Structured Fluids: Polymers, Colloids, Surfactants

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Oxford University Press, 2004 - Mathematics - 216 pages
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Contents

Overview
1
12 A gallery of structured fluids
2
122 Rheology
4
123 Scaling
5
13 Types of structured fluids
6
132 Aggregates
7
134 Surfactant assemblies
9
135 Association
10
514 Depletion forces
120
52 Repulsive forces
122
521 Steric stabilization
123
522 Electrostatic stabilization
127
53 Organized states
132
532 Lyotropic liquid crystals
133
533 Fractal aggregates
134
54 Colloidal motion
135

14 The chapters to follow
11
Fundamentals
13
212 Probability and work
17
213 Lattice gas
22
214 Approach to equilibrium
24
22 Magnitude of a liquids response
27
23 Experimental probes of structured fluids
31
232 Probes of spatial structure
34
233 Probes of atomic environment
38
Solution to Problem 21
39
References
40
Polymer molecules
41
311 Monomers
42
312 Architecture
43
313 Polymerization
45
32 Randomwalk polymer
47
321 Endtoend probability
48
33 Interior structure
54
331 Scattering
56
34 Selfavoidance and selfinteraction
61
341 Local and global avoidance
62
343 Selfinteraction and solvent quality
67
344 Universal ratios
72
345 Polyelectrolytes
73
Dilation symmetry
75
Polymeric solvents and screening
79
References
82
Polymer solutions
83
42 Semidilute solutions
85
421 Structure
86
422 Energy
87
423 Concentrated solutions and melts
90
432 Intrinsic viscosity
94
434 Internal fluctuations
98
436 Semidilute diffusion
99
437 Semidilute selfdiffusion without entanglement
102
438 Motion with entanglements
103
439 Stress relaxation and viscosity
105
44 Conclusion
109
Solution to Problem 45 Deriving permeability
110
References
111
Colloids
113
why colloids are sticky
114
512 Solid bodies
116
513 PerturbationAttraction Theorem
117
541 Electrophoresis
136
542 Soret effect
137
Colloidal aggregates
139
Simplest aggregation model
141
References
149
Interfaces
151
62 Simple fluids
153
622 Contact angle
156
623 Wetting dynamics
158
624 Surface heterogeneity
159
625 Other interfacial flows
160
63 Solutes and interfacial tension
161
631 Fluid mixtures
162
64 Polyatomic solutes
163
642 Concentration profile
165
643 Hard wall
167
644 Kinetics of adsorption
168
65 Conclusion
171
Surfactants
173
72 Mixing principles
174
721 Positivity
175
like dissolves like
176
725 Transitivity
177
73 Surfactant molecules
178
micelles
180
wormlike micelles
182
twodimensional micelles
185
75 Micelle interaction
186
751 Energy of twodimensional micelles
188
752 Energy to confine a fluctuating membrane
191
microemulsions
192
761 Interfacial tension
195
77 Amphiphilic polymers
198
771 Micelle size
199
772 Other copolymers
201
773 Polymeric amphiphiles in solution
202
78 Dynamics and rheology
203
781 Wormlike entanglement and relaxation
204
782 Rheology of lamellar solution
206
783 Shearinduced restructuring
207
GaussBonnet Theorem
210
References
211
Index
213
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About the author (2004)

Thomas A. Witten was an assistant professor at the University of Michigan and a staff scientist at Exxon Research and Engineering before joining the University of Chicago in 1989 as a professor of physics.

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