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On the statistical interpretation of generalized entropies

Author

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

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.

Suggested Citation

  • Figueiredo, Annibal & Antônio Amato, Marco & Marciano da Rocha Filho, Tarcísio, 2006. "On the statistical interpretation of generalized entropies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 191-206.
    • Handle: RePEc:eee:phsmap:v:367:y:2006:i:c:p:191-206
    DOI: 10.1016/j.physa.2005.11.036
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