| Entropy of continuous mixtures and the measure problem. | |
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MedLine Citation:
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PMID: 21599346 Owner: NLM Status: In-Data-Review |
Abstract/OtherAbstract:
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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. |
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Authors:
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Pablo Maynar; Emmanuel Trizac |
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Publication Detail:
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Type: Journal Article Date: 2011-04-21 |
Journal Detail:
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Title: Physical review letters Volume: 106 ISSN: 1079-7114 ISO Abbreviation: Phys. Rev. Lett. Publication Date: 2011 Apr |
Date Detail:
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Created Date: 2011-05-23 Completed Date: - Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 0401141 Medline TA: Phys Rev Lett Country: United States |
Other Details:
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Languages: eng Pagination: 160603 Citation Subset: IM |
Affiliation:
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Física Teórica, Universidad de Sevilla, Apartado de Correos 1065, E-41080, Sevilla, Spain. |
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