,"createTime":63,"updateTime":64,"relativeEntities":715,"label":716,"description":717,"key":71,"publicationTags":718,"standard":18},[],{"EN":67,"VI":67},{"VI":69,"EN":70},[73,74],[76],{"id":78,"indexDatabase":721,"url":91,"indexYears":92,"academicFieldIds":726,"indexDatabaseRanking":18},{"id":80,"createTime":81,"updateTime":82,"relativeEntities":722,"label":723,"description":724,"key":88,"publicationTags":725,"standard":18},[],{"EN":85,"VI":85},{"EN":85,"VI":87},[90],[94,95],{"impactFactor":19,"impactFactorByYear":728,"i10Index":19,"i10IndexLast5Year":19,"totalPublication":98,"totalPublicationByYear":729,"totalCitation":19,"totalCitationByYear":730,"totalCitationPerPublication":19,"totalCitationPerPublicationByYear":731,"hindexLast5Year":19,"hindex":19},{},{"1992":100,"2000":100,"2023":100,"2024":101},{},{},{"volume":733,"pages":735},{"VOID":734},"51",{"VOID":736},"215-232","1988-04-01",1988,{"id":740,"createTime":741,"updateTime":742,"relativeEntities":743,"slug":744,"properties":745,"entityType":124,"verifyStatus":17,"verifyTime":742,"verifyNote":754,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19,"primaryUrl":755,"fullTextUrl":18,"authors":756,"publicationType":145,"publisherRelationship":797,"citationCount":18,"citationInfo":18,"publishDate":830,"publishYear":831,"citationAnalyzeStatus":17,"lastCitationAnalyze":18,"indexDatabases":18,"openAccess":18,"references":18,"isForceReanalyzing":181},"5dd9eafb-4e18-4c31-aea4-10fa2e68d245","2023-12-07T12:34:52.842+00:00","2025-02-15T23:57:37.939+00:00",[],"Random-Birth-and-Death-Networks",{"references":746,"abstract":748,"title":750,"doi":752},{"VOID":747},"Barábasi, A.L., Albert, R.: Emergence of scaling in random networks. Science 286, 509 (1999)\nAlbert, R., Barabási, A.L.: Statistical mechanics of complex networks. Rev. Mod. Phys. 74, 47 (2002)\nAdamic, L.A., Huberman, B.A., Barabasi, A.L., Albert, R., Jeong, H., Bianconi, G.: Power-law distribution of the world wide web. Science 287, 2115a (2000)\nWatts, D.J., Strogatz, S.H.: Collective dynamics of ’small-world’ networks. Nature (London) 393, 440 (1998)\nNewman, M.E.J.: The structure and function of complex networks. SIAM Rev. 45, 167 (2003)\nNewman, M.E.: Scientific collaboration networks: I. Network construction and fundamental results. Phys. Rev. E 64, 016131 (2001)\nNewman, M.E.: Scientific collaboration networks: II. Shortest paths, weighted networks, and centrality. Phys. Rev. E 64, 016132 (2001)\nDorogovtsev, S.N., Mendes, J.F.F.: Evolution of networks. Adv. Phys. 51, 1079 (2002)\nGuimerà, R., Arenas, A., Díaz-Guilera, A., Giralt, F.: Dynamical properties of model communication networks. Phys. Rev. E 66, 026704 (2002)\nOnuttom, N., Iraj, S.: Scaling of load in communications networks. Phys. Rev. E 82, 036102 (2010)\nWilliams, R.J., Martinez, N.D.: Simple rules yield complex food webs. Nature (London) 404, 180 (2000)\nBarbosa, L.A., Silva, A.C., Silva, J.K.L.: Scaling relations in food webs. Phys. Rev. E 73, 041903 (2006)\nOtto, S.B., Rall, B.C., Brose, U.: Allometric degree distributions facilitate food-web stability. Nature (London) 450, 1226 (2007)\nHolme, P., Saramäi, J.: Temporal networks. Phys. Rep. 519, 97 (2012)\nPosfai, M., Hovel, P.: Structural controllability of temporal