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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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Îðèãèíàë: Ñîáîëåâ Ñ Ë «Ëîêàëüíî-íåðàâíîâåñíûå ìîäåëè ïðîöåññîâ ïåðåíîñà» ÓÔÍ 167 1095–1106 (1997); DOI: 10.3367/UFNr.0167.199710f.1095

References (50) Cited by (111) ↓ Similar articles (20)

  1. Tóth B International Journal Of Heat And Mass Transfer 238 126456 (2025)
  2. Takhirov J O J Math Sci 284 266 (2024)
  3. Somer A, Galovic S et al International Journal Of Heat And Mass Transfer 223 125233 (2024)
  4. Kartashov E M Rossijskij Tehnologičeskij žurnal 12 80 (2024)
  5. Kovács R Physics Reports 1048 1 (2024)
  6. Sobolev S L Phys. Rev. E 109 (5) (2024)
  7. Zhmakin A I Non-Fourier Heat Conduction Chapter 1 (2023) p. 1
  8. Kartashov E M Rossijskij Tehnologičeskij žurnal 11 106 (2023)
  9. Zhmakin A I Non-Fourier Heat Conduction Chapter 2 (2023) p. 39
  10. Kovács R International Communications In Heat And Mass Transfer 148 107028 (2023)
  11. Galovic S P, Djordjevic K L et al J. Appl. Phys. 133 245701 (2023)
  12. Kartashov E M Math Models Comput Simul 15 S86 (2023)
  13. Kartashov E M Rossijskij Tehnologičeskij žurnal 11 70 (2023)
  14. Kartashov E M High Temp 61 652 (2023)
  15. Zhmakin A I Non-Fourier Heat Conduction Chapter 7 (2023) p. 187
  16. Traytak S D 158 (4) (2023)
  17. Kartashov E M, Kartashov E M Matematicheskoe Modelirovanie 35 14 (2023)
  18. Čukić M, Galovic S Chaos, Solitons & Fractals 172 113584 (2023)
  19. Tóth B International Journal Of Heat And Mass Transfer 217 124663 (2023)
  20. Fehér A, Kovács R IFAC-PapersOnLine 55 87 (2022)
  21. Kovács R, Fehér A, Sobolev S International Journal Of Heat And Mass Transfer 194 123021 (2022)
  22. Muthukunnil J A, Cao B Materials 15 1651 (2022)
  23. Eremin A V, Kishov E A, Popov A I International Communications In Heat And Mass Transfer 138 106346 (2022)
  24. Ivanov M, Brylevskiy V et al 131 (1) (2022)
  25. Shomali Z, Kovács R et al Continuum Mech. Thermodyn. 34 637 (2022)
  26. Formalev V F, Garibyan B A, Kolesnik S A HoBMSTU.SNS (4 (103)) 80 (2022)
  27. Kartashov E M, Polyakov S V KIAM Prepr. (100) 1 (2022)
  28. Bora A, Dai W et al International Journal Of Heat And Mass Transfer 190 122791 (2022)
  29. Wang F, Zhang K, Zheng B Acta Mech. Solida Sin. 35 174 (2022)
  30. Kostrobij P, Tokarchuk M et al 62 (10) (2021)
  31. Morozov A N HoBMSTU.SNS (5 (98)) 60 (2021)
  32. Sobolev S L, Kudinov I V International Journal Of Thermal Sciences 159 106632 (2021)
  33. Sobolev S L Nanoscale And Microscale Thermophysical Engineering 25 153 (2021)
  34. Mikheeva G V, Pashin A V J. Phys.: Conf. Ser. 2094 022023 (2021)
  35. Sobolev S L, Cao B-Ya, Kudinov I V Physica E: Low-dimensional Systems And Nanostructures 128 114610 (2021)
  36. Tovbin Yu K Russ. J. Phys. Chem. 95 637 (2021)
  37. (CENTRAL EUROPEAN SYMPOSIUM ON THERMOPHYSICS 2021 (CEST 2021)) Vol. CENTRAL EUROPEAN SYMPOSIUM ON THERMOPHYSICS 2021 (CEST 2021)Mathematical modeling of local non-equilibrium hydrodynamics in moving liquidsIgor V.KudinovVasiliy K.TkachevAnton V.EreminKonstantin V.Trubitsyn2429 (2021) p. 020019
  38. Morozov A N HoBMSTU.SNS (1 (94)) 47 (2021)
  39. Zhmakin A I Tech. Phys. 66 1 (2021)
  40. Buchbinder G L EPL 133 58003 (2021)
  41. Fehér A, Kovács R International Journal Of Engineering Science 169 103577 (2021)
  42. Sobolev S L, Kudinov I V 45 209 (2020)
  43. Georgievskii D V Chebyshevskii Sbornik 20 134 (2020)
  44. Pavlov S A, Antipov E M et al J Anal Chem 75 975 (2020)
  45. (CENTRAL EUROPEAN SYMPOSIUM ON THERMOPHYSICS 2020 (CEST 2020)) Vol. CENTRAL EUROPEAN SYMPOSIUM ON THERMOPHYSICS 2020 (CEST 2020)Study of the two-temperature heat transfer model in metal nanofilms exposed to ultrashort laser pulsesIgor V.KudinovSergey L.SobolevGalina V.Mikheeva2275 (2020) p. 020015
  46. Urinov A K, Okboev A B Lobachevskii J Math 41 1886 (2020)
  47. Gandolfi M, Giannetti C, Banfi F Phys. Rev. Lett. 125 (26) (2020)
  48. Serdyukov S I, Sizova I A et al Pet. Chem. 59 518 (2019)
  49. Popov V I Theor Found Chem Eng 53 235 (2019)
  50. Zimin B A, Sudenkov Yu V Dokl. Phys. 64 181 (2019)
  51. Popov V I J Eng Phys Thermophy 92 929 (2019)
