Volume 57, Number 3, February 2002
|Page(s)||329 - 333|
|Published online||01 September 2002|
Non-additivity of Tsallis entropies and fluctuations of temperature
Isaac Newton Institute for Mathematical Sciences, University of
Cambridge 20 Clarkson Road, Cambridge CB3 0EH, UK
Accepted: 12 November 2001
We show that the nonadditivity relation of the Tsallis entropies in nonextensive statistical mechanics has a simple physical interpretation for systems with fluctuating temperature or fluctuating energy dissipation rate. We also show that there is a distinguished dependence of the entropic index q on the spatial scale that makes the Tsallis entropies quasi-additive. Quasi-additivity implies that q is a strictly monotonously decreasing function of the spatial scale r, as indeed observed in various experiments.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.70.-a – Thermodynamics
© EDP Sciences, 2002
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