THE OVERDAMPED LIMIT OF DYNAMIC DENSITY FUNCTIONAL THEORY: RIGOROUS RESULTS
THE OVERDAMPED LIMIT OF DYNAMIC DENSITY FUNCTIONAL THEORY: RIGOROUS RESULTS
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DOI：
10.1137/110844659
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发表时间：
2012-01-01
影响因子：
1.6
通讯作者：
Kalliadasis, S.
中科院分区：
文献类型：
--
作者：
Goddard, B. D.;Pavliotis, G. A.;Kalliadasis, S.
考虑存在流体动力相互作用的相互作用粒子系统的过阻尼极限。对于两体水动力相互作用和一、二体势，严格推导了单粒子分布函数的smoluchowski型演化方程。这个新方程包含了扩散张量的新定义。并与现有的动态密度泛函理论公式进行了比较。
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.