The Overdamped Limit of Dynamic Density Functional Theory: Rigorous Results

نویسندگان

  • Benjamin D. Goddard
  • Grigorios A. Pavliotis
  • Serafim Kalliadasis
چکیده

Consider the overdamped limit for a system of interacting particles in the presence of hydrodynamic interactions. For two-body hydrodynamic interactions and oneand 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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عنوان ژورنال:
  • Multiscale Modeling & Simulation

دوره 10  شماره 

صفحات  -

تاریخ انتشار 2012