The superdiffusion entropy production paradox in the space-fractional case for extended entropies

被引：23

作者：

Prehl, J. ^{[1
]}

Essex, C. ^{[2
]}

Hoffmann, K. H. ^{[1
]}

机构：

[1] Tech Univ Chemnitz, Inst Phys, D-09107 Chemnitz, Germany

[2] Univ Western Ontario, Dept Appl Math, London, ON N6A 5B7, Canada

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2010年 / 389卷 / 02期

关键词：

Fractional diffusion equation; Irreversible processes; Entropy production; Renyi entropy; Tsallis entropy; DIFFUSION; TSALLIS;

D O I：

10.1016/j.physa.2009.09.009

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Contrary to intuition, entropy production rates grow as reversible, wave-like behavior is approached. This paradox was discovered in time-fractional diffusion equations. it was found to persist for extended entropies and for space-fractional diffusion as well. This paper completes the possibilities by showing that the paradox persists for Tsallis and Renyi entropies in the space-fractional case. Complications arising due to the heavy tail solutions of space-fractional diffusion equations are discussed in detail. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：215 / 224

页数：10

共 5 条

[1] The entropy production paradox for fractional diffusion
Hoffmann, Karl Heinz
Essex, Christopher
Prehl, Janett
Kulmus, Kathrin
[J]. JOURNAL OF NON-EQUILIBRIUM THERMODYNAMICS, 2023, 48 (02) : 137 - 148
[2] NUMERICAL METHOD FOR SYSTEM OF SPACE-FRACTIONAL EQUATIONS OF SUPERDIFFUSION TYPE WITH DELAY AND NEUMANN BOUNDARY CONDITIONS
Ibrahim, M.
Pimenov, V. G.
[J]. IZVESTIYA INSTITUTA MATEMATIKI I INFORMATIKI-UDMURTSKOGO GOSUDARSTVENNOGO UNIVERSITETA, 2022, 59 : 41 - 54
[3] Tsallis and Renyi entropies in fractional diffusion and entropy production
Essex, C
Schulzky, C
Franz, A
Hoffmann, KH
[J]. PHYSICA A, 2000, 284 (1-4): : 299 - 308
[4] The entropy production paradox for fractional master equations
Kulmus, Kathrin
Essex, Christopher
Prehl, Janett
Hoffmann, Karl Heinz
[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 525 : 1370 - 1378
[5] Qualitative analysis and new exact solutions for the extended space-fractional stochastic (3+1)-dimensional Zakharov-Kuznetsov equation
Elbrolosy, Mamdouh
[J]. PHYSICA SCRIPTA, 2024, 99 (07)

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