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Incremental Entropy Relation as an Alternative to MaxEnt

Exact Sciences Faculty, National University La Plata (UNLP), IFLP-CCT-CONICET, Argentina
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
CBPF, Rio de Janeiro, Brazil
Departament de Fisica and IFISC, Universitat de les Illes Balears, 07122 Palma de Mallorca, Spain
Author to whom correspondence should be addressed.
Entropy 2008, 10(2), 124-130;
Received: 5 March 2008 / Revised: 14 June 2008 / Accepted: 22 June 2008 / Published: 24 June 2008
PDF [158 KB, uploaded 24 February 2015]


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. View Full-Text
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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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.

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