Introduction to Polymer Physics

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.

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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Introduction to Polymer Physics

Summary

Table of Contents

Supplemental Materials