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Generalized Green-Kubo formulas for fluids with impulsive, dissipative, stochastic, and conservative interactions.
MedLine Citation:
PMID:  16485926     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
We present a generalization of the Green-Kubo expressions for thermal transport coefficients mu in complex fluids of the generic form [equation see text], i.e., a sum of an instantaneous transport coefficient muinfinity, and a time integral over a time correlation function in a state of thermal equilibrium between a current J and its conjugate current Jepsilon. The streaming operator exp(tL) generates the trajectory of a dynamical variable J(t)=exp(tL)J when used inside the thermal average <...>0. These formulas are valid for conservative, impulsive (hard spheres), stochastic, and dissipative forces (Langevin fluids), provided the system approaches a thermal equilibrium state. In general muinfinity not equal 0 and Jepsilon not equal J, except for the case of conservative forces, where the equality signs apply. The most important application in the present paper is the hard sphere fluid.
Authors:
M H Ernst; R Brito
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Publication Detail:
Type:  Journal Article     Date:  2005-12-09
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  72     ISSN:  1539-3755     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2005 Dec 
Date Detail:
Created Date:  2006-02-20     Completed Date:  2006-04-27     Revised Date:  -    
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:  061102     Citation Subset:  -    
Affiliation:
Institute for Theoretical Physics, Universiteit Utrecht, 3508 TD Utrecht, The Netherlands.
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