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Tables of Contents for Molecular Theory of Capillarity
Chapter/Section Title
Page #
Page Count
Principal symbols
ix
Mechanical Molecular Models
Introduction
1
1
Molecular mechanics
2
5
Capillary phenomena
7
6
The internal energy of a liquid
13
3
The continuous surface profile
16
1
The mean molecular field
17
8
Thermodynamics
Thermodynamics and