Non-additivity of Tsallis entropies and fluctuations of temperature
- 1 February 2002
- journal article
- Published by IOP Publishing in Europhysics Letters
- Vol. 57 (3) , 329-333
- https://doi.org/10.1209/epl/i2002-00464-8
Abstract
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.Keywords
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