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Entropy of continuous mixtures and the measure problem

Opened Access Entropy of continuous mixtures and the measure problem

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Autor: Maynar Blanco, Pablo
Trizac, E.
Departamento: Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear
Fecha: 2011-04-21
Publicado en: Physical Rewview Letters, 106 (16), 160603-1-160603-4.
Tipo de documento: Artículo
Resumen: In its continuous version, the entropy functional measuring the information content of a given probability density may be plagued by a “measure” problem that results from improper weighting of phase space. This issue is addressed considering a generic collision process whereby a large number of particles or agents randomly and repeatedly interact in pairs, with prescribed conservation law(s). We find a sufficient condition under which the stationary single-particle distribution function maximizes an entropylike functional, that is free of the measure problem. This condition amounts to a factorization property of the Jacobian associated with the binary collision law, from which the proper weighting of phase space directly follows.
Cita: Maynar Blanco, P. y Trizac, E. (2011). Entropy of continuous mixtures and the measure problem. Physical Rewview Letters, 106 (16), 160603-1-160603-4.
Tamaño: 113.6Kb
Formato: PDF

URI: http://hdl.handle.net/11441/62695

DOI: 10.1103/PhysRevLett.106.160603

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