On Tsallis nonequilibrium entropy evolution
Xing Xiu-San
TL;DR
This paper derives a 6N dimensional evolution equation for Tsallis non-equilibrium entropy and discusses the conditions under which entropy production follows the law of entropy increase.
Contribution
It introduces a new evolution equation for Tsallis entropy and clarifies the conditions for entropy increase based on the entropy index q.
Findings
Entropy production law holds for q>0
Derived a 6N dimensional evolution equation
Law of entropy increase does not hold for q≤0
Abstract
In this paper we derived a 6N dimensional non-homogeneous evolution equation of Tsallis non-equilibrium entropy; presented a formula for entropy production rate (i.e. the law of entropy increase) for Tsallis entropy only when its index q>0, otherwise the law of entropy increase does not hold when q<0 or q=0.
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Taxonomy
TopicsStatistical Mechanics and Entropy · Advanced Thermodynamics and Statistical Mechanics · Complex Systems and Time Series Analysis