2014
DOI: 10.1063/1.4869860
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A multiscale variational approach to the kinetics of viscous classical liquids: The coarse-grained mean field approximation

Abstract: A closed kinetic equation for the single-particle density of a viscous simple liquid is derived using a variational method for the Liouville equation and a coarse-grained mean-field (CGMF) ansatz. The CGMF ansatz is based on the notion that during the characteristic time of deformation a given particle interacts with many others so that it experiences an average interaction. A trial function for the N-particle probability density is constructed using a multiscale perturbation method and the CGMF ansatz is appl… Show more

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References 35 publications
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