networks. N. J. Phys. 16, 123055 (2014)\nMoinet, A., Starnini, M., Pastor-Satorras, R.: Burstiness and aging in social temporal networks. Phys. Rev. Lett. 114(10), 108701 (2015)\nDorogovtsev, S.N., Mendes, J.F.F.: Scaling properties of scale-free evolving networks: continuous approach. Phys. Rev. E 63, 056125 (2001)\nMoreno, Y., Gómez, J.B., Pacheco, A.F.: Instability of scale-free networks under node-breaking avalanches. Europhys. Lett. 58, 630 (2002)\nSarshar, N., Roychowdhury, V.: Scale-free and stable structures in complex ad hoc networks. Phys. Rev. E 69, 026101 (2004)\nSlater, J.L., Hughes, B.D., Landman, K.A.: Evolving mortal networks. Phys. Rev. E 73, 066111 (2006)\nMoore, C., Ghoshal, G., Newman, M.E.J.: Exact solutions for models of evolving networks with addition and deletion of nodes. Phys. Rev. E 74, 036121 (2006)\nFarid, N., Christensen, K.: Evolving networks through deletion and duplication. N. J. Phys. 8, 212 (2006)\nSaldaña, J.: Continuum formalism for modeling growing networks with deletion of nodes. Phys. Rev. E 75, 027102 (2007)\nBen-Naim, E., Krapivsky, P.L.: Addition-deletion networks. J. Phys. A 40, 8607 (2007)\nGarcia-Domingo, J.L., Juher, D., Saldaña, J.: Degree correlations in growing networks with deletion of nodes. Phys. D 237, 640 (2008)\nCai, K.-Y., Dong, Z., Liu, K., Wu, X.-Y.: Phase transition on the degree sequence of a random graph process with vertex copying and deletion. Stoch. Process. Appl. 121, 885 (2011)\nKarlin, S., Taylor, H.M.: A First Course in Stochastic Processes. Elsevier, New York (2007)\nBarabási, A.L., Albert, R., Jeong, H.: Mean-field theory for scale-free random networks. Phys. A 272, 173 (1999)\nKrapivsky, P.L., Redner, S., Leyvraz, F.: Connectivity of growing random networks. Phys. Rev. Lett. 85, 4629 (2000)\nDorogovtsev, S.N., Mendes, J.F.F., Samukhin, A.N.: Structure of growing networks with preferential linking. Phys. Rev. Lett. 85, 4633 (2000)\nDorogovtsev, S.N.: Renormalization group for evolving networks. Phys. Rev. E 67, 045102R (2003)\nKrapivsky, P.L., Redner, S.: Finiteness and fluctuations in growing networks. J. Phys. A 35, 9517 (2002)\nShi, D.H., Chen, Q.H., Liu, L.M.: Markov chain-based numerical method for degree distributions of growing networks. Phys. Rev. E 71, 036140 (2005)\nZhang, X.J., He, Z.S., He, Z., Lez, R.B.: SPR-based Markov chain method for degree distribution of evolving networks. Phys. A 391, 3350 (2012)\nBarrat, A., Weigt, M.: On the properties of small-world network models. Eur. Phys. J. B 13, 547 (2000)",{"EN":749},"In this paper, a baseline model termed as random birth-and-death network (RBDN) model is considered, in which at each time step, a new node is added into the network with probability p (\n                  \n                    \n                  \n                  $$0\u003Cp\u003C1$$\n                  \n                    \n                  \n                ) and connected to m old nodes uniformly, or an existing node is deleted from the network with probability \n                  \n                    \n                  \n                  $$q=1-p$$\n                  \n                    \n                  \n                . This model allows for fluctuations in size, reflecting the behaviour of