The equilibrium theory of inhomogeneous polymers / Glenn Fredrickson.

Format:

Book

Author/Creator:

Fredrickson, Glenn Harold.

Series:

International series of monographs on physics (Oxford, England) ; 134.

International series of monographs on physics ; 134

Language:

English

Subjects (All):

Inhomogeneous materials.

Polymer solutions.

Polymers--Mathematical models.

Polymers.

Physical Description:

1 online resource (456 p.)

Place of Publication:

Oxford : Clarendon Press, 2006.

Language Note:

English

Summary:

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 from block and graft copolymers, to polyelectrolytes, liquid crystalline polymers, and polymer nanocomposites can be established. Building on an introductory discussion of single-polymerstatistical mechanics, the book provides a detailed treatment of analytical and numerical techniques for addressing the conf

Contents:

Contents; 1 Introduction; 1.1 What is a polymer?; 1.2 Polymeric systems of practical interest; 1.2.1 Plastic materials; 1.2.2 Solution formulations; 1.3 Macrophase and microphase separation; 1.4 Modern themes; 1.4.1 Plastics industry trends; 1.4.2 New synthetic methods; 1.4.3 Combinatorial methodologies; 1.4.4 Soft material nanotechnology; 1.5 Why theory?; 1.6 Modelling perspective and scales; 1.6.1 Atomistic perspective; 1.6.2 Mesoscopic perspective; 1.6.3 Particles and fields; 2 Ideal chain models; 2.1 Real and ideal chains; 2.2 Freely jointed chain model; 2.3 Bead-spring models

2.4 Continuous Gaussian chain model2.5 Wormlike chain model; 2.6 Summary; 3 Single chains in external fields; 3.1 Partition and distribution functions; 3.1.1 Discrete Gaussian chain; 3.1.2 Continuous Gaussian chain; 3.1.3 Wormlike chain; 3.1.4 Rodlike polymer; 3.2 Single-chain averages and operators; 3.2.1 Density operators; 3.2.2 Stress operators; 3.3 Other architectures; 3.3.1 Branched homopolymers; 3.3.2 Block and graft copolymers; 3.4 Approximation schemes; 3.4.1 Weak inhomogeneity expansion; 3.4.2 Slow gradient expansion; 3.4.3 Ground state dominance; 3.4.4 Other approximations

3.5 Boundary conditions3.6 Numerical methods; 3.6.1 Finite difference method; 3.6.2 Spectral methods; 3.6.3 Pseudo-spectral methods; 3.6.4 Higher dimensions; 3.6.5 Unit-cell calculations; 3.6.6 Large-cell calculations; 3.6.7 Other chain models; 3.6.8 Other techniques; 3.7 Summary; 4 Models of many-chain systems; 4.1 From particles to fields; 4.1.1 Monatomic fluid in the canonical (nVT) ensemble; 4.1.2 Monatomic fluid in the grand canonical (πVT) ensemble; 4.1.3 Averages and operators for monatomic fluids; 4.1.4 Averages and operators for the simplified field theories

4.2 Neutral polymer solutions4.2.1 Model A: homopolymer in a good solvent; 4.2.2 Model B: homopolymer solution, explicit solvent; 4.3 Polymer blends; 4.3.1 Model C: incompressible homopolymer blend; 4.3.2 Model D: compressible homopolymer blend; 4.4 Block and graft copolymers; 4.4.1 Model E: diblock copolymer melt; 4.4.2 A[sub(2)]B graft copolymer melt; 4.5 Polyelectrolytes; 4.5.1 Model F: polyelectrolyte solution, implicit solvent; 4.5.2 Extensions; 4.6 Liquid crystalline polymers; 4.6.1 Model G: polymer nematics; 4.7 Disorder effects; 4.7.1 Model H: quenched polydispersity

4.7.2 Model I: annealed polydispersity, equilibrium polymers4.7.3 Model J: random graft copolymers; 4.8 Tethered polymer layers; 4.8.1 Model K: solution polymer brush; 4.9 Boundary conditions and confinement effects; 4.9.1 Bulk fluids; 4.9.2 Confined solutions; 4.9.3 Confined melts; 4.9.4 Polymer brushes; 4.9.5 Irregularly shaped domains; 4.10 Density functional theory; 4.10.1 Monatomic fluid; 4.10.2 Polymer solutions: Model A; 4.11 Summary; 5 Self-consistent field theory; 5.1 The mean-field approximation; 5.1.1 The mean-field approximation: general considerations

5.1.2 Analytic structure of the field theory

Notes:

Description based upon print version of record.

Description based on print version record.

Includes bibliographical references and index.

ISBN:

0-19-967379-9

1-4294-2161-4

9786610965069

1-280-96506-1

0-19-152432-8

OCLC:

742333443