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Nonclassical transport in nonequilibrium rarefied gas flows

 ,  , § 
Federal Research Center "Computer Science and Control" of the Russian Academy of Sciences, Vavilova str. 44, korp. 2, Moscow, 119333, Russian Federation

We discuss physical phenomena in nonequilibrium gas flows where the classical Stokes and Fourier laws for stress and heat transfer are violated. Fundamental differences are revealed between the kinetic description and methods of the thermodynamics of nonequilibrium processes. We study classes of problems for nonequilibrium rarefied gas flows with nonclassical transport. Prospects of experimental verification of the effects are also discussed.

Typically, an English full text is available in about 1 month from the date of publication of the original article.

Correspondence should be addressed to  aristovvl@yandex.ru,  s.zabelok@yandex.ru, and § aafrolova@yandex.ru
Keywords: kinetic theory, Boltzmann equation, nonequilibrium flows, nonclassical transport processes
PACS: 05.20.Dd, 05.70.Ln, 51.10.+y (all)
DOI: 10.3367/UFNe.2024.08.039730
URL: https://ufn.ru/en/articles/2025/3/d/
Citation: Aristov V V, Zabelok S A, Frolova A A "Nonclassical transport in nonequilibrium rarefied gas flows" Phys. Usp. 68 (3) (2025)

Received: 16th, April 2024, revised: 12th, July 2024, 7th, August 2024

Оригинал: Аристов В В, Забелок С А, Фролова А А «Неклассический перенос в неравновесных течениях разреженного газа» УФН 195 276–293 (2025); DOI: 10.3367/UFNr.2024.08.039730

References (75) ↓ Similar articles (10)

