Theory of fluctuations in nonequilibrium electron gas

La Rivista del Nuovo Cimento (1971-1977) - Tập 2 - Trang 1-88 - 2007
S. V. Gantsevich1, V. L. Gurevich1, R. Katilius1
1A. F. Ioffe Physico-Technical Institute, Academy of Sciences of the URSS, Leningrad, USSR

Tài liệu tham khảo

L. D. Landau andE. M. Lifshitz:Statistical Physics (Reading, Mass., 1958). S. M. Rytov:Theory of Electrical Fluctuations and Thermal Radiation (Moscow, 1953);M. L. Levin andS. M. Rytov:Theory of Equilibrium Thermal Fluctuations in Electrodynamics (Moscow, 1967);S. M. Rytov:Introduction to Statistical Radiophysics (Moscow, 1976) (in Russian). G. H. Wannier:Statistical Physics (New York, N. Y., 1966). S. R. De Groot andP. Mazur:Nonequilibrium Thermodynamics (Amsterdam, 1962). H. B. Callen andT. A. Welton:Phys. Rev.,83, 34 (1951). J. Richardson:IRE Trans. Inform. Theory,1, 62 (1955). B. B. Kadomtsev:Žurn. Ėksp. Teor. Fiz.,32, 943 (1957) (English translation:Sov. Phys. JETP,5, 771 (1957)). M. Lax:Rev. Mod. Phys.,32, 25 (1960). M. Lax:Rev. Mod. Phys.,38, 541 (1966). P. J. Price: inFluctuation Phenomena in Solids, edited byR. E. Burgess (New York, N. Y., 1965), p. 355. P. J. Price:Journ. Phys. Chem. Sol.,8, 136 (1959);IBM Journ. Res. Developm.,3, 191 (1959);F. V. Bunkin:Žurn. Ėksp. Teor. Fiz.,41, 288 (1961) (English translation:Sov. Phys. JETP,14, 206 (1962));V. L. Gurevich:Žurn. Ėksp. Teor. Fiz.,43, 1771 (1962) (English translation:Sov. Phys. JETP,16, 1252 (1963));Sh. M. Kogan:Fiz. Tverd. Tela,5, 224 (1963) (English translation:Sov. Phys. Solid State,5, 162 (1963)). V. L. Gurevich andR. Katilius:Žurn. Ėksp. Teor. Fiz.,49, 1145 (1965) (English translation:Sov. Phys. JETP,22, 796 (1966)). G. H. Wannier:Bell. Syst. Techn. Journ.,32, 170 (1953). S. V. Gantsevich, V. L. Gurevich andR. Katilius:Fiz. Tverd. Tela,11, 308 (1969) (English translation:Sov. Phys. Solid State,11, 247 (1969)). Sh. M. Kogan andA. Ya. Shul’man:Žurn. Ėksp. Teor. Fiz.,56, 862 (1969) (English translation:Sov. Phys. JETP,29, 467 (1969)). S. V. Gantsevich, V. L. Gurevich andR. Katilius:Žurn. Ėksp. Teor. Fiz.,57, 503 (1969) (English translation:Sov. Phys. JETP,30, 276 (1970)). Yu. L. Klimontovich:Teor. Mat. Fiz.,9, 109 (1971). Sh. M. Kogan:Teor. Mat. Fiz.,10, 143 (1972) (English translation:Sov. Phys. Theor. Math. Phys.,10, 94 (1972)). H. K. Janssen:Zeits. Phys.,258, 243 (1973). N. G. van Kampen:Phys. Lett.,50 A, 237 (1974). V. D. Kagan:Fiz. Tverd. Tela,17, 1969 (1975) (English translation:Sov. Phys. Solid State,17, 1289 (1975)). J. Logan andM. Kac:Phys. Rev. A,13, 458 (1976). Sh. M. Kogan andA. Ya. Shul’man:Fiz. Tverd. Tela,12, 1119 (1970) (English translation:Sov. Phys. Solid State,12, 874 (1970)). S. V. Gantsevich, V. L. Gurevich andR. Katilius:Žurn. Ėksp. Teor. Fiz. 59, 533 (1970) (English translation:Sov. Phys. JETP,32, 291 (1971)). K. M. van Vliet:Journ. Math. Phys.,12, 1981 (1971). K. M. van Vliet:Journ. Math. Phys.,12, 1998 (1971). J. Keizer:Journ. Chem. Phys.,63, 398 (1975). Sh. M. Kogan andA. Ya. Shul’man:Fiz. Tverd. Tela,9, 2259 (1967) (English translation:Sov. Phys. Solid State,9, 1771 (1968)). A. Ya. Shul’man:Fiz. Tverd. Tela,12, 1181 (1970) (English translation:Sov. Phys. Solid State,12, 922 (1970)). Yu. V. Gulyaev:Fiz. Tech. Polupr.,3, 