title: Duality in nonextensive statistical mechanics.
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.
authors.affiliation: ETH Zürich, Department of Materials, Institute of Polymers, ETH-Zentrum, Sonneggstrasse 3, ML J 19, CH-8092 Zürich, Switzerland. ikarlin@ifp.mat.ethz.ch
authors.forename: Iliya V
authors.initials: IV
authors.lastname: Karlin
authors.forename: Miroslav
authors.initials: M
authors.lastname: Grmela
authors.forename: Alexander N
authors.initials: AN
authors.lastname: Gorban