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Title: Dynamics of polymers: A mean-field theory

We derive a general mean-field theory of inhomogeneous polymer dynamics; a theory whose form has been speculated and widely applied, but not heretofore derived. Our approach involves a functional integral representation of a Martin-Siggia-Rose (MSR) type description of the exact many-chain dynamics. A saddle point approximation to the generating functional, involving conditions where the MSR action is stationary with respect to a collective density field ρ and a conjugate MSR response field ϕ, produces the desired dynamical mean-field theory. Besides clarifying the proper structure of mean-field theory out of equilibrium, our results have implications for numerical studies of polymer dynamics involving hybrid particle-field simulation techniques such as the single-chain in mean-field method.
Authors:
 [1] ;  [2] ;  [2] ;  [3]
  1. Department of Chemical Engineering, University of California, Santa Barbara, California 93106 (United States)
  2. (United States)
  3. Institut de Physique Théorique, CE-Saclay, CEA, F-91191 Gif-sur-Yvette Cedex (France)
Publication Date:
OSTI Identifier:
22255084
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Chemical Physics; Journal Volume: 140; Journal Issue: 8; 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; DENSITY; HYBRIDIZATION; MEAN-FIELD THEORY; NUMERICAL ANALYSIS; POLYMERS; SIMULATION