246 (1969) (English translation:Sov. Phys. Semicond.,3, 203 (1969)). S. V. Gantsevich, V. L. Gurevich, V. D. Kagan andR. Katilius: inProceedings of the Second International Conference on Light Scattering in Solids, Paris, 1971, edited byM. Balkanski (Paris, 1971), p. 94. S. V. Gantsevich, V. L. Gurevich andR. Katilius:Phys. Cond. Matter,18, 165 (1974). R. E. Peierls:Quantum Theory of Solids (Oxford, 1955), p. 124. L. V. Keldysh:Žurn. Ėksp. Teor. Fiz.,47, 1515 (1964) (English translation:Sov. Phys. JETP,20, 1018 (1965)). E. C. G. Stueckelberg:Helv. Phys. Acta,25, 577 (1952). W. Schockley:Bell. Syst. Tech. Journ.,30, 990 (1951);Solid State Electron.,2, 35 (1961);G. A. Baraff:Phys. Rev.,128, 2307 (1962);133, A 26 (1964). E. M. Conwell:High Field Transport in Semiconductors (New York, N. Y., 1967);V. L. Ginzburg andA. V. Gurevich:Usp. Fiz. Nauk,70, 201 (1960) (English translation:Sov. Phys. Usp.,3, 115 (1960));V. L. Ginzburg:Electromagnetic Waves in Plasma (Moscow, 1967);V. Dienys andJ. Požela:Hot Electrons (Vilnius, 1971);F. G. Bass andYu. Gurevich:Hot Electrons and Strong Electromagnetic Waves in Semiconductors and Gaseous Discharge Plasmas (Moscow, 1975) (in Russian). D. Healey andT. P. McLean:Phys. Lett.,29 A, 607 (1969);A. Mooradian andA. L. McWhorter: inProceedings of Tenth International Conference on Physics of Semiconductors, Cambridge, Mass., 1970, edited byS. P. Keller, J. C. Hensel andF. Stern (Oak Ridge, Tenn., 1970), p. 380;A. Mooradian: inLaser Handbuch, edited byF. T. Arecchi andE. O. Schulz-Du Bois, Vol.2 (Amsterdam, 1972), p. 1309;R. S. Turtelli, A. R. B. De Castro andR. C. C. Leite:Sol. State Comm.,16, 969 (1975). A. A. Abrikosov andI. M. Khalatnikov:Žurn. Ėksp. Teor. Fiz.,34, 198 (1958) (English translation:Sov. Phys. JETP,7, 135 (1958)). L. P. Gor’kov, I. Ye. Dzyaloshinskii andL. P. Pitaevskii:Proceedings of the IZMIRAN,17, (27), 203 (1960) (in Russian). P. M. Mathews, I. I. Shapiro andD. L. Falkoff:Phys. Rev.,120, 1 (1960). Yu. L. Klimontovich:The Statistical Theory of Nonequilibrium Processes in Gases (Oxford, 1967). W. A. Schlup:Phys. Kondens. Materie,8, 167 (1968). M. Bixon andR. Zwanzig:Phys. Rev.,187, 267 (1969). F. L. Hinton:Phys. Fluids,13, 857 (1970). R. F. Fox andG. E. Uhlenbeck:Phys. Fluids,13, 2881 (1970). F. Schlögl:Zeits. Phys.,244, 199 (1971). W. A. Schlup:Phys. Kondens. Materie,13, 89 (1971). P. S. Lee andT. Y. Wu:Int. Journ. Theor. Phys.,7, 267 (1973). P. M. Tomchuk andA. A. Chumak:Dokl. Akad. Nauk Ukr. SSR,10A, 931 (1975) (in Russian). N. G. van Kampen: inTopics in Statistical Mechanics and Biophysics, edited byR. A. Piccirelli (AIP Conference Proceedings, No. 27) (New York, N. Y., 1976). H. Haken:Laser Theory, Encyclopedia of Physics, chief editorS. Flügge, Vol.25/2c (Berlin, 1970), p. 38. K. M. van Vliet andJ. Blok:Physica 22, 231 (1956). R. Kubo, K. Matsuo andK. Kitahara:Journ. Stat. Phys.,9, 51 (1973). O. V. Konstantinov andV. I. Perel:Žurn. Ėksp. Teor. Fiz.,39, 197 (1960) (English translation:Sov. Phys. JETP,12, 142 (1961). A. G. Aronov andE. G. Ivchenko:Fiz. Tverd. Tela,13, 2550 (1971) (English translation:Sov. Phys. Solid State,13, 2142 (1972)). P. M. Tomchuk andA. A. Chumak:Ukrain. Fiz. Žurn.,18, 1625 (1973). P. M. Tomchuk andA. A. Chumak:Ukrain. Fiz. Žurn.,18, 