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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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SINGLE CHAINS IN EXTERNAL FIELDS

SINGLE CHAINS IN EXTERNAL FIELDS

Chapter:
(p.53) 3 SINGLE CHAINS IN EXTERNAL FIELDS
Source:
The Equilibrium Theory of Inhomogeneous Polymers
Author(s):

Glenn H. Fredrickson

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198567295.003.0003

This chapter examines the subject of polymers experiencing external potential fields that vary in space. The statistical mechanical problem is reduced to the solution of Fokker-Planck equations, and operators for polymer segment density and stress are introduced. Analytical approximation schemes for solving the Fokker-Planck equations and evaluating operators are presented. Effective numerical methods are also described, with an emphasis on spectral collocation techniques.

Keywords:   polymer in field, Fokker-Planck equation, statistical mechanics, density, stress, pseudo-spectral, spectral collocation, numerical methods

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