Non-additivity of Tsallis entropies and fluctuations of temperature

Details Non-additivity of Tsallis entropies and fluctuations of temperature Non-additivity of Tsallis entropies and fluctuations of temperature

2001-05-18

arxiv.org/abs/cond-mat/0105371v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, no figures

Scientific paper

10.1209/epl/i2002-00464-8

We show that the non-additivity 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.

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