期刊
MULTISCALE MODELING & SIMULATION
卷 10, 期 2, 页码 633-663出版社
SIAM PUBLICATIONS
DOI: 10.1137/110844659
关键词
dynamic density functional theory; colloids; overdamped limit; hydrodynamic interactions; Hilbert expansion; Smoluchowski equation; homogenization
资金
- European Research Council [247031]
- EPSRC [EP/H034587/1]
- Engineering and Physical Sciences Research Council [EP/H034587/1] Funding Source: researchfish
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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