1822 (1973). S. S. Rozhkov andP. M. Tomchuk:Žurn. Ėksp. Teor. Fiz.,72, 248 (1977) (English translation:Sov. Phys. JETP,45, 130 (1977)). E. E. Salpeter:Phys. Rev.,120, 1528 (1960). M. S. Grewal:Phys. Rev.,134, A 86 (1964);B. S. Tanenbaum:Phys. Rev.,171, 215 (1968). J. Scheffield:Plasma Scattering of Electromagnetic Radiation (New York, N. Y., 1975). V. L. Gurevich:Žurn. Ėksp. Teor. Fiz.,46, 354 (1964) (English translation:Sov. Phys. JETP,19, 242 (1964)). V. L. Gurevich:Žurn. Ėksp. Teor. Fiz.,47, 1291 (1964) (English translation:Sov. Phys. JETP,20, 873 (1965)). T. Tsukishima andC. K. McLane:Phys. Rev. Lett.,17, 900 (1966). P. M. Platzman andP. A. Wolff:Waves and Interations in Solid-State Plasmas (New York, N.Y., 1973). M. V. Klein: inLight Scattering in Solids, edited byM. Cardona (Berlin, 1975). S. V. Gantsevich, R. Katilius andN. G. Ustinov:Fiz. Tverd. Tela,16, 1106, 1114 (1973) (English translation:Sov. Phys. Solid State,16, 711, 716 (1974)). V. L. Gurevich:Fiz. Techn. Polupr.,2, 1557 (1968) (English translation:Sov. Phys. Semicond.,2, 1299 (1969));N. I. Mayer andM. H. Jørgensen: inFestkörperprobleme,10, 21 (1970);H. Kuzmany:Phys. Stat. Sol.,25 (a), 9 (1974). W. A. Schlup:Phys. Kondens. Materie,13, 307 (1971). K. Kumar andR. E. Robson:Aust. Journ. Phys.,26, 157 (1973). C. Jacoboni:Phys. Stat. Sol.,65 (b), 61 (1974). J. H. Whealton:Phys. Rev. A,11, 297 (1975). A. Van Der Ziel:Proc. IRE,43, 1639 (1955). N. G. van Kampen:Physica,83 B, 1 (1976). A. Ya. Shul’man andSh. M. Kogan:Žurn. Ėksp. Teor. Fiz.,57, 2112 (1969) (English transition:Sov. Phys. JETP,30, 1146 (1970)). R. F. Fox andG. E. Uhlenbeck:Phys. Fluids,13, 1893 (1970). L. Brenig, M. Malek-Mansour andW. Horsthemke:Phys. Lett.,59 A, 341 (1976). L. D. Landau andE. M. Lifshitz:Fluid Mechanics, Chapt. 17 (London, 1959). L. G. H. Huxley andR. W. Crompton:The Diffusion and Drift of Electrons in Gases (New York, N. Y., 1974). B. I. Davydov:Physik. Zeits. Sow.,8, 59 (1935);9, 433 (1936). B. I. Davydov:Žurn. Ėksp. Teor. Fiz.,7, 1069 (1937) (in Russian). I. B. Levinson:Fiz. Tverd. Tela,6, 2113 (1964) (English translation:Sov. Phys. Solid State,6, 1665 (1965)). R. Katilius:Fiz. Tverd. Tela,8, 3484 (1966) (English translation:Sov. Phys. Solid State,8, 2792 (1967)). G. H. Wannier:Amer. Journ. Phys.,39/3, 281 (1971). V. Bareikis, V. Dienys, I. Matulioniene andR. Miliušyte:Liet. Fiz. Rinkings,10, 741 (1970);V. Dienys andJ. Požela:Hot Electrons, Chap. 10, subsect.3 (Vilnius, 1971) (in Russian). W. A. Schlup:Physica,69, 485 (1973). R. R. Kikvidze:Fiz. Tverd. Tela,10, 276 (1968) (English translation:Sov. Phys. Solid State 10, 213 (1968);R. R. Kikvidze andA. A. Rukhadze:Proceedings of the FIAN,61, 3 (1972), see p. 27 (in Russian). J. H. Parker andJ. J. Lowke:Phys. Rev.,181, 290 (1969). J. J. Lowke andJ. H. Parker:Phys. Rev.,181, 302 (1969). H. R. Skullerud:J. Phys B,2, 696 (1969). L. G. H. Huxley:Aust. Journ. Phys.,25, 43 (1972). A. I. McIntosh:Austr. Journ. Phys.,27, 195 (1974). H. R. Skullerud:Aust. Journ. Phys.,27, 195 (1974). G. H. Wannier:Aust. Journ. Phys.,26, 897 (1973). R. E. Robson:Phys. Rev. Lett.,31, 825 (1973). R. E. Robson:Aust. Journ. Phys.,25, 685 (1972). R. Katilius andR. Miliušyte: to be published. Sh. M. Kogan:Fiz. Tverd. Tela,4, 