Document Detail

Heuristic derivation of continuum kinetic equations from microscopic dynamics.
MedLine Citation:
PMID:  11304309     Owner:  NLM     Status:  PubMed-not-MEDLINE    
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.
K T Leung
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Publication Detail:
Type:  Journal Article     Date:  2000-12-18
Journal Detail:
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:
Created Date:  2001-04-17     Completed Date:  2001-05-31     Revised Date:  2003-10-31    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  United States    
Other Details:
Languages:  eng     Pagination:  016102     Citation Subset:  -    
Institute of Physics, Academia Sinica, Taipei, Taiwan 11529, Republic of China.
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