Thermostatistics based on Kolmogorov-Nagumo averages: Unifying framework for extensive and nonextensive generalizations

Details Thermostatistics based on Kolmogorov-Nagumo averages: Unifying framework for extensive and nonextensive generalizations Thermostatistics based on Kolmogorov-Nagumo averages: Unifying framework for extensive and nonextensive generalizations

2001-06-17

arxiv.org/abs/cond-mat/0106324v1

Phys. Lett. A298 (2002) 369-374

Physics

Condensed Matter

Statistical Mechanics

4 pages revtex

Scientific paper

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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