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Title: Statistical dynamics of classical systems: A self-consistent field approach

We develop a self-consistent field theory for particle dynamics by extremizing the functional integral representation of a microscopic Langevin equation with respect to the collective fields. Although our approach is general, here we formulate it in the context of polymer dynamics to highlight satisfying formal analogies with equilibrium self-consistent field theory. An exact treatment of the dynamics of a single chain in a mean force field emerges naturally via a functional Smoluchowski equation, while the time-dependent monomer density and mean force field are determined self-consistently. As a simple initial demonstration of the theory, leaving an application to polymer dynamics for future work, we examine the dynamics of trapped interacting Brownian particles. For binary particle mixtures, we observe the kinetics of phase separation.
Authors:
;  [1] ;  [2]
  1. Department of Physics, University of Guelph, Guelph, Ontario N1G 2W1 (Canada)
  2. Department of Physics and Astronomy, McMaster University, Hamilton, Ontario L8S 4M1 (Canada)
Publication Date:
OSTI Identifier:
22311397
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Chemical Physics; Journal Volume: 140; Journal Issue: 24; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY; 97 MATHEMATICAL METHODS AND COMPUTING; DENSITY; KINETICS; LANGEVIN EQUATION; MIXTURES; MONOMERS; PARTICLES; POLYMERS; SELF-CONSISTENT FIELD; TIME DEPENDENCE