Introduction to Polymer Physics,9780198517894

Introduction to Polymer Physics

by ;
Edition: Reprint
ISBN13: 9780198517894
ISBN10: 0198517890
Format: Paperback
Pub. Date: 1996-07-25
Publisher(s): Clarendon Press
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Summary

A polymer is a very large molecule consisting of many atoms covalently bonded like a chain. Polymers take a random coil conformation in solution and entangle each other when the polymer concentration is high. The unique structure gives unique physical properties to polymer solutions. Thisbook is an introduction to the modern theory of polymer physics. It describes basic concepts and methods to discuss the statistical properties of the assembly of chain-like molecules. This involves scaling theory, concentration fluctuation, gels and reptation.

Table of Contents

Properties of an isolated polymer molecule
1(19)
The ideal chain
2(5)
The random walk model
2(2)
The effect of short-range interactions
4(2)
Gaussian chains
6(1)
Distribution of segments in the polymer chain
7(3)
Pair correlation function
7(1)
Radius of gyration
8(1)
Radius of gyration and pair correlation function of an ideal chain
9(1)
Non-ideal chains
10(6)
The excluded volume effect
10(2)
Effect of the solvent
12(2)
The Θ temperature and coil-globule transition
14(2)
Scaling laws
16(4)
Concentrated solutions and melts
20(25)
Thermodynamic properties of polymer solutions
21(8)
Flory-Huggins theory
21(2)
Chemical potential and osmotic pressure
23(3)
Phase separation
26(3)
Concentration fluctuation in polymer solutions
29(9)
Correlation function and response function
29(3)
Random phase approximation
32(2)
Concentration fluctuations in concentrated polymer solutions
34(1)
Scaling theory
35(3)
Polymer blends
38(2)
Phase diagrams of polymer-polymer mixtures
38(1)
Correlation function in miscible systems
39(1)
Block copolymers
40(5)
Block copolymers and microscopic phase separation
40(1)
Correlation function in the uniform phase
41(2)
Domain size
43(2)
Polymer gels
45(20)
Elasticity of rubber
46(5)
Polymer thermal motion and the elasticity of rubber
46(1)
Elastic free energy of rubber
47(1)
Relationship between stress and strain
48(3)
The stress optical law
51(5)
Orientation of bonds of a stretched chain
51(3)
Stress tensor and orientational order parameter tensor
54(2)
Interactions between partial chains
56(6)
Excluded volume interactions
56(1)
Nematic interactions
57(2)
Entanglement interactions
59(3)
Swelling of gels
62(3)
Molecular motion of polymers in dilute solution
65(24)
General theory of Brownian motion
66(5)
Brownian motion of spherical particles
66(1)
The effect of a potential field
67(1)
Einstein's relation
68(2)
The Brownian motion of a harmonic oscillator
70(1)
The bead-spring model
71(5)
Rouse theory
71(2)
Features of Brownian motion of the polymer
73(2)
Comparison with experiments
75(1)
Hydrodynamic interactions
76(6)
The mobility matrix for a many-particle system
76(2)
Zimm theory
78(3)
The dynamic scaling law
81(1)
Dynamic light scattering
82(4)
Dynamic structure factor
82(1)
Initial decay rate of g(q, t)
83(3)
Appendix
86(3)
Derivation of the diffusion equation
86(1)
Initial decay rate of the time correlation function
87(2)
Molecular motion in entangled polymer systems
89(25)
Dynamics of concentration fluctuations
89(4)
Time correlation function of concentration fluctuations
89(1)
Cooperative diffusion constant
90(2)
Initial decay rate of g(q, t)
92(1)
Reptation
93(10)
Entanglement effects and the tube model
93(1)
Lattice model of reptation
94(2)
Motion of the centre of mass
96(1)
Rotational motion
97(2)
Shape memory function
99(2)
Fluctuations of the tube contour length
101(2)
Viscoelasticity of polymers
103(11)
Phenomenological theory of viscoelasticity
103(2)
Microscopic description of stress
105(2)
The Rouse model
107(2)
The reptation model
109(5)
Bibliography 114(3)
Index 117

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