  1. Osipov A I, Uvarov A V Usp. Fiz. Nauk 162 (11) 1 (1992); Osipov A I, Uvarov A V Sov. Phys. Usp. 35 903 (1992)
  2. Sobolev S L Usp. Fiz. Nauk 167 1095 (1997); Sobolev S L Phys. Usp. 40 1043 (1997)
  3. Grad H "Principles of the kinetic theory of gases" Thermodynamik Der Gase (Handbuch der Physik. Encyclopedia of Physics, Vol. 3) Vol. 12 (Ed. S Flügge) (Berlin: Springer, 1958) p. 205; Per. na russk. yaz., Termodinamika Gazov (M.: Mashinostroenie, 1970) p. 5-109
  4. Alam M, Mahajan A, Shivanna D J. Fluid Mech. 782 99 (2015)
  5. Maxwell J C Philos. Trans. R. Soc. London 170 231 (1879)
  6. Reynolds O Philos. Trans. R. Soc. London 170 727 (1879)
  7. Knudsen M Ann. Physik 336 205 (1909)
  8. Akhlaghi H, Roohi E J. Phys. Conf. Ser. 362 012045 (2012)
  9. Akhlaghi H, Roohi E, Stefanov S Phys. Rep. 997 1 (2023)
  10. Kryukov A P i dr Usp. Fiz. Nauk 191 113 (2021); Kryukov A P et al Phys. Usp. 64 109 (2021)
  11. Holway L H (Jr.) Phys. Fluids 8 1905 (1965)
  12. Yen S-M Phys. Fluids 9 1417 (1966)
  13. Salwen H, Grosch C E, Ziering S Phys. Fluids 7 180 (1964)
  14. Kogan M N Dinamika Razrezhennogo Gaza. Kineticheskaya Teoriya (M.: Nauka, 1967); Per. na angl. yaz., Kogan M N Rarefied Gas Dynamics (New York: Plenum Press, 1969)
  15. Timokhin M Yu et al Phys. Fluids 27 037101 (2015)
  16. Myong R S Phys. Fluids 23 012002 (2011)
  17. Taheri P, Torrilhon M, Struchtrup H Phys. Fluids 21 017102 (2009)
  18. Ilyin O J. Stat. Mech. 2017 053201 (2017)
  19. Venugopal V, Praturi D S, Girimaji S S J. Fluid Mech. 864 995 (2019)
  20. Baranyai A, Evans D J, Daivis P J Phys. Rev. A 46 7593 (1992)
  21. Todd B D, Evans D J J. Chem. Phys. 103 9804 (1995)
  22. Todd B D, Evans D J Phys. Rev. E 55 2800 (1997)
  23. Wang Z, Bao L, Tong B Phys. Fluids 22 126103 (2010)
  24. Gu X-J, Emerson D R J. Fluid Mech. 636 177 (2009)
  25. Kovács R Entropy 21 718 (2019)
  26. Bishaev A M, Rykov V A Izv. AN SSSR. Mekhanika Zhidkosti Gaza (3) 162 (1980)
  27. Kogan M N, Galkin V S, Fridlender O G Usp. Fiz. Nauk 119 111 (1976); Kogan M N, Galkin V S, Fridlender O G Sov. Phys. Usp. 19 420 (1976)
  28. Zhdanov V M, Roldugin V I Usp. Fiz. Nauk 168 407 (1998); Zhdanov V M, Roldugin V I Phys. Usp. 41 349 (1998)
  29. Zhdanov V M, Roldugin V I Zh. Eksp. Teor. Fiz. 109 1267 (1996); Zhdanov V M, Roldugin V I J. Exp. Theor. Phys. 82 683 (1996)
  30. Waldmann L, Vestner H Physica A 80 523 (1975)
  31. Martyushev L M Usp. Fiz. Nauk 191 586 (2021); Martyushev L M Phys. Usp. 64 558 (2021)
  32. Kuščer I Physica A 133 397 (1985)
  33. Zhdanov V, Kagan Yu, Sazykin A Zh. Eksp. Teor. Fiz. 42 857 (1962); Zhdanov V, Kagan Yu, Sazykin A Sov. Phys. JETP 15 596 (1962)
  34. Jou D, Casas-Vazquez J, Lebon G Rep. Prog. Phys. 51 1105 (1988)
  35. Müller I, Ruggeri T Extended Thermodynamics (Springer Tracts in Natural Philosophy) Vol. 37 (New York: Springer-Verlag, 1993)
  36. Kolobov V I et al J. Comput. Phys. 223 589 (2007)
  37. Shakhov E M Izv. AN SSSR. Mekhanika Zhidkosti Gaza (1) 156 (1968)
  38. Bhatnagar P L, Gross E P, Krook M Phys. Rev. 94 511 (1954)
  39. Kvasnikov I A Molekulyarnaya Fizika (M.: URSS, LIBROKOM, 2011)
  40. Aristov V V, Ivanov M S, Cheremisin F G Zhurn. Vychisl. Matem. Matem. Fiz. 30 623 (1990); Aristov V V, Ivanov M S, Cheremisin F G USSR Comput. Math. Math. Phys. 30 193 (1990)
  41. Aristov V V Direct Methods For Solving The Boltzmann Equation And Study Of Nonequilibrium Flows (Dordrecht: Kluwer Acad. Publ., 2001); Aristov V V Direct Methods For Solving The Boltzmann Equation And Study Of Nonequilibrium Flows 2nd ed. (Dordrecht: Springer, 2012)
