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

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 …