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arXiv · 1108.3185

The overdamped limit of dynamic density functional theory: Rigorous results

Benjamin D. Goddard·Grigorios A. Pavliotis·Serafim Kalliadasis
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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.

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Benjamin D. Goddard, Grigorios A. Pavliotis, Serafim Kalliadasis. 2011-08-16. The overdamped limit of dynamic density functional theory: Rigorous results. https://doi.org/10.1137/110844659

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