Dynamical density functional theory for interacting Brownian particles: stochastic or deterministic?
journal contributionposted on 2014-10-03, 10:41 authored by Andrew ArcherAndrew Archer, Markus Rauscher
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.
EPSRC grant number GR/S28631/01
- Mathematical Sciences