  52. Umirzakov I H J Therm Anal Calorim 137 1841 (2019)
  53. Vázquez F, López de Haro Mariano, Figueroa A Continuum Mech. Thermodyn. 30 1201 (2018)
  54. Morozov A N Entropy 21 9 (2018)
  55. Kudinov V A, Eremin A V et al Combust Explos Shock Waves 54 649 (2018)
  56. Bulavatsky V M Cybern Syst Anal 54 727 (2018)
  57. Li H-L, Hua Yu-Ch, Cao B-Ya International Journal Of Heat And Mass Transfer 127 1014 (2018)
  58. Sobolev S L Phys. Rev. E 97 (2) (2018)
  59. Kudinov V A, Eremin A V et al Russ. Aeronaut. 61 252 (2018)
  60. Kudinov I V, Kudinov I V Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya «Fiziko-matematicheskie Nauki» 22 116 (2018)
  61. Morozov A N Jetp Lett. 107 798 (2018)
  62. Serdyukov S Entropy 20 802 (2018)
  63. Sobolev S L International Journal Of Heat And Mass Transfer 108 933 (2017)
  64. Tovbin Yu K Russ. J. Phys. Chem. 91 403 (2017)
  65. Bulavatsky V M Cybern Syst Anal 53 204 (2017)
  66. Sobolev S L Physics Letters A 381 2893 (2017)
  67. Bogaenko V A, Bulavatsky V M Dopov. Nac. Akad. Nauk Ukr. (1) 21 (2017)
  68. Kudinov V A, Eremin A V, Kudinov I V Thermophys. Aeromech. 24 901 (2017)
  69. Vysotskii V I, Kornilova A A et al J. Synch. Investig. 11 749 (2017)
  70. Liu W, Saanouni Kh et al 42 (4) (2017)
  71. Sobolev S L J. Exp. Theor. Phys. 124 459 (2017)
  72. Sobolev S L International Journal Of Heat And Mass Transfer 94 138 (2016)
  73. Eremin A V, Kudinov V A, Kudinov I V Fluid Dyn 51 33 (2016)
  74. Sobolev S L Acta Materialia 116 212 (2016)
  75. Kharchenko D O, Kharchenko V O Radiation Effects And Defects In Solids 171 819 (2016)
  76. Meilanov R P, Shabanova M R, Akhmedov E N Chaos, Solitons & Fractals 75 29 (2015)
  77. Sobolev S L Acta Materialia 93 256 (2015)
  78. Kudinov I V, Kudinov V A J Eng Phys Thermophy 88 406 (2015)
  79. Gula I A, Samsonov A M 31 714 (2015)
  80. Popov V I J Eng Phys Thermophy 88 266 (2015)
  81. Sobolev S L Materials Science And Technology 31 1607 (2015)
  82. Sobolev S L International Journal Of Heat And Mass Transfer 71 295 (2014)
  83. Bulavatsky V M Cybern Syst Anal 50 81 (2014)
  84. Meilanov R P, Magomedov R A J Eng Phys Thermophy 87 1521 (2014)
  85. Gula I A, Samsonov A M Proceedings of the International Conference Days on Diffraction 2013, (2013) p. 72
  86. Rukolaine S A, Samsonov A M Proceedings of the International Conference Days on Diffraction 2013, (2013) p. 125
  87. Rukolaine S A, Samsonov A M Phys. Rev. E 88 (6) (2013)
  88. Serdyukov S I Theor Found Chem Eng 47 89 (2013)
  89. Selivanova N Yu, Shamolin M V J Math Sci 189 274 (2013)
  90. Uchaikin V V Fractional Derivatives for Physicists and Engineers Nonlinear Physical Science Chapter 1 (2013) p. 3
  91. Yakunkin M M Inorg. Mater. Appl. Res. 3 69 (2012)
  92. Popov V I J Appl Mech Tech Phy 53 880 (2012)
  93. Bulavatsky V M Cybern Syst Anal 48 861 (2012)
  94. Buchbinder G L, Volkov V A Physica A: Statistical Mechanics And Its Applications 391 5935 (2012)
  95. Meilanov R P, Shabanova M R Tech. Phys. 56 903 (2011)
  96. Malyshkina O V Phys. Solid State 52 756 (2010)
  97. Malyshkina O V, Movchikova A A et al Ferroelectrics 400 63 (2010)
  98. Indeitsev D A, Naumov V N et al Z Angew Math Mech 89 279 (2009)
  99. Sidorova E A, Vershinin G A et al J. Synch. Investig. 2 305 (2008)
  100. Stratilatova E N J Math Sci 145 5303 (2007)
  101. Mészáros C, Bálint Á et al Drying Technology 25 1297 (2007)
  102. Indeitsev D A, Naumov V N, Semenov B N Mech. Solids 42 672 (2007)
  103. Nakhusheva V A, Nakhusheva V A Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-matematicheskie Nauki 42 11 (2006)
  104. Alekseev B V Uspekhi Fizicheskikh Nauk 173 145 (2003)
  105. Buchbinder G L International Journal Of Heat And Mass Transfer 46 1665 (2003)
  106. Uchaikin V V, Saenko V V Tech. Phys. 46 139 (2001)
  107. Carballo S A F, González de la Cruz G et al Phys. Rev. B 59 10630 (1999)
  108. Noyola A P-G 24 (2) (1999)
  109. Zol’nikov K P, Kadyrov R I et al Tech. Phys. Lett. 25 230 (1999)
  110. Dinariyev O Yu Journal Of Applied Mathematics And Mechanics 63 569 (1999)
  111. Jou D, Casas-Vázquez J, Lebon G 23 (3) (1998)

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