Mesoscopic Physics of Complex Materials

Front Cover
Springer Science & Business Media, Aug 25, 2000 - Science - 196 pages
This book is intended to provide a cross-disciplinary study of the physical prop erties of complex fluids, solids, and interfaces as a function of their mesoscopic structures. Because of the disorder and dissipate nature of these structures, em phasis is placed on nonequilibrium phenomena. These phenomena are the active research areas of soft condensed matter, and it is impossible to cover them all in one book. Therefore, we have limited the scope by selecting a variety of important current systems that (l) present high values to both science and technology on the basis of my own preference and expertise and (2) have not been put together coherently in the form of a book. We then show the underlying connections and parallels between topics as diverse as critical phenomena in colloidal dynamics, glass state relaxation and deformation, reinforced polymer composites, molecular level mixing in nanocomposites, and microscopic interactions of rough surfaces and interfaces. At the same time, each chapter is designed to be directly accessible to readers, and the need for going through the previous chapters has been kept to the minimum. It is a reasonably short book that is not designed to review all of the recent work that spans many disciplines. Instead, we attempt to establish a general framework for the fundamental understanding and the practical development of new materials that cannot be designed by the trial-and-error methods.
 

Contents

Overview
3
11 Statistical Dynamics
4
12 Fluid Dispersions
5
13 Relaxation in Solids
6
14 Nanocomposites
7
15 Fractal Surfaces
9
Appendix 1A Viscoelasticity
10
Brownian Motion
12
52 FreeVolume Distribution
85
53 Fractal Dynamic Theory of Glasses
88
54 Relaxation Function and Time
91
55 Relaxation Spectrum
94
56 Volume Relaxation and Recovery
96
57 PVT Equation of State
99
Glassy Polymers
102
62 Physical Aging
106

22 Langevin Equation
14
23 Random Force Correlation
17
24 FokkerPlanck Equation
19
25 Memory Effect
21
Appendix 2A The NavierStokes Equation
24
Appendix 2B The Liouville Theorem
25
Dynamic Response
27
32 Correlation Functions
29
33 Generalized Susceptibility
31
34 FluctuationDissipation Theorem
33
35 NonMarkovian and Nonlocal Relations
35
36 Relaxation Time
38
37 The Master Equation
40
Colloidal Dynamics
43
41 Stokesian Dynamics
44
42 Anisotropic Viscosities
47
43 Lattice Model
50
44 Concentrated Dispersions
52
45 Percolation Transition
55
46 Memory Function
60
47 Dynamic Viscosities
63
48 Mesoscopic Dynamics
67
49 Shear Thinning
69
410 Colloid Growth Model
74
411 Polymer Gels
76
Appendix 4A Fractals
80
GlassyState Relaxation
83
63 Dynamic Viscoelastic Properties
110
64 Yield Behavior
113
65 StressInduced Glass Transition
116
66 Activation Volume Tensor
120
67 Nonlinear StressStrain Relationships
122
Polymer Composites
128
71 Anisotropic Elasticity
129
72 Elastic Constants
131
73 Thermal Expansion
136
74 Stress Concentration
140
76 Compatible Polymer Blends
145
77 Molecular Composites
150
78 Nanocomposites
153
Appendix 7A Eshelbys Tensor
157
Rough Surfaces and Interfaces
160
82 Noise and Fluctuations
163
83 Fluctuations of Contact Line
166
84 Wetting and Adhesion
168
85 Critical Surface Tension
171
86 Dynamics of Wetting
173
87 Adhesional Friction
178
88 Deformational Friction
181
89 Diffuse Scattering
186
810 Surface Growth
189
Appendix 8A Surface Forces
192
Index
195
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