Deriving partition functions and entropic functionals from thermodynamics

A. Plastino, E.M.F. Curado and F.D. Nobre

Physica A: Statistical Mechanics and its Applications, 2014, vol. 403, issue C, 13-20

Abstract: Given an arbitrary probability distribution and a nondegenerate energy spectrum, so that a mean energy U can be computed, we derive the partition function Z and the entropic functional S that satisfy the basic relation dU=TdS. The procedure is illustrated by considering examples of typical distributions found currently in nature. In particular, the power-law spectrum is shown to correspond to a critical state, associated with Tsallis’ entropy.

Keywords: Probability theory; Quantum information; Quantum statistical mechanics (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:403:y:2014:i:c:p:13-20

DOI: 10.1016/j.physa.2014.02.009

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