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The Equilibrium Theory of Inhomogeneous Polymers$
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Glenn Fredrickson

Print publication date: 2005

Print ISBN-13: 9780198567295

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198567295.001.0001

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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 18 November 2019

BEYOND MEAN-FIELD THEORY

BEYOND MEAN-FIELD THEORY

Chapter:
(p.281) 6 BEYOND MEAN-FIELD THEORY
Source:
The Equilibrium Theory of Inhomogeneous Polymers
Author(s):

Glenn H. Fredrickson

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198567295.003.0006

This chapter describes analytical and numerical methods for analyzing polymer field theory models beyond the mean-field approximation. Analytical treatments of field fluctuations at the Gaussian level are described including an introduction to renormalization techniques. Extensive coverage is given to approaches and numerical methods for conducting field theoretic polymer simulations. Monte Carlo and complex Langevin simulations are discussed in considerable detail. Lattice cutoff and finite size effects are briefly introduced, along with numerical renormalization group. The chapter ends with a perspective on emerging themes in field theoretic simulations and the choice between particle and field based simulations.

Keywords:   field theory, fluctuation, renormalization, polymer simulation, numerical methods, Langevin simulation, Monte Carlo, field-theoretic simulation, block copolymer, nanocomposite

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