Deriving partition functions and entropic functionals from thermodynamics

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.

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Year of publication:	2014
Authors:	Plastino, A. ; Curado, E.M.F. ; Nobre, F.D.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 403.2014, C, p. 13-20
Publisher:	Elsevier
Subject:	Probability theory \| Quantum information \| Quantum statistical mechanics

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010873542