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

Andrew J. Archer·Markus Rauscher
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Abstract

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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Andrew J. Archer, Markus Rauscher. 2004-05-26. Dynamical density functional theory for interacting Brownian particles: stochastic or deterministic?. https://doi.org/10.1088/0305-4470%2F37%2F40%2F001

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