Generalized diffusion equation with fractional derivatives within Renyi statistics

被引：9

作者：

Kostrobij, P. ^{[1
]}

Markovych, B. ^{[1
]}

Viznovych, O. ^{[1
]}

Tokarchuk, M. ^{[1
,2
]}

机构：

[1] Lviv Polytech Natl Univ, 12 Bandera St, UA-79013 Lvov, Ukraine

[2] NAS Ukraine, Inst Condensed Matter Phys, 1 Svientsitskii St, UA-79011 Lvov, Ukraine

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2016年 / 57卷 / 09期

关键词：

ANOMALOUS DIFFUSION; LIOUVILLE EQUATIONS; KINETIC-EQUATIONS; MASTER EQUATION; FRACTAL MEDIA; RANDOM-WALKS; TRANSPORT; DYNAMICS; MEMORY; DISSIPATION;

D O I：

10.1063/1.4962159

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. Published by AIP Publishing.

引用

页数：8

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