1891 (1962). (English translation:Sov. Phys. Solid State,4, 1386 (1963). T. M. Lifshits, A. Ya. Oleinikov andA. Ya. Shul’man:Phys. Stat. Sol.,14, 511 (1966). A. F. Volkov andSh. M. Kogan:Usp. Fiz. Nauk,96, 633 (1968) (English translation:Sov. Phys. Usp.,11, 881 (1969)). K. T. Compton:Phys. Rev.,22, 333 (1923). E. B. Wagner, F. J. Davis andG. S. Hurst:Journ. Chem. Phys.,47, 3138 (1967). W. Fawcett andH. Rees:Phys. Lett.,29 A, 578 (1969). P. A. Lebwohl andP. J. Price:Sol. State Comm.,9, 1221 (1971) A. Alberigi Quaranta, V. Borsari, C. Jacoboni andG. Zanarini:Appl. Phys. Lett.,22, 103 (1973). P. E. Bauhahn, G. D. Haddad andN. A. Masnari:Electron. Lett.,9, 460 (1973). M. Abe, S. Yanagisawa, O. Wada andH. Takanashi:Appl. Phys. Lett.,25, 674 (1974). C. Canali, G. Gavioli, F. Nava, G. Ottaviani andL. Reggiani: inProceedings of the XIII International Conference on the Physics of Semiconductors, Rome, 1976, edited byF. G. Fumi (Amsterdam, 1976). J. Canali, C. Jacoboni, G. Ottaviani andA. Alberigi Quaranta:Appl. Phys. Lett.,27, 278 (1975). J. Pozhela andA. Reklaitis:Fiz. Techn. Polupr.,11, 709 (1977) (English translation:Sov. Phys. Semicond.,11, 414 (1977)). K. Okamoto, J. Nishizawa andK. Takahashi:Journ. Appl. Phys.,36, 3716 (1965). J. G. Ruch andG. S. Kino:Appl. Phys. Lett.,10, 40 (1967);Phys. Rev.,174, 921 (1968). V. Bareikis, J. Pozhela andI. Matulioniene: inProceedings of the Ninth International Conference on the Physics of Semiconductors, Moscow, 1968, edited byS. M. Ryvkin (Leningrad, 1968), p. 760;V. Bareikis, I. Vaitkevičiute andJ. Požela:Liet. Fiz. Rinkinys,6, 437 (1966). E. Erlbach andJ. B. Gunn:Phys. Rev. Lett.,8, 280 (1962); inProceedings of the International Conference on the Physics of Semiconductors, Exeter, 1962, edited byA. C. Stickland (London, 1962), p. 128. C. A. Bryant:Bull. Amer. Phys. Soc.,9, 62 (1964). J. B. Gunn:Sol. State. Comm.,1, 88 (1963);IBM Journ. Res. Developm.,8, 141 (1964). J. B. Gunn:Intern. Sci. Techn.,46, 43 (October, 1965). R. A. Messenger andA. van der Ziel:Physica,47, 64 (1970). J. M. Anderson:Journ. Appl. Phys.,46, 1531 (1975). J. Pozhela, V. Bareikis andI. Matulioniene:Fiz. Techn. Polupr.,2, 606 (1968) (English translation:Sov. Phys. Semicond.,2, 503 (1968)). T. W. Sigmon andJ. F. Gibbons:Appl. Phys. Lett.,15, 320 (1969). L. G. Hart:Canad. Journ. Phys.,48, 531 (1970). G. Persky andD. J. Bartelink:Journ. Appl. Phys.,42, 4414 (1971). J. P. Nougier andM. Rolland Phys. Rev. B,8, 5728 (1973). C. Canali, F. Castellani, C. Jacoboni, R. Minder, G. Ottaviani andA. Alberigi Quaranta:Sol. State Comm.,17, 1443 (1975). J. P. Nougier, M. Roland, D. Gasquet andM. Savelli: inProceedings of Fourth International Conference on Physical Aspects of Noise in Solid State Devices, Noordwijkerhout, The Netherlands, 1975 (Eindhoven, 1975), p. 19;M. Rolland andJ. P. Nougier: inProceedings of the XIII International Conference on the Physics of Semiconductors, Rome, 1976, edited byF. G. Fumi (Amsterdam, 1976). K. Sachse: inProceedings of Fourth International Conference on Physical Aspects of Noise in Solid State Devices, Noordwijkerhout, The Netherlands, 1975 (Eindhoven, 1975), p. 15. G. Persky andD. Bartelink:Phys. Rev. B,1, 1614 (1970). J. P. Nougier:Physica,64, 209 (1973).