  42. Ohwada T Phys. Fluids 8 2153 (1996)
  43. Bird G A Molecular Gas Dynamics (Oxford: Clarendon Press, 1976); Per. na russk. yaz., Berd G Molekulyarnaya Gazovaya Dinamika (M.: Mir, 1981)
  44. Liu C Y, Lees L Rarefied Gas Dynamics. Proc. Of The Second Intern. Symp. On Rarefied Gas Dynamics (Ed. L Talbot) (New York: Academic Press, 1961)
  45. Aristov V V, Zabelok S A, Frolova A A Dokl. Ross. Akad. Nauk 473 286 (2017); Aristov V V, Zabelok S A, Frolova A A Dokl. Phys. 62 149 (2017)
  46. Cercignani C Theory And Application Of The Boltzmann Equation (Edinburgh: Scottish Academic Press, 1975)
  47. Il’in O V Zhurn. Vychisl. Matem. Matem. Fiz. 63 2016 (2023); Ilyin O V Comput. Math. Math. Phys. 63 2297 (2023)
  48. Aristov V V Rarefied Gas Dynamics. Proc. of the 17th Intern. Symp. on Rarefied Gas Dynamics, July 8-14, 1990, Aachen, Germany (Ed. A E Beylich) (Weinheim: VHC, 1991) p. 879
  49. Aristov V V Trudy Pervoi Rossiiskoi natsional’noi konf. po teploobmenu, 21-25 noyabrya 1994, Moskva, Rossiya T. 10, Ch. 2 (M.: MEI, 1994) p. 36
  50. Aristov V V Phys. Lett. A 250 354 (1998)
  51. Aristov V V i dr Zhurn. Vychisl. Matem. Matem. Fiz. 56 869 (2016); Aristov V V et al Comput. Math. Math. Phys. 56 854 (2016)
  52. Aristov V V, Frolova A A, Zabelok S A Commun. Comput. Phys. 11 1334 (2012)
  53. Aristov V V, Panyashkin M V Zhurn. Vychisl. Matem. Matem. Fiz. 51 131 (2011); Aristov V V, Panyashkin M V Comput. Math. Math. Phys. 51 122 (2011)
  54. Ivanov M S, Markelov G N, Gimelshein S F AIAA Paper 98 2669 (1998)
  55. Aristov V V, Frolova A A, Zabelok S A Europhys. Lett. 88 30012 (2009)
  56. Aristov V V, Zabelok S A, Frolova A A Matem. Modelirovanie 21 (12) 59 (2009)
  57. Bird G A AIAA J. 4 (1) 55 (1966)
  58. Cheremisin F G Dokl. Akad. Nauk SSSR 209 811 (1973); Cheremisin F G Sov. Phys. Dokl. 18 203 (1973)
  59. Aoki K, Kanba K, Takata S Phys. Fluids 9 1144 (1997)
  60. Abramov A A, Butkovskii A V, Buzykin O G Phys. Fluids 32 087108 (2020)
  61. Aristov V V, Voronich I V, Zabelok S A Zhurn. Vychisl. Matem. Matem. Fiz. 63 2025 (2023); Aristov V V, Voronich I V, Zabelok S A Comput. Math. Math. Phys. 63 2306 (2023)
  62. Mattia D et al Philos. Trans. R. Soc. A 374 20150035 (2016)
  63. Yoon H W, Cho Y H, Park H B Philos. Trans. R. Soc. A 374 20150024 (2016)
  64. Wang L et al Nano Lett. 17 3081 (2017)
  65. Lasseux D, Valdés Parada F J, Porter M L J. Fluid Mech. 805 118 (2016)
  66. Moghaddam R N, Jamiolahmady M Fuel 173 298 (2016)
  67. Borner A, Panerai F, Mansour N N Int. J. Heat Mass Transfer 106 1318 (2017)
  68. Aristov V V, Zabelok S A, Frolova A A Modelirovanie Neravnovesnykh Struktur Kineticheskimi Metodami (M.: Fizmatkniga, 2017)
  69. Aristov V V, Voronich I V, Zabelok S A Phys. Fluids 33 012009 (2021)
  70. Aristov V V, Voronich I V, Zabelok S A Phys. Fluids 31 097106 (2019)
  71. Landau L D, Lifshits E M Statisticheskaya Fizika Vol. 1 (M.: Fizmatlit, 2002); Per. na angl. yaz., Landau L D, Lifshitz E M Statistical Physics Vol. 1 (Oxford: Pergamon Press, 1980)
  72. Klimontovich Yu L Statisticheskaya Fizika (M.: Nauka, 1982); Per. na angl. yaz., Klimontovich Yu L Statistical Physics (Chur: Harwood Acad. Publ., 1986)
  73. Barker P F, Shneider M N Phys. Rev. A 64 033408 (2001)
  74. Fulton R et al Nature Phys. 2 465 (2006)
  75. Koski J V et al Phys. Rev. Lett. 115 260602 (2015)

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