Generalized thermostatistics and mean-field theory

Jan Naudts

Physica A: Statistical Mechanics and its Applications, 2004, vol. 332, issue C, 279-300

Abstract: The present paper studies a large class of temperature-dependent probability distributions and shows that entropy and energy can be defined in such a way that these probability distributions are the equilibrium states of a generalized thermostatistics, which is obtained from the standard formalism by deformation of exponential and logarithmic functions. Since this procedure is non-unique, specific choices are motivated by showing that the resulting theory is well-behaved. In particular, with the choices made in the present paper, the equilibrium state of any system with a finite number of degrees of freedom is, automatically, thermodynamically stable and satisfies the variational principle.

Keywords: Generalized thermostatistics; Mean-field theory; Deformed logarithmic and exponential functions; Ising chain; Non-extensive thermostatistics; Superstatistics (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:332:y:2004:i:c:p:279-300

DOI: 10.1016/j.physa.2003.10.013

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