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

Incremental Entropy Relation as an Alternative to MaxEnt

1,* , 2
,
3
 and
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 / Revised: 14 June 2008 / Accepted: 22 June 2008 / Published: 24 June 2008
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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. MaxEnt; probability density function; Thermodynamics’ relations.
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).
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Plastino, A.; Plastino, A.R.; Curado, E.M.F.; Casas, M. Incremental Entropy Relation as an Alternative to MaxEnt. Entropy 2008, 10, 124-130.

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