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Methodological notes


Local non-equilibrium transport models


Institute of Problems of Chemical Physics, Russian Academy of Sciences, Chernogolovka, Moscow Region, Russian Federation

Local non-equilibrium models of heat and mass transport processes are considered and shown to form a hierarchy of parabolic and hyperbolic equations whose order increases with deviation from local equilibrium. The basic features of these models, in particular their relationship to generalized irreversible thermodynamics, are discussed.

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Fulltext is also available at DOI: 10.1070/PU1997v040n10ABEH000292
PACS: 05.60.+w, 05.70.Ln
DOI: 10.1070/PU1997v040n10ABEH000292
URL: https://ufn.ru/en/articles/1997/10/e/
A1997YH86200006
Citation: Sobolev S L "Local non-equilibrium transport models" Phys. Usp. 40 1043–1053 (1997)
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Оригинал: Соболев С Л «Локально-неравновесные модели процессов переноса» УФН 167 1095–1106 (1997); DOI: 10.3367/UFNr.0167.199710f.1095

References (50) ↓ Cited by (107) Similar articles (20)

  1. De Groot S, Mazur P Non-Equilibrium Thermodynamics (Amsterdam: North Holland, 1962) [Translated into Russian (Moscow: Mir, 1964)]
  2. Dyarmati I Non-Equilibrium Thermodynamics. Field Theory and Voriational Principles (Heidelberg: Springer, 1970) [Translated into Russian (Moscow: Mir, 1974)]
  3. Sobolev S L Usp. Fiz. Nauk 161 (3) 5 (1990) [Sov. Phys. Usp. 34 217 (1991)]
  4. Sobolev S L Phys. Lett. A 199 383 (1995)
  5. Sobolev S L Phys. Status Solidi (a) 156 293 (1996)
  6. Sobolev S L Phys. Rev. E 55 6845 (1997)
  7. Jou D, Casas-Vazquez J, Lebon G Extended Irreversible Thermodynamics (Berlin: Springer, 1996); J. Non-Equilib. Thermodyn. 21 103 (1996); Rep. Prog. Phys. 51 1105 (1988)
  8. Muller I, Ruggeri T Extended Thermodynamics (New York: Springer, 1993)
  9. Eu B C Kinetic Theory and Non-Equilibrium Thermodynamics (New York: Willey, 1992)
  10. Nettleton R E, Sobolev S L J. Non-Equilib. Thermodyn. 20 205 (1995); 20 297 (1995); 21 1 (1996)
  11. Casas-Vazquer J, Jou D Phys. Rev. E 49 1040 (1994)
  12. Camacho J, Jou D Phys. Rev. E 52 3490 (1995)
  13. Jou D, Pavon D Phys. Rev. A 44 6496 (1991)
  14. Peshkov V P Fiz. Zh. 8 381 (1944) [J. Phys. USSR 8 (6) 381 (1944)]
  15. Van Gutfeld R J, in Physical Acoustics: Principles and Methods Vol. V (Ed. W P Mason, New York, London: Academic, 1968) p. 233
  16. Torczynski J R Phys. Fluids 27 2636 (1984); Torczynski J R, Gerthsen D, Roesgen T Phys. Fluids 27 2418 (1984)
  17. Borisenko I F, Fedotov A O, Shvartsburg A B Dokl. Akad. Nauk SSSR 313 336 (1990)
  18. Anisimov S I et al. Deistvie Izlucheniya Bol’shoi Moshchnosti na Metally (Interaction of High Power Irradiation with Metals, Moscow: Nauka, 1970)
  19. Zhdanov V M, Alievskii S V Protsessy Perenosa v Molekulyarnykh Gazakh (Transport Processes in Molecular Gases, Moscow: Nauka, 1989)
  20. Potytnyakov S I et al. Fiz. Goreniya Vzryva 21 (2) 19 (1985) [Combust. Explos. Shock Waves 21 146 (1985)]
  21. Aldushin A P, Seplyarskii B S, Shkadinskii K G Fiz. Goreniya Vzryva 16 (1) 36 (1980)
  22. Kiselev O V, Matros Yu Sh Fiz. Goreniya Vzryva 16 (2) 25 (1980)
  23. Wen X, Tolbert W, Dlott D J. Chem. Phys. 99 4140 (1993)
  24. Sobolev S L Inzh.-Fiz. Zh. 66 492 (1994)
  25. Barenblatt G I, in Nelineinye Volny. Samoorganizatsiya (Nonlinear Waves. Selforganisation, Moscow: Nauka, 1983) p. 191
  26. Landau L D, Lifshits E M Gidrodinamika (Hydrodynamics, Moscow: Nauka, 1986)
  27. Sobolev S L J. de Phys. III 3 2261 (1993)
  28. Sobolev S L, Manelis G B Khim. Fiz. 13 (5) 88 (1994)
  29. Sobolev S L, in Proc. Int. Col. on Dust Explosions (Warsaw, 1993) p. 123
  30. Tang D W, Arakl N J. Phys. D: Appl. Phys. 29 2527 (1996)
  31. Kaminski W J. Heat Trans. ASME 112 555 (1990)
  32. Luikov A V Int. J. Heat Mass Trans. 9 139 (1966)
  33. Antonishin N V, Geller M A, Parnas A L Inzh.-Fiz. Zh. 26 503 (1974)
  34. Sobolev S L Phys. Lett. A 197 243 (1995)
  35. Brorson S, Fujimoto J, Ippen E Phys. Rev. Lett. 59 1962 (1987)
  36. Wolfram S Theory and Applications of Cellular Automata (Singapore: World Scientific, 1986)
  37. Oppo G L, Kapral R Phys. Rev. A 33 4219 (1986)
  38. Oono Y, Puri S Phys. Rev. A 38 434 (1988)
  39. Weymann H Am. J. Phys. 35 488 (1967)
  40. Sobolev S L Phys. Lett. A 163 101 (1992)
  41. Sobolev S L Int. J. Heat Mass Trans. 37 2175 (1994)
  42. Sobolev S L Phys. Rev. E 50 3255 (1994)
  43. Sobolev S L Dokl. Akad. Nauk SSSR 303 1184 (1988)
  44. Sobolev S L Zh. Tekh. Fiz. 59 (10) 170 (1989) [Sov. Phys. Tech. Phys. 34 1196 (1989)]
  45. Sobolev S L Inzh.-Fiz. Zh. 58 661 (1990)
  46. Sobolev S L Zh. Tekh. Fiz. 60 (3) 16 (1990)
  47. Sobolev S L Dokl. Akad. Nauk SSSR 310 603 (1990)
  48. Sobolev S L J. Low Temp. Phys. 83 (5-6) 307 (1991)
  49. Sobolev S L Zh. Fiz. Khim. 66 1226 (1992)
  50. Sobolev S L Int. J. Thermophys. 17 1089 (1996)
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