Article
Entropy of continuous mixtures and the measure problem
Author/s | Maynar Blanco, Pablo
![]() ![]() ![]() ![]() ![]() ![]() Trizac, E. |
Department | Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear |
Publication Date | 2011-04-21 |
Deposit Date | 2017-07-19 |
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Abstract | 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 ... 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. |
Citation | Maynar Blanco, P. y Trizac, E. (2011). Entropy of continuous mixtures and the measure problem. Physical Rewview Letters, 106 (16), 160603-1-160603-4. |
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