The Equilibrium Theory of Inhomogeneous Polymers

Paperback | July 1, 2013

byGlenn Fredrickson

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The Equilibrium Theory of Inhomogeneous Polymers provides an introduction to the field-theoretic methods and computer simulation techniques that are used in the design of structured polymeric fluids. By such methods, the principles that dictate equilibrium self-assembly in systems ranging fromblock and graft copolymers, to polyelectrolytes, liquid crystalline polymers, and polymer nanocomposites can be established. Building on an introductory discussion of single-polymer statistical mechanics, the book provides a detailed treatment of analytical and numerical techniques for addressingthe conformational properties of polymers subjected to spatially-varying potential fields. This problem is shown to be central to the field-theoretic description of interacting polymeric fluids, and models for a number of important polymer systems are elaborated. Chapter 5 serves to unify andexpound the topic of self-consistent field theory, which is a collection of analytical and numerical techniques for obtaining solutions of polymer field theory models in the mean-field approximation. The concluding Chapter 6 provides a discussion of analytical methods for going beyond the mean-fieldapproximation and an introduction to the exciting new field of field-theoretic polymer simulations - the direct numerical simulation of polymer field theory models. No other book brings together in such a detailed and instructive fashion the theoretical and numerical tools for investigating the equilibrium structure and thermodynamics of meso-structured polymer formulations, including those relevant to soft material nanotechnologies, personal care products, andmultiphase plastic materials.

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From the Publisher

The Equilibrium Theory of Inhomogeneous Polymers provides an introduction to the field-theoretic methods and computer simulation techniques that are used in the design of structured polymeric fluids. By such methods, the principles that dictate equilibrium self-assembly in systems ranging fromblock and graft copolymers, to polyelectrol...

Glenn Frederickson is Mitsubishi Chemical Professor at the University of California at Santa Barbara, USA.

other books by Glenn Fredrickson

Format:PaperbackDimensions:456 pages, 9.21 × 6.14 × 0.68 inPublished:July 1, 2013Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199673799

ISBN - 13:9780199673797

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Table of Contents

1. Introduction2. Ideal chain models3. Single chains in external fields4. Models of many-chain systems5. Self-consistent field theory6. Beyond mean-field theoryAppendix A: Fourier series and transformsAppendix B: Gaussian integrals and probability theoryAppendix C: Calculus of functionalsAppendix D: Complex Langevin theory

Editorial Reviews

"Excellent ... of interest to many students in polymer science and interfacial science." --Pierre-Gilles DeGennes, College de France