Dynamical density functional theory for interacting Brownian particles: stochastic or deterministic?
统计力学
2007-05-23 v1
摘要
We aim to clarify confusions in the literature as to whether or not dynamical density functional theories for the one-body density of a classical Brownian fluid should contain a stochastic noise term. We point out that a stochastic as well as a deterministic equation of motion for the density distribution can be justified, depending on how the fluid one-body density is defined -- i.e. whether it is an ensemble averaged density distribution or a spatially and/or temporally coarse grained density distribution.
引用
@article{arxiv.cond-mat/0405603,
title = {Dynamical density functional theory for interacting Brownian particles: stochastic or deterministic?},
author = {Andrew J. Archer and Markus Rauscher},
journal= {arXiv preprint arXiv:cond-mat/0405603},
year = {2007}
}
备注
10 pages, 1 figure, to be submitted to Journal of Physics A: Mathematical and General