Reciprocity relations in driven dissipative systems
Tài liệu tham khảo
Agoritsas, 2016, Driven interfaces: from flow to creep through model reduction, J. Statistical Physics, 164, 1394, 10.1007/s10955-016-1588-7
Anosov, 1988
Bakhvalov, 1989
Bassani, 1993, Plastic flow of crystals, Adv. Appl. Mech., 30, 191, 10.1016/S0065-2156(08)70175-3
Alshits, V. I., Indenbom, V. L., 1986. Mechanism of dislocation drag, in: Dislocation in solids, Nabarro, F.R.N, ed.,v. 7, North-Holland. Amserdam, 43–112.
Bensoussan, A., Lions, J. L., Papanicolaou, G., 1978. Asymptotic Analysis for Periodic Structures. North Holland Publ., Amsterdam.
Berdichevsky, 1975, Spatial averaging of periodic structures, Soviet Phys.-Doklady, 20, 334
Berdichevsky, 1997, Thermodynamics of Chaos and Order, Longman
Berdichevsky, 2003, Structure of equations of macrophysics, Phys. Rev. E, 68, 066126, 10.1103/PhysRevE.68.066126
Berdichevsky, 2009
Berdichevsky, 2017, A continuum theory of edge dislocations, J. Mech. Phys. Solids, 106, 95, 10.1016/j.jmps.2017.04.018
Berdichevsky, 2019, Beyond classical thermodynamics: dislocation-mediated plasticity, J. Mech. Phys. Solids, 129, 83, 10.1016/j.jmps.2019.04.014
Berdichevsky, 2020, On double-exponential stress dependence of strain rates in dislocation-mediated plasticity, Phi. Mag. Lett., 100, 189, 10.1080/09500839.2020.1740813
Berdichevsky, 2016, On rheology of cross-linked polymers: 1. slippage of polymer chains and its macroscopic modeling, Int. J. Eng. Sci., 100, 183, 10.1016/j.ijengsci.2015.01.003
Borcea, 1998, Asymptotic analysis of quasi-static transport in high contrast conductive media, SIAM J. Appl. Math., 59, 597, 10.1137/S0036139997321347
Borcea, 1998, Network approximation for transport properties of high contrast materials, SIAM J. Appl. Math., 58, 501, 10.1137/S0036139996301891
Donato, 2005, Averaging of nonstationary parabolic operators with large low order terms, Math. Sci. Appl., 24, 153
Edelen, 1972, A nonlinear Onsager theory of irreversibility, Int. J. Eng. Sci., 10, 481, 10.1016/0020-7225(72)90091-2
Edelen, 1973, On the existence of symmetry relations and dissipation potential, Arch. Rat. Mech. Anal., 51, 218, 10.1007/BF00276075
Erdelyi, 1956
Gardiner, 2009
Goddard, 2014, Edelen’s dissipation potentials and the visco-plasticity of particulate media, Acta Mech., 225, 2239, 10.1007/s00707-014-1123-3
Goddard, 2019, Dissipation potential from elastic collapse, Pros. Royal Soc. A, 475, 1
Jikov, 1994
Kolmogorov, 1937, On reversibility of the statistical laws of nature, Math. Ann. Bd., 113, 766
Kozlov, 1983, A certain type of duality of functionals, Funct. Anal. Appl., 17, 9
Kozlov, 1989, Geometric aspects of averaging, Usp. Mat. Nayk, 44, 79
Kozlov, 1990, Asymptotics of Laplace-Dirichlet integrals, Funct. Anal. Appl., 24, 37, 10.1007/BF01077704
Mathieu, 2018, Steady states, fluctuation-dissipation theorems and homogenization for reversible diffusions in a random enviroment, Arch. Rational Mech. Anal., 203, 277, 10.1007/s00205-018-1245-1
McConnell, 1957
Olmsted, 2005, Atomistic simulations of dislocation mobility in Al,Ni, and Al/ Mg alloys, Model. Simul. Mater. Sc., 13, 371, 10.1088/0965-0393/13/3/007
Onsager, 1931, Reciprocal relations in irreversible processes, Phys. Rev., 37, 10.1103/PhysRev.37.405
Piatnitski, A., 2016. Homogenization and asymptotic properties of singularly perturbed differential operators. Vladimir State University. Doctor of Science Thesis.
Qin, 1992, Non-associated plastic flow in single crystals, J. Mech. Phys. Solids, 40, 835, 10.1016/0022-5096(92)90006-N
Reimann, 2002, Brownian motors: noisy transport far from equilibrium, Phys. Rep., 361, 57, 10.1016/S0370-1573(01)00081-3
Risken, 1989
Sanchez-Palencia, 1980, Non-homogeneous Media and Vibration Theory, Vol. 127
Stratonovich, 1958, Autogenerator sinchronization in presence of noise, Radiotekhnika i ėlektronika, 3, 497
Stratonovich, 1992
Stricker, 2018, Dislocation multiplication in stage II deformation of fcc multi-slip single crystals, J. Mech. Phys. Solids, 119, 319, 10.1016/j.jmps.2018.07.003
Vedanti, 2020, Entropy decay during grain growth, Sci. Rep. 10:11912, 10.1038/s41598-020-68569-z