Thermostatistics based on Kolmogorov-Nagumo averages: Unifying framework for extensive and nonextensive generalizations
Statistical Mechanics
2015-06-24 v1 Quantum Physics
Abstract
We show that extensive thermostatistics based on Renyi entropy and Kolmogorov-Nagumo averages can be expressed in terms of Tsallis non- extensive thermostatistics. We use this correspondence to generalize thermostatistics to a large class of Kolmogorov-Nagumo means and suitably adapted definitions of entropy.
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Cite
@article{arxiv.cond-mat/0106324,
title = {Thermostatistics based on Kolmogorov-Nagumo averages: Unifying framework for extensive and nonextensive generalizations},
author = {Jan Naudts and Marek Czachor},
journal= {arXiv preprint arXiv:cond-mat/0106324},
year = {2015}
}
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4 pages revtex