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Title: Dynamical density functional theory for interacting Brownian particles: stochastic or deterministic?
Authors: Archer, Andrew J.
Rauscher, Markus
Issue Date: 2004
Publisher: © IOP Publishing Ltd
Citation: ARCHER, A.J. and RAUSCHER, M., 2004. Dynamical density functional theory for interacting Brownian particles: stochastic or deterministic? Journal of Physics A: Mathematical and General, 37 (40), pp. 9325 - 9333.
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.
Description: This article was published in the Journal of Physics A: Mathematical and General [© IOP Publishing Ltd] and the definitive version is available at: http://iopscience.iop.org/0305-4470/37/40/001/pdf/0305-4470_37_40_001.pdf
Sponsor: EPSRC grant number GR/S28631/01
Version: Submitted for publication
DOI: 10.1088/0305-4470/37/40/001
URI: https://dspace.lboro.ac.uk/2134/15986
Publisher Link: http://dx.doi.org/10.1088/0305-4470/37/40/001
ISSN: 0305-4470
Appears in Collections:Published Articles (Maths)

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