2 research outputs found
Dynamical density functional theory for interacting Brownian particles: stochastic or deterministic?
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.Comment: 10 pages, 1 figure, to be submitted to Journal of Physics A:
Mathematical and Genera