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.
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28 June 2014
Research Article|
June 26 2014
Statistical dynamics of classical systems: A self-consistent field approach
Douglas J. Grzetic;
Douglas J. Grzetic
a)
1Department of Physics,
University of Guelph
, Guelph, Ontario N1G 2W1, Canada
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Robert A. Wickham;
Robert A. Wickham
b)
1Department of Physics,
University of Guelph
, Guelph, Ontario N1G 2W1, Canada
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An-Chang Shi
An-Chang Shi
c)
2Department of Physics and Astronomy,
McMaster University
, Hamilton, Ontario L8S 4M1, Canada
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a)
Electronic mail: dgrzetic@uoguelph.ca
b)
Author to whom correspondence should be addressed. Electronic mail: rwickham@uoguelph.ca
c)
Electronic mail: shi@mcmaster.ca
J. Chem. Phys. 140, 244907 (2014)
Article history
Received:
May 12 2014
Accepted:
June 11 2014
Citation
Douglas J. Grzetic, Robert A. Wickham, An-Chang Shi; Statistical dynamics of classical systems: A self-consistent field approach. J. Chem. Phys. 28 June 2014; 140 (24): 244907. https://doi.org/10.1063/1.4884825
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