The overdamped limit of dynamic density functional theory: Rigorous results

Details The overdamped limit of dynamic density functional theory: Rigorous results The overdamped limit of dynamic density functional theory: Rigorous results

2011-08-16

arxiv.org/abs/1108.3185v1

Physics

Mathematical Physics

31 pages, 1 figure

Scientific paper

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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