Markovian approximation and dynamic density functional theory for classical dense liquids

被引：12

作者：

Munakata, T ^{[1
]}

机构：

[1] Kyoto Univ, Grad Sch Informat, Dept Appl Math & Phys, Kyoto 6068501, Japan

来源：

PHYSICAL REVIEW E | 2003年 / 67卷 / 02期

关键词：

D O I：

10.1103/PhysRevE.67.022101

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

A kinetic description of dense liquids is one of the-long-standing problems in statistical mechanics. We apply here a well-known Markovian approximation to the Mori-Fujisaka nonlinear generalized Langevin equation. This enables us to derive systematically and without further approximations the Smoluchowski equation for an interacting many-body system and the dynamic density functional theory (DDFT), which are playing important roles for the glass transition and dynamics in supercooled liquids. The free energy functional in our DDFT may be termed microcanonical as compared with the grand-canonical one widely used in the equilibrium theory of liquids.

引用

页数：4

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