Deriving partition functions and entropic functionals from thermodynamics

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 2014 English Publisher:Elsevier BVJournal:Physica A: Statistical Mechanics and its Applications, volume 403, pages 13-20 (issn: 0378-4371,

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Authors: Plastino, A.; Curado, E. M. F.; Nobre, F. D.;

doi: 10.1016/j.physa.2014.02.009

handle: 10261/116156

Deriving partition functions and entropic functionals from thermodynamics

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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. © 2014 Published by Elsevier B.V.

The partial financial supports from CNPq and FAPERJ (Brazilian agencies) and of CONICET (Argentine agency) are acknowledged.

Peer Reviewed

Related Organizations

National University of La Plata
Argentina
University of the Balearic Islands
Spain
Spanish National Research Council
Spain
National Institute of Standards and Technology
United States
Instituto Nacional de Tecnologia
Brazil

Keywords

quantum statistical mechanics, Quantum information, probability theory, quantum information, Probability theory, Quantum equilibrium statistical mechanics (general), Quantum statistical mechanics

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