The overdamped limit of dynamic density functional theory: Rigorous results

B.D. Goddard; S. Kalliadasis; G.A. Pavliotis

doi:10.1137/110844659

The overdamped limit of dynamic density functional theory: Rigorous results

B.D. Goddard, S. Kalliadasis, G.A. Pavliotis

School of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	633-663
Number of pages	31
Journal	Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal (MMS)
Volume	10
Issue number	2
DOIs	https://doi.org/10.1137/110844659
Publication status	Published - 1 Jan 2012

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The overdamped limit of dynamic density functional theory: Rigorous results

Abstract

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