networks in many different disciplines including physics, ecology and economics. The purpose of this study is to develop the RBDN model and explore its basic statistical properties. For different p, we first discuss the network size of RBDN, then combining the stochastic process rules based Markov chain method and the probability generating function method, we provide the exact solutions of the degree distributions. Finally, the tail characteristics of the degree distributions are explored after simulation verification. Our results show that the tail of the degree distribution for RBDN exhibits a Poisson tail in the case of \n                  \n                    \n                  \n                  $$0\u003Cp\\le 1\u002F2$$\n                  \n                    \n                  \n                 and an exponential tail as p approaches to 1.",{"EN":751},"Random Birth-and-Death Networks",{"VOID":753},"10.1007\u002Fs10955-016-1447-6","Author affiliation is 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Plischke and B. Bergersen, Equilibrium Statistical Physics (World Scientific Publishing, Singapore, 1994).",{"doi":928},"10.1142\u002F2247",{"id":18,"text":930,"url":18,"identifiers":931},"C. Domb, Adv. Phys. 9:149 (1960).",{"doi":932},"10.1080\u002F00018736000101189",{"id":18,"text":934,"url":18,"identifiers":935},"H. A. Bethe, Proc. R. Soc. A 150:552 (1935).",{},{"id":18,"text":937,"url":18,"identifiers":938},"E. A. Guggenheim, Proc. R. Soc. A 148:304 (1935).",{},{"id":18,"text":940,"url":18,"identifiers":941},"E. A. Guggenheim and M. L. McGlashan, Proc. R. Soc. A 206:335 (1951).",{},{"id":18,"text":943,"url":18,"identifiers":944},"T. P. Eggarter, Phys. Rev. B 9:2989 (1974).",{"doi":945},"10.1103\u002FPhysRevB.9.2989",{"id":18,"text":947,"url":18,"identifiers":948},"M. Pretti, J. Stat. Phys. 111:993 (2003).",{"doi":949},"10.1023\u002FA:1022862618478",{"id":18,"text":951,"url":18,"identifiers":952},"T. Morita, Physica A 105:620 (1981).",{"doi":953},"10.1016\u002F0378-4371(81)90115-1",{"id":18,"text":955,"url":18,"identifiers":956},"J. L. Monroe, Physica A 256:217 (1998).",{"doi":957},"10.1016\u002FS0378-4371(98)00216-7",{"id":18,"text":959,"url":18,"identifiers":960},"T. A. Arakelyan, V. R. Ohanyan, L. N. Ananikyan, N. S. Ananikyan and M. Roger, Phys. Rev. B 67:024424 (2003).",{"doi":961},"10.1103\u002FPhysRevB.67.024424",{"id":18,"text":963,"url":18,"identifiers":964},"I. Ono, Prog. Theor. Phys. Supp. 87:102 (1986).",{"doi":965},"10.1143\u002FPTPS.87.102",{"id":18,"text":967,"url":18,"identifiers":968},"G. M. Bell and D. A. Lavis, J. Phys. A: Gen. Phys. 3:568 (1970).",{"doi":969},"10.1088\u002F0305-4470\u002F3\u002F5\u002F015",{"id":18,"text":971,"url":18,"identifiers":972},"M. Pretti and C. Buzano, J. Chem. Phys. 121:11856 (2004).",{"doi":973},"10.1063\u002F1.1817924",{"id":18,"text":975,"url":18,"identifiers":976},"C. Buzano, E. De Stefanis and M. Pretti, Phys. Rev. E 71:051502 (2005).",{"doi":977},"10.1103\u002FPhysRevE.71.051502",{"id":18,"text":979,"url":18,"identifiers":980},"P. Chandra and B. Doucot, J. Phys. A: Math. Gen. 27:1541 (1994).",{"doi":981},"10.1088\u002F0305-4470\u002F27\u002F5\u002F019",{"id":18,"text":983,"url":18,"identifiers":984},"J. F. Stilck and M. J. de