The overdamped limit of dynamic density functional theory: Rigorous results
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Author(s)
Goddard, BD
Pavliotis, GA
Kalliadasis, S
Type
Journal Article
Abstract
Consider the overdamped limit for a system of interacting particles in the
presence of hydrodynamic interactions. For two-body hydrodynamic interactions
and one- and two-body potentials, a Smoluchowski-type evolution equation is
rigorously derived for the one-particle distribution function. This new
equation includes a novel definition of the diffusion tensor. A comparison with
existing formulations of dynamic density functional theory is also made.
presence of hydrodynamic interactions. For two-body hydrodynamic interactions
and one- and two-body potentials, a Smoluchowski-type evolution equation is
rigorously derived for the one-particle distribution function. This new
equation includes a novel definition of the diffusion tensor. A comparison with
existing formulations of dynamic density functional theory is also made.
Date Issued
2012
Citation
MULTISCALE MODELING & SIMULATION, 2012, 10 (2), pp.633-663
ISSN
1540-3459
Publisher
Society for Industrial and Applied Mathematics
Start Page
633
End Page
663
Journal / Book Title
MULTISCALE MODELING & SIMULATION
Volume
10
Issue
2
Copyright Statement
© 2012, Society for Industrial and Applied Mathematics
Description
16/01/13 meb. Publisher pdf, ok to pub.
Identifier
http://arxiv.org/abs/1108.3185
Publication Status
Published