Artículo
Generalized relative entropies in the classical limit
Fecha de publicación:
03/2015
Editorial:
Elsevier Science
Revista:
Physica A: Statistical Mechanics and its Applications
ISSN:
0378-4371
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
Our protagonists are (i) the Cressie-Read family of divergences (characterized by the parameter γ), (ii) Tsallis' generalized relative entropies (characterized by the q one), and, as a particular instance of both, (iii) the Kullback-Leibler (KL) relative entropy. In their normalized versions, we ascertain the equivalence between (i) and (ii). Additionally, we employ these three entropic quantifiers in order to provide a statistical investigation of the classical limit of a semiclassical model, whose properties are well known from a purely dynamic viewpoint. This places us in a good position to assess the appropriateness of our statistical quantifiers for describing involved systems. We compare the behaviour of (i), (ii), and (iii) as one proceeds towards the classical limit. We determine optimal ranges for γ and/or q. It is shown the Tsallis-quantifier is better than KL's for 1.5
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Citación
Kowalski, Andres Mauricio; Martín, María Teresa; Plastino, Ángel Luis; Generalized relative entropies in the classical limit; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 422; 3-2015; 167-174
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