| Heuristic derivation of continuum kinetic equations from microscopic dynamics. | |
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MedLine Citation:
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PMID: 11304309 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
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We present an approximate and heuristic scheme for the derivation of continuum kinetic equations from microscopic dynamics for stochastic, interacting systems. The method consists of a mean-field-type, decoupled approximation of the master equation followed by the "naive" continuum limit. The Ising model and driven diffusive systems are used as illustrations. The equations derived are in agreement with other approaches, and consequences of the microscopic dependences of coarse-grained parameters compare favorably with exact or high-temperature expansions. The method is valuable when more systematic and rigorous approaches fail, and when microscopic inputs in the continuum theory are desirable. |
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Authors:
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K T Leung |
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Publication Detail:
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Type: Journal Article Date: 2000-12-18 |
Journal Detail:
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Title: Physical review. E, Statistical, nonlinear, and soft matter physics Volume: 63 ISSN: 1539-3755 ISO Abbreviation: Phys Rev E Stat Nonlin Soft Matter Phys Publication Date: 2001 Jan |
Date Detail:
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Created Date: 2001-04-17 Completed Date: 2001-05-31 Revised Date: 2003-10-31 |
Medline Journal Info:
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Nlm Unique ID: 101136452 Medline TA: Phys Rev E Stat Nonlin Soft Matter Phys Country: United States |
Other Details:
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Languages: eng Pagination: 016102 Citation Subset: - |
Affiliation:
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Institute of Physics, Academia Sinica, Taipei, Taiwan 11529, Republic of China. leungkt@phys.sinica.edu.tw |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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