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

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journal contribution
posted on 03.10.2014, 10:41 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.

Funding

EPSRC grant number GR/S28631/01

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Journal of Physics A: Mathematical and General

Volume

37

Issue

40

Pages

9325 - 9333

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.

Publisher

© IOP Publishing Ltd

Version

SMUR (Submitted Manuscript Under Review)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2004

Notes

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

ISSN

0305-4470

Language

en

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