On the statistical interpretation of generalized entropies

Annibal Figueiredo, Marco Antônio Amato and Tarcísio Marciano da Rocha Filho

Physica A: Statistical Mechanics and its Applications, 2006, vol. 367, issue C, 191-206

Abstract: We present a direct generalization of the Boltzmann counting method to define a generic form for a generalized entropy. This form is based on the probabilities of sequences of a stochastic process. Usual forms of generalized entropy can be rewritten in our approach, and then be reinterpreted on a statistical basis. We also discuss the meaning of temperature and the zeroth-law of thermodynamics. Renyi and Tsallis entropies are used to illustrate our approach. Monte Carlo simulations of the corresponding stochastic processes are performed and the results corroborate the approach.

Keywords: Generalized entropy; Zeroth law; Stochastic process (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:367:y:2006:i:c:p:191-206

DOI: 10.1016/j.physa.2005.11.036

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