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 (116) ↓ Similar articles (20)

  1. Aristov V V, Zabelok S A, Frolova A A Uspekhi Fizicheskikh Nauk 195 276 (2025)
  2. Sobolev S, Kudinov I Waves In Random And Complex Media 1 (2025)
  3. Galovic S, Čukić M, Chevizovich D Membranes 15 11 (2025)
  4. Tóth B International Journal Of Heat And Mass Transfer 238 126456 (2025)
  5. Pal S, Melnik R Physics Of Life Reviews 53 24 (2025)
  6. Kartashov E M Rossijskij Tehnologičeskij žurnal 12 80 (2024)
  7. Somer A, Galovic S et al International Journal Of Heat And Mass Transfer 223 125233 (2024)
  8. Takhirov J O J Math Sci 284 266 (2024)
  9. Sobolev S L Phys. Rev. E 109 (5) (2024)
  10. Kovács R Physics Reports 1048 1 (2024)
  11. Kudinov I V, Trubitsyn K V et al Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya «Fiziko-matematicheskie Nauki» 28 773 (2024)
  12. Bogaєnko V O, Bulavats’kii V M Dopov. Nac. Akad. Nauk Ukr. (1) 21 (2024)
  13. Zhmakin A I Non-Fourier Heat Conduction Chapter 2 (2023) p. 39
  14. Kartashov E M Rossijskij Tehnologičeskij žurnal 11 70 (2023)
  15. Tóth B International Journal Of Heat And Mass Transfer 217 124663 (2023)
  16. Zhmakin A I Non-Fourier Heat Conduction Chapter 1 (2023) p. 1
  17. Kovács R International Communications In Heat And Mass Transfer 148 107028 (2023)
  18. Zhmakin A I Non-Fourier Heat Conduction Chapter 7 (2023) p. 187
  19. Traytak S D 158 (4) (2023)
  20. Kartashov E M Rossijskij Tehnologičeskij žurnal 11 106 (2023)
  21. Kartashov E M Math Models Comput Simul 15 S86 (2023)
  22. Galovic S P, Djordjevic K L et al J. Appl. Phys. 133 245701 (2023)
  23. Čukić M, Galovic S Chaos, Solitons & Fractals 172 113584 (2023)
  24. Kartashov E M, Kartashov E M Matematicheskoe Modelirovanie 35 14 (2023)
  25. Kartashov E M High Temp 61 652 (2023)
  26. Fehér A, Kovács R IFAC-PapersOnLine 55 87 (2022)
  27. Formalev V F, Garibyan B A, Kolesnik S A HoBMSTU.SNS (4 (103)) 80 (2022)
  28. Wang F, Zhang K, Zheng B Acta Mech. Solida Sin. 35 174 (2022)
  29. Ivanov M, Brylevskiy V et al 131 (1) (2022)
  30. Kartashov E M, Polyakov S V KIAM Prepr. (100) 1 (2022)
  31. Shomali Z, Kovács R et al Continuum Mech. Thermodyn. 34 637 (2022)
  32. Kovács R, Fehér A, Sobolev S International Journal Of Heat And Mass Transfer 194 123021 (2022)
  33. Eremin A V, Kishov E A, Popov A I International Communications In Heat And Mass Transfer 138 106346 (2022)
  34. Bora A, Dai W et al International Journal Of Heat And Mass Transfer 190 122791 (2022)
  35. Muthukunnil J A, Cao B Materials 15 1651 (2022)
  36. Tovbin Yu K Russ. J. Phys. Chem. 95 637 (2021)
  37. Sobolev S L, Cao B-Ya, Kudinov I V Physica E: Low-dimensional Systems And Nanostructures 128 114610 (2021)
  38. Morozov A N HoBMSTU.SNS (5 (98)) 60 (2021)
  39. Kostrobij P, Tokarchuk M et al 62 (10) (2021)
  40. Sobolev S L, Kudinov I V International Journal Of Thermal Sciences 159 106632 (2021)
  41. (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
  42. Buchbinder G L EPL 133 58003 (2021)
  43. Zhmakin A I Tech. Phys. 66 1 (2021)
  44. Fehér A, Kovács R International Journal Of Engineering Science 169 103577 (2021)
  45. Morozov A N HoBMSTU.SNS (1 (94)) 47 (2021)
  46. Sobolev S L Nanoscale And Microscale Thermophysical Engineering 25 153 (2021)
  47. Mikheeva G V, Pashin A V J. Phys.: Conf. Ser. 2094 022023 (2021)
  48. Pavlov S A, Antipov E M et al J Anal Chem 75 975 (2020)
  49. (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
  50. Gandolfi M, Giannetti C, Banfi F Phys. Rev. Lett. 125 (26) (2020)
  51. Sobolev S L, Kudinov I V 45 209 (2020)
  52. Georgievskii D V Chebyshevskii Sbornik 20 134 (2020)
  53. Urinov A K, Okboev A B Lobachevskii J Math 41 1886 (2020)
  54. Popov V I J Eng Phys Thermophy 92 929 (2019)
  55. Umirzakov I H J Therm Anal Calorim 137 1841 (2019)
  56. Popov V I Theor Found Chem Eng 53 235 (2019)
  57. Zimin B A, Sudenkov Yu V Dokl. Phys. 64 181 (2019)
  58. Serdyukov S I, Sizova I A et al Pet. Chem. 59 518 (2019)
  59. Bulavatsky V M Cybern Syst Anal 54 727 (2018)
