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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.
Received: 5 March 2008; in revised form: 14 June 2008 / Accepted: 22 June 2008 / Published: 24 June 2008
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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Plastino, A.; Plastino, A.R.; Curado, E.M.F.; Casas, M. Incremental Entropy Relation as an Alternative to MaxEnt. Entropy 2008, 10, 124-130.
Plastino A, Plastino AR, Curado EMF, Casas M. Incremental Entropy Relation as an Alternative to MaxEnt. Entropy. 2008; 10(2):124-130.
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.