Phase-space approach to dynamical density functional theory
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.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2007
- DOI:
- 10.48550/arXiv.0712.2248
- arXiv:
- arXiv:0712.2248
- Bibcode:
- 2007arXiv0712.2248M
- Keywords:
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- Condensed Matter - Statistical Mechanics;
- Condensed Matter - Other