Phys. Rev. E 65, 036128 (2002) - Duality in nonextensive statistical mechanics

Duality in nonextensive statistical mechanics

Iliya V. Karlin, Miroslav Grmela, and Alexander N. Gorban

Phys. Rev. E 65, 036128 – Published 27 February 2002

Abstract

We revisit recent derivations of kinetic equations based on Tsallis’ entropy concept. The method of kinetic functions is introduced as a standard tool for extensions of classical kinetic equations in the framework of Tsallis’ statistical mechanics. Our analysis of the Boltzmann equation demonstrates a remarkable relation between thermodynamics and kinetics caused by the deformation of macroscopic observables.

Received 19 October 2001

DOI:https://doi.org/10.1103/PhysRevE.65.036128

©2002 American Physical Society

Authors & Affiliations

Iliya V. Karlin^*

ETH Zürich, Department of Materials, Institute of Polymers, ETH-Zentrum, Sonneggstrasse 3, ML J 19, CH-8092 Zürich, Switzerland

Miroslav Grmela

École Politechnique de Montréal, H3C 3A7 Montréal (Québec), Canada

Alexander N. Gorban

Institute of Computational Modeling RAS, 660036 Krasnoyarsk, Russia

^*Author to whom correspondence should be addressed. Email address: ikarlin@ifp.mat.ethz.ch

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Issue

Vol. 65, Iss. 3 — March 2002

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