RSS feeds
РусскийEnglish
Issue 11, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1997

 / 

October

←  →

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.

Fulltext pdf (235 KB)
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)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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 (109) 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)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions