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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2007, Volume 86, Issue 8, Pages 580–583
(Mi jetpl888)
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This article is cited in 13 scientific papers (total in 13 papers)
PLASMA, GASES
Generalized Fick law for anomalous diffusion in the multidimensional comb model
V. E. Arkhincheev Buryat Scientific Centre of Siberian Branch of the Russian Academy of Sciences
Abstract:
The problem of multidimensional diffusion is considered within the framework of the comb model. It is shown that the diffusion current for the case of anomalous subdiffusion random walks is described by the generalized Fick law containing the diffusion tensor instead of the usual coefficient. The form of the diffusion tensor components is an unusual form of operator as fractional time derivatives. The orders of the fractional exponents are different for different directions.
Received: 16.08.2007
Citation:
V. E. Arkhincheev, “Generalized Fick law for anomalous diffusion in the multidimensional comb model”, Pis'ma v Zh. Èksper. Teoret. Fiz., 86:8 (2007), 580–583; JETP Letters, 86:8 (2007), 508–511
Linking options:
https://www.mathnet.ru/eng/jetpl888 https://www.mathnet.ru/eng/jetpl/v86/i8/p580
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