Oliveira, Phys. Rev. A 42:5955 (1990).",{"doi":985},"10.1103\u002FPhysRevA.42.5955",{"id":18,"text":987,"url":18,"identifiers":988},"F. Aguilera-Granja and R. Kikuchi, Physica A 176:514 (1991).",{"doi":989},"10.1016\u002F0378-4371(91)90228-5",{"id":18,"text":991,"url":18,"identifiers":992},"J. F. Stilck, K. D. Machado and P. Serra, Phys. Rev. Lett. 76:2734 (1996).",{"doi":993},"10.1103\u002FPhysRevLett.76.2734",{"id":18,"text":995,"url":18,"identifiers":996},"P. D. Gujrati and A. Corsi, Phys. Rev. Lett. 87:025701 (2001).",{"doi":997},"10.1103\u002FPhysRevLett.87.025701",{"id":18,"text":999,"url":18,"identifiers":1000},"M. Pretti, Phys. Rev. E 66:061802 (2002).",{"doi":1001},"10.1103\u002FPhysRevE.66.061802",{"id":18,"text":1003,"url":18,"identifiers":1004},"V. V. Papoyan and R. R. Shcherbakov, J. Phys. A: Math. Gen. 28:6099 (1995).",{"doi":1005},"10.1088\u002F0305-4470\u002F28\u002F21\u002F014",{"id":18,"text":1007,"url":18,"identifiers":1008},"M. Mézard and G. Parisi, Eur. Phys. J. B 20:217 (2001).",{"doi":1009},"10.1007\u002FPL00011099",{"id":18,"text":1011,"url":18,"identifiers":1012},"A. Montanari, M. Müller and M. Mézard, Phys. Rev. Lett. 92:185509 (2004).",{"doi":1013},"10.1103\u002FPhysRevLett.92.185509",{"id":18,"text":1015,"url":18,"identifiers":1016},"M. Mézard and R. Zecchina, Phys. Rev. E 66:056126 (2002).",{"doi":1017},"10.1103\u002FPhysRevE.66.056126",{"id":18,"text":1019,"url":18,"identifiers":1020},"M. Pretti and M. Weigt, Europhys. Lett. 75:8 (2006).",{"doi":1021},"10.1209\u002Fepl\u002Fi2006-10070-4",{"id":18,"text":1023,"url":18,"identifiers":1024},"R. Kikuchi, Phys. Rev. 81:988 (1951).",{"doi":1025},"10.1103\u002FPhysRev.81.988",{"id":18,"text":1027,"url":18,"identifiers":1028},"R. Kikuchi, J. Chem. Phys. 60:1071 (1974).",{"doi":1029},"10.1063\u002F1.1681115",{"id":18,"text":1031,"url":18,"identifiers":1032},"G. An, J. Stat. Phys. 52:727 (1988).",{"doi":1033},"10.1007\u002FBF01019726",{"id":18,"text":1035,"url":18,"identifiers":1036},"H. A. Kramers and G. H. Wannier, Phys. Rev. 60:252 (1941).",{"doi":1037},"10.1103\u002FPhysRev.60.252",{"id":18,"text":1039,"url":18,"identifiers":1040},"C. Buzano and M. Pretti, Phys. Rev. B 56:636 (1997).",{"doi":1041},"10.1103\u002FPhysRevB.56.636",{"id":18,"text":1043,"url":18,"identifiers":1044},"H. A. Kramers and G. H. Wannier, Phys. Rev. 60:263 (1941).",{"doi":1045},"10.1103\u002FPhysRev.60.263",{"id":18,"text":1047,"url":18,"identifiers":1048},"P. Azaria, H. T. Diep and H. Giacomini, Phys. Rev. Lett. 59:1629 (1987).",{"doi":1049},"10.1103\u002FPhysRevLett.59.1629",{"id":1051,"createTime":1052,"updateTime":1052,"relativeEntities":1053,"slug":18,"properties":1054,"entityType":124,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19,"primaryUrl":1063,"fullTextUrl":18,"authors":1064,"publicationType":145,"publisherRelationship":1082,"citationCount":18,"citationInfo":18,"publishDate":1115,"publishYear":1116,"citationAnalyzeStatus":17,"lastCitationAnalyze":18,"indexDatabases":18,"openAccess":18,"references":18,"isForceReanalyzing":181},"c1642b0a-7d15-411b-bec0-18e52bf31cb9","2023-12-26T23:57:29.179+00:00",[],{"references":1055,"abstract":1057,"title":1059,"doi":1061},{"VOID":1056},"G. Toulouse,Commun. Phys. 2:115 (1977).\nD. Mattis,Phys. Lett. 56A:421 (1976).