Phase-space approach to dynamical density functional theory

Details Phase-space approach to dynamical density functional theory Phase-space approach to dynamical density functional theory

2007-12-13

arxiv.org/abs/0712.2248v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

We consider a system of interacting particles subjected to Langevin inertial dynamics and derive the governing time-dependent equation for the one-body density. We show that, after suitable truncations of the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy, and a multiple time scale analysis, we obtain a self-consistent equation involving only the one-body density. This study extends to arbitrary dimensions previous work on a one-dimensional fluid and highlights the subtelties of kinetic theory in the derivation of dynamical density functional theory.

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