Phase-space approach to dynamical density functional theory
Statistical Mechanics
2007-12-17 v1 Other Condensed Matter
Abstract
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.
Cite
@article{arxiv.0712.2248,
title = {Phase-space approach to dynamical density functional theory},
author = {Umberto Marini Bettolo Marconi and Simone Melchionna},
journal= {arXiv preprint arXiv:0712.2248},
year = {2007}
}