Incremental Entropy Relation as an Alternative to MaxEnt

doi:10.3390/entropy-e10020124

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Entropy 2008, 10(2), 124-130; doi:10.3390/entropy-e10020124

Article

Incremental Entropy Relation as an Alternative to MaxEnt

Angelo Plastino ¹^,* , Angel R. Plastino ² , Evaldo M.F. Curado ³ and Montse Casas ⁴

¹ Exact Sciences Faculty, National University La Plata (UNLP), IFLP-CCT-CONICET, Argentina
² CREG-UNLP and Conicet, Argentina; Department of Physics, University of Pretoria, South Africa; Instituto Carlos I de Fisica Teorica y Computacional, Universidad de Granada, Spain
³ CBPF, Rio de Janeiro, Brazil
⁴ Departament de Fisica and IFISC, Universitat de les Illes Balears, 07122 Palma de Mallorca, Spain

^* Author to whom correspondence should be addressed.

Received: 5 March 2008; in revised form: 14 June 2008 / Accepted: 22 June 2008 / Published: 24 June 2008

(This article belongs to the Special Issue Facets of Entropy - Papers presented at the workshop in Copenhagen (24-26 October 2007))

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Abstract: We show that, to generate the statistical operator appropriate for a given system, and as an alternative to Jaynes’ MaxEnt approach, that refers to the entropy S, one can use instead the increments ±S in S. To such an effect, one uses the macroscopic thermodynamic relation that links ±S to changes in i) the internal energy E and ii) the remaining M relevant extensive quantities Ai, i = 1; : : : ;M; that characterize the context one is working with.

Keywords: MaxEnt; probability density function; Thermodynamics’ relations.

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Cite This Article

MDPI and ACS Style

Plastino, A.; Plastino, A.R.; Curado, E.M.F.; Casas, M. Incremental Entropy Relation as an Alternative to MaxEnt. Entropy 2008, 10, 124-130.

AMA Style

Plastino A., Plastino A.R., Curado E.M.F., Casas M. Incremental Entropy Relation as an Alternative to MaxEnt. Entropy. 2008; 10(2):124-130.

Chicago/Turabian Style

Plastino, Angelo; Plastino, Angel R.; Curado, Evaldo M.F.; Casas, Montse. 2008. "Incremental Entropy Relation as an Alternative to MaxEnt." Entropy 10, no. 2: 124-130.

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