The overdamped limit of dynamic density functional theory: Rigorous results

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

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)633-663
Number of pages31
Journal Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal
Volume10
Issue number2
DOIs
Publication statusPublished - 1 Jan 2012

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