\nH. Nishimori and M. Suzuki,Phys. Lett. 81A:84 (1981).\nE. Lieb and D. Mattis,J. Math. Phys. 3:749 (1962).\nD. Mattis,Phys. Rev. Lett. 42:1503 (1979).\nT. Wolfram and J. Callaway,Phys. Rev. 130:2207 (1963).\nP. Fazekas and P. W. Anderson,Phil. Mag. 30:423 (1974).\nP. Fazekas,J. Phys. C 13:L209 (1980).\nL. G. Marland and D. D. Betts,Phys. Rev. Lett. 43:1618 (1979).\nM. Suzuki and S. Miyashita,Can. J. Phys. 56:902 (1978).",{"EN":1058},"Total spin quantum number is rigorously calculated for a quantum version of the Mattis model of random spin systems. Crossover between three universality classes of the Ising model, theXY model, and the Heisenberg model is explicitly worked out in the presence of randomness. The randomness of the type of the Mattis model is shown to have no thermodynamic effects even in quantum systems.",{"EN":1060},"Spin quantum number in the ground state of the Mattis-Heisenberg model",{"VOID":1062},"10.1007\u002FBF01010945","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002FBF01010945",[1065],{"id":1066,"sortIndex":19,"researcher":18,"roles":1067,"affiliations":1068,"properties":1079},"c81f5b6b-9bff-40c7-a427-b89e30ca8e88",[132],[1069],{"id":18,"sortIndex":19,"affiliation":1070,"properties":18},{"id":1071,"createTime":1072,"updateTime":1073,"relativeEntities":1074,"slug":1075,"properties":1076,"entityType":44,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19},"0adde2c3-521b-4975-9b5a-d68c9925c949","2023-12-12T14:18:13.601+00:00","2025-06-11T23:45:43.039+00:00",[],"Department-of-Physics-University-of-Tokyo-Tokyo-Japan",{"title":1077},{"VI":1078},"Department of Physics, University of Tokyo, Tokyo, Japan",{"title":1080},{"VI":1081},"Hidetoshi Nishimori",{"url":1063,"publisher":1083,"properties":1110},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":1084,"slug":10,"properties":1085,"entityType":16,"verifyStatus":17,"verifyTime":18,"verifyNote":18,"syncStatus":17,"languages":18,"translateLanguages":18,"viewCount":19,"subjectFields":1088,"manageAffiliations":1089,"indexDatabases":1090,"url":18,"thumbnailPath":18,"statistic":1105,"gsStatistic":18,"type":104,"analyzePriority":18},[],{"issn":1086,"title":1087},{"VOID":13},{"VOID":15},[],[],[1091,1098],{"id":60,"indexDatabase":1092,"url":18,"indexYears":18,"academicFieldIds":1097,"indexDatabaseRanking":18},{"id":62,"createTime":63,"updateTime":64,"relativeEntities":1093,"label":1094,"description":1095,"key":71,"publicationTags":1096,"standard":18},[],{"EN":67,"VI":67},{"VI":69,"EN":70},[73,74],[76],{"id":78,"indexDatabase":1099,"url":91,"indexYears":92,"academicFieldIds":1104,"indexDatabaseRanking":18},{"id":80,"createTime":81,"updateTime":82,"relativeEntities":1100,"label":1101,"description":1102,"key":88,"publicationTags":1103,"standard":18},[],{"EN":85,"VI":85},{"EN":85,"VI":87},[90],[94,95],{"impactFactor":19,"impactFactorByYear":1106,"i10Index":19,"i10IndexLast5Year":19,"totalPublication":98,"totalPublicationByYear":1107,"totalCitation":19,"totalCitationByYear":1108,"totalCitationPerPublication":19,"totalCitationPerPublicationByYear":1109,"hindexLast5Year":19,"hindex":19},{},{"1992":100,"2000":100,"2023":100,"2024":101},{},{},{"volume":1111,"pages":1113},{"VOID":1112},"26",{"VOID":1114},"839-845","1981-12-01",1981]