  60. Sobolev S L Phys. Rev. E 97 (2) (2018)
  61. Vázquez F, López de Haro Mariano, Figueroa A Continuum Mech. Thermodyn. 30 1201 (2018)
  62. Kudinov V A, Eremin A V et al Combust Explos Shock Waves 54 649 (2018)
  63. Kudinov V A, Eremin A V et al Russ. Aeronaut. 61 252 (2018)
  64. Kudinov I V, Kudinov I V Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya «Fiziko-matematicheskie Nauki» 22 116 (2018)
  65. Morozov A N Entropy 21 9 (2018)
  66. Li H-L, Hua Yu-Ch, Cao B-Ya International Journal Of Heat And Mass Transfer 127 1014 (2018)
  67. Morozov A N Jetp Lett. 107 798 (2018)
  68. Serdyukov S Entropy 20 802 (2018)
  69. Sobolev S L International Journal Of Heat And Mass Transfer 108 933 (2017)
  70. Vysotskii V I, Kornilova A A et al J. Synch. Investig. 11 749 (2017)
  71. Liu W, Saanouni Kh et al 42 (4) (2017)
  72. Bulavatsky V M Cybern Syst Anal 53 204 (2017)
  73. Sobolev S L J. Exp. Theor. Phys. 124 459 (2017)
  74. Tovbin Yu K Russ. J. Phys. Chem. 91 403 (2017)
  75. Sobolev S L Physics Letters A 381 2893 (2017)
  76. Kudinov V A, Eremin A V, Kudinov I V Thermophys. Aeromech. 24 901 (2017)
  77. Eremin A V, Kudinov V A, Kudinov I V Fluid Dyn 51 33 (2016)
  78. Kharchenko D O, Kharchenko V O Radiation Effects And Defects In Solids 171 819 (2016)
  79. Sobolev S L Acta Materialia 116 212 (2016)
  80. Sobolev S L International Journal Of Heat And Mass Transfer 94 138 (2016)
  81. Gula I A, Samsonov A M 31 714 (2015)
  82. Sobolev S L Materials Science And Technology 31 1607 (2015)
  83. Popov V I J Eng Phys Thermophy 88 266 (2015)
  84. Meilanov R P, Shabanova M R, Akhmedov E N Chaos, Solitons & Fractals 75 29 (2015)
  85. Sobolev S L Acta Materialia 93 256 (2015)
  86. Kudinov I V, Kudinov V A J Eng Phys Thermophy 88 406 (2015)
  87. Bulavatsky V M Cybern Syst Anal 50 81 (2014)
  88. Sobolev S L International Journal Of Heat And Mass Transfer 71 295 (2014)
  89. Meilanov R P, Magomedov R A J Eng Phys Thermophy 87 1521 (2014)
  90. Serdyukov S I Theor Found Chem Eng 47 89 (2013)
  91. Uchaikin V V Fractional Derivatives for Physicists and Engineers Nonlinear Physical Science Chapter 1 (2013) p. 3
  92. Gula I A, Samsonov A M Proceedings of the International Conference Days on Diffraction 2013, (2013) p. 72
  93. Rukolaine S A, Samsonov A M Proceedings of the International Conference Days on Diffraction 2013, (2013) p. 125
  94. Rukolaine S A, Samsonov A M Phys. Rev. E 88 (6) (2013)
  95. Selivanova N Yu, Shamolin M V J Math Sci 189 274 (2013)
  96. Popov V I J Appl Mech Tech Phy 53 880 (2012)
  97. Bulavatsky V M Cybern Syst Anal 48 861 (2012)
  98. Buchbinder G L, Volkov V A Physica A: Statistical Mechanics And Its Applications 391 5935 (2012)
  99. Yakunkin M M Inorg. Mater. Appl. Res. 3 69 (2012)
  100. Meilanov R P, Shabanova M R Tech. Phys. 56 903 (2011)
  101. Malyshkina O V Phys. Solid State 52 756 (2010)
  102. Malyshkina O V, Movchikova A A et al Ferroelectrics 400 63 (2010)
  103. Indeitsev D A, Naumov V N et al Z Angew Math Mech 89 279 (2009)
  104. Sidorova E A, Vershinin G A et al J. Synch. Investig. 2 305 (2008)
  105. Stratilatova E N J Math Sci 145 5303 (2007)
  106. Mészáros C, Bálint Á et al Drying Technology 25 1297 (2007)
  107. Indeitsev D A, Naumov V N, Semenov B N Mech. Solids 42 672 (2007)
  108. Nakhusheva V A, Nakhusheva V A Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-matematicheskie Nauki 42 11 (2006)
  109. Alekseev B V Uspekhi Fizicheskikh Nauk 173 145 (2003)
  110. Buchbinder G L International Journal Of Heat And Mass Transfer 46 1665 (2003)
  111. Uchaikin V V, Saenko V V Tech. Phys. 46 139 (2001)
  112. Carballo S A F, González de la Cruz G et al Phys. Rev. B 59 10630 (1999)
  113. Noyola A P-G 24 (2) (1999)
  114. Zol’nikov K P, Kadyrov R I et al Tech. Phys. Lett. 25 230 (1999)
  115. Dinariyev O Yu Journal Of Applied Mathematics And Mechanics 63 569 (1999)
  116. Jou D, Casas-Vázquez J, Lebon G 23 (3) (1998)

© 1918–2025 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions