Generalized diffusion equation with fractional derivatives within Renyi statistics

Generalized diffusion equation with fractional derivatives within Renyi statistics

By using the Zubarev nonequilibrium statistical operator method, and the Liouville equation with fractional derivatives, a generalized diffusion equation with fractional derivatives is obtained within the Renyi statistics. Averaging in generalized diffusion coefficient is performed with a power dist...

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Veröffentlicht in:Journal of mathematical physics 2016-09, Vol.57 (9), p.1
Hauptverfasser: Kostrobij, P., Markovych, B., Viznovych, O., Tokarchuk, M.
Format: Artikel
Sprache:eng
Schlagworte:
Derivatives
Diffusion
Diffusion coefficient
Electric power distribution
Entropy
Fractions
Liouville equations
Partial differential equations
Physics
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Zusammenfassung:By using the Zubarev nonequilibrium statistical operator method, and the Liouville equation with fractional derivatives, a generalized diffusion equation with fractional derivatives is obtained within the Renyi statistics. Averaging in generalized diffusion coefficient is performed with a power distribution with the Renyi parameter q.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4962159