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The overdamped limit of dynamic density functional theory: Rigorous results

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.

preprint2012arXivOpen access
Benjamin D. GoddardGrigorios A. PavliotisSerafim Kalliadasis
cond-mat.stat-mechmath.APmath-phmath.MP
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Benjamin D. GoddardGrigorios A. PavliotisSerafim Kalliadasis

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