Berlin 2005 – wissenschaftliches Programm
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CPP: Chemische Physik und Polymerphysik
CPP 5: SYMPOSIUM: Dynamics of multi-component fluids POSTER
CPP 5.3: Poster
Freitag, 4. März 2005, 17:15–19:00, Poster TU D
Dynamic density functional theory for interacting Brownian particles: deterministic or stochastic? — •Markus Rauscher1,2 and Andrew J. Archer3 — 1Max-Planck-Institut für Metallforschung, Heisenbergstr. 3, 70569 Stuttgart, Germany — 2ITAP, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart,Germany — 3H. H. Wills Physics Laboratory, University of Bristol, Bristol BS8 1TL, UK
Dynamic density functional theory (DFT) is a dynamic extension of the very successful equilibrium DFT to systems close to equilibrium. For example, dynamic DFT has been used to describe non-equilibrium entropic interactions between colloids in polymer solutions. There has been a confusions in the literature as to whether or not dynamic DFT for the one-body density of a classical Brownian fluid should contain a stochastic noise term. We aim to clarify this confusions by revisiting the derivations of DDFT and 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 [1].
[1] A. J. Archer and M. Rauscher, J. Phys. A: Math. General 37, 9325 (2004)