Dynamical density functional theory for interacting Brownian particles: stochastic or deterministic?

Details Dynamical density functional theory for interacting Brownian particles: stochastic or deterministic? Dynamical density functional theory for interacting Brownian particles: stochastic or deterministic?

2004-05-26

arxiv.org/abs/cond-mat/0405603v1

Journal of Physics A: Mathematical and General 37(40), 9325-9333 (2004)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 1 figure, to be submitted to Journal of Physics A: Mathematical and General

Scientific paper

10.1088/0305-4470/37/40/001

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.

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