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Nonclassical transport in highly heterogeneous and sharply contrasting media

 a, b,  a, b,  a, b
a Nuclear Safety Institute, Russian Academy of Sciences, ul. Bolshaya Tulskaya 52, Moscow, 115191, Russian Federation
b Moscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141701, Russian Federation

The physical models of nonclassical transport processes in highly heterogeneous media with different types of spatial distribution of characteristics are reviewed. The transport in a regularly heterogeneous, fractal and statistically homogeneous sharply contrasting, as well as in liquid media under the condition of Rayleigh—Benard convection is considered. The behavior of the impurity concentration in the main localization region and at asymptotically large distances from the source is analyzed. The effect on the transport regimes arising due to the presence of colloids, as well as the barriers surrounding the impurity source, is investigated. An asymptotic approach to the calculation of the concentration in a medium with large-scale heterogeneities in the distribution of transport characteristics is presented.

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Fulltext is also available at DOI: 10.3367/UFNe.2018.08.038423
Keywords: The physical models of nonclassical transport processes in highly heterogeneous media with different types of spatial distribution of characteristics are reviewed. The transport in a regularly heterogeneous, fractal and statistically homogeneous sharply contrasting, as well as in liquid media under the condition of Rayleigh€--€Benard convection is considered. The behavior of the impurity concentration in the main localization region and at asymptotically large distances from the source is analyzed. The effect on the transport regimes arising due to the presence of colloids, as well as the barriers surrounding the impurity source, is investigated. An asymptotic approach to the calculation of the concentration in a medium with large-scale heterogeneities in the distribution of transport characteristics is presented.
PACS: 005.60.Cd, 66.10.C−
DOI: 10.3367/UFNe.2018.08.038423
URL: https://ufn.ru/en/articles/2019/7/b/
000492057500002
2-s2.0-85076764312
2019PhyU...62..649B
Citation: Bol’shov L A, Kondratenko P S, Matveev L V "Nonclassical transport in highly heterogeneous and sharply contrasting media" Phys. Usp. 62 649–659 (2019)
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Received: 10th, May 2018, revised: 13th, August 2018, 31st, August 2018

Оригинал: Большов Л А, Кондратенко П С, Матвеев Л В «Неклассический перенос в сильнонеоднородных и резко контрастных средах» УФН 189 691–702 (2019); DOI: 10.3367/UFNr.2018.08.038423

References (74) ↓ Cited by (7) Similar articles (20)

  1. Dreizin Yu A, Dykhne A M Zh. Eksp. Teor. Fiz. 63 242 (1973); Dreizin Yu A, Dykhne A M Sov. Phys. JETP 36 127 (1973)
  2. Bakunin O G Usp. Fiz. Nauk 185 271 (2015); Bakunin O G Phys. Usp. 58 252 (2015)
  3. Gu Q et al Phys. Rev. Lett. 76 3196 (1996)
  4. Sher H, Lax M Phys. Rev. B 7 4491 (1973)
  5. Zelenyi L M, Milovanov A V Usp. Fiz. Nauk 174 809 (2004); Zelenyi L M, Milovanov A V Phys. Usp. 47 749 (2004)
  6. Weiss M, Hashimoto H, Nilsson T Biophys. J. 84 4043 (2003)
  7. Banks D S, Fradin S Biophys. J. 89 2960 (2005)
  8. Neuman S P Water Resources Res. 26 1749 (1990)
  9. Sahimi M Phys. Rep. 306 213 (1998)
  10. Bouchaud J-P, Georges A Phys. Rep. 195 127 (1990)
  11. Bolshov L, Kondratenko P, Pruess K, Semenov V Vadose Zone J. 7 1135 (2008)
  12. Khintchine A, Lévy P CR Acad. Sci. Paris 202 374 (1936)
  13. Montroll E W, Weiss G J. Math. Phys. 6 167 (1965)
  14. Metzler R, Klafter J Phys. Rep. 339 1 (2000)
  15. Sahimi M Phys. Rev. E 85 016316 (2012)
  16. Monin A S Dokl. Akad. Nauk SSSR 105 256 (1955)
  17. Balakrishnan V Physica A 132 569 (1985)
  18. Wyss W J. Math. Phys. 27 2782 (1986)
  19. Schneider W R, Wyss W J. Math. Phys. 30 134 (1989)
  20. Compte A Phys. Rev. E 53 4191 (1966)
  21. Chukbar K V Zh. Eksp. Teor. Fiz. 108 1875 (1995); Chukbar K V JETP 81 1025 (1995)
  22. Uchaikin V V Usp. Fiz. Nauk 173 847 (2003); Uchaikin V V Phys. Usp. 46 821 (2003)
  23. Fisher D S Phys. Rev. A 30 960 (1984)
  24. Dykhne A M, Napartovich A P "Perenos rezonansnogo izlucheniya v neodnorodnoi plazme" Preprint (M.: IAE, 1970)
  25. Gevorkian Z S, Lozovik Y E J. Phys. A 20 L659 (1987)
  26. Kravtsov V E, Lerner I V, Yudson V I Zh. Eksp. Teor. Fiz. 91 569 (1986); Kravtsov V E, Lerner I V, Yudson V I Sov. Phys. JETP 64 336 (1986)
  27. Deem M W Phys. Rev. E 51 4319 (1995)
  28. Shkilev V P Zh. Eksp. Teor. Fiz. 128 655 (2005); Shkilev V P JETP 101 562 (2005)
  29. Lutsko J F, Boon J P Phys. Rev. E 77 051103 (2008)
  30. Lutsko J F, Boon J P Phys. Rev. E 88 022108 (2013)
  31. Calvo I, Sánchez R J. Phys. A 41 282002 (2008)
  32. Klyatskin V I Dinamika Stokhasticheskikh Sistem (M.: Fizmatlit, 2002)
  33. Klyatskin V I Stokhasticheskie Uravneniya Glazami Fizika (M.: Fizmatlit, 2001)
  34. Matheron G, De Marsily G Water Resour. Res. 16 901 (1980)
  35. Barenblatt G I, Zheltov Yu P, Kochina I N Priklad. Matem. Mekh. 24 852 (1960); Barenblatt G I, Zheltov Iu P, Kochina I N J. Appl. Math. Mekh. 24 1286 (1960)
  36. Dykhne A M et al J. Hydraulic Res. 43 213 (2005)
  37. Dvoretskaya O A, Kondratenko P S, Matveev L V Zh. Eksp. Teor. Fiz. 137 67 (2010); Dvoretskaya O A, Kondratenko P S, Matveev L V JETP 110 58 (2010)
  38. Chukbar K V Zh. Eksp. Teor. Fiz. 109 1335 (1996); Chukbar K V JETP 82 719 (1996)
  39. Kondratenko P S, Matveev L V Zh. Eksp. Teor. Fiz. 131 494 (2007); Kondratenko P S, Matveev L V JETP 104 445 (2007)
  40. Dykhne A et al Vadose Zone J. 7 1145 (2008)
  41. Shklovskii B I, Efros A L Usp. Fiz. Nauk 117 401 (1975); Shklovskii B I, Efros A L Sov. Phys. Usp. 18 845 (1975)
  42. Isichenko M B Rev. Mod. Phys. 64 961 (1992)
  43. Bonnet E et al Rev. Geophys. 39 347 (2001)
  44. Patashinskii A Z, Pokrovskii V L Fluktuatsionnaya Teoriya Fazovykh Perekhodov (M.: Nauka, 1975); Per. na angl. yaz., Patashinskii A Z, Pokrovskii V L Fluctuation Theory Of Phase Transitions (Oxford: Pergamon Press, 1979)
  45. Ma Sh Modern Ma Sh Modern Theory Of Critical Phenomena (Reading, Mass.: W.A. Benjamin, 1976); Per. na angl. yaz., Ma Sh Sovremennaya Teoriya Kriticheskikh Yavlenii (M.: Mir, 1980)
  46. Dykhne A M, Dranikov I L, Kondratenko P S, Matveev L V Phys. Rev. E 72 061104 (2005)
  47. Dranikov I L, Kondratenko P S, Matveev L V Zh. Eksp. Teor. Fiz. 125 1082 (2004); Dranikov I L, Kondratenko P S, Matveev L V JETP 98 945 (2004)
  48. Koch D L, Brady J F Phys. Fluids 31 965 (1988)
  49. Koch D L, Brady J F Phys. Fluids 1 47 (1989)
  50. Kondratenko P S, Matveev L V Phys. Rev. E 75 051102 (2007)
  51. Guyer R A Phys. Rev. B 34 7816 (1986)
  52. Obukhov S P Physica A 101 145 (1980)
  53. Cardy J L, Sugar R L J. Phys. A 423 (1980)
  54. Frey E, Täuber U C, Schwabl F Phys. Rev. E 49 5058 (1994)
  55. Kondratenko P S, Matveev L V Phys. Rev. E 83 021106 (2011)
  56. Dykhne A M, Kondratenko P S, Matveev L V Pis’ma ZhETF 80 464 (2004); Dykhne A M, Kondratenko P S, Matveev L V JETP Lett. 98 945 (2004)
  57. Matveev L V Zh. Eksp. Teor. Fiz. 145 754 (2014); Matveev L V JETP 118 662 (2014)
  58. Bolshov L, Kondratenko P, Matveev L, Pruess K Vadose Zone J. 7 1152 (2008)
  59. Becker M W, Shapiro A M Water Resour. Res. 36 1677 (2000)
  60. Gerke H H, van Genuchten M T Water Resour. Res. 29 305 (1993)
  61. Matveev L V Zh. Eksp. Teor. Fiz. 142 943 (2012); Matveev L V JETP 115 829 (2012)
  62. Matveev L V Physica A 406 119 (2014)
  63. Rumynin V G Geomigratsionnye Modeli v Gidrogeologii (SPb.: Nauka, 2011)
  64. Matveev L V Zh. Eksp. Teor. Fiz. 135 1200 (2009); Matveev L V JETP 108 1044 (2009)
  65. Bolshov L A, Kondratenko P S, Matveev L V Phys. Rev. E 84 041140 (2011)
  66. Kutsepalov V A, Matveev L V Chaos Solitons Fractals 81 480 (2015)
  67. Matveev L V Int. J. Heat Mass Transfer 95 15 (2016)
  68. Solomon T H, Gollub J P Phys. Rev. 38 6280 (1988)
  69. Gebhart B et al Buoyancy-induced Flows And Transport (Washington, D.C.: Hemisphere Publ. Corp., 1988); Per. na russk. yaz., Gebkhart B i dr Svobodnokonvektivnye Techeniya, Teplo- i Massoobmen Vol. 1, 2 (M.: Mir, 1991)
  70. Dvoretskaya O A, Kondratenko P S Zh. Eksp. Teor. Fiz. 143 799 (2013); Dvoretskaya O A, Kondratenko P S JETP 116 698 (2013)
  71. Kondratenko P S, Leonov K V Zh. Eksp. Teor. Fiz. 152 398 (2017); Kondratenko P S, Leonov K V JETP 125 340 (2017)
  72. Kondratenko P S Pis’ma ZhETF 106 581 (2017); Kondratenko P S JETP Lett. 106 604 (2017)
  73. Landau L D, Lifshits E M Elektrodinamika Sploshnykh Sred (M.: Fizmatlit, 2005); Per. na angl. yaz., Landau L D, Lifshitz E M Electrodynamics Of Continuous Media (Oxford: Butterworth-Heinemann, 2004)
  74. Landau L D, Lifshits E M Kvantovaya Mekhanika: Nerelyativistskaya Teoriya (M.: Fizmatlit, 2004); Per. na angl. yaz., Landau L D, Lifshitz E M Quantum Mechanics. Non-Relativistic Theory (Oxford: Butterworth-Heinemann, 2004)
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