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arXiv · 1401.0980

Almost additive entropy

Nikos Kalogeropoulos
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Abstract

We explore consequences of a hyperbolic metric induced by the composition property of the Harvda-Charvat/Dar\'{o}czy/Cressie-Read/Tsallis entropy. We address the special case of systems described by small deviations of the non-extensive parameter \ $q\approx 1$ \ from the "ordinary" additive case which is described by the Boltzmann/Gibbs/Shannon entropy. By applying the Gromov/Ruh theorem for almost flat manifolds, we show that such systems have a power-law rate of expansion of their configuration/phase space volume. We explore the possible physical significance of some geometric and topological results of this approach.

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Nikos Kalogeropoulos. 2014-01-06. Almost additive entropy. https://arxiv.org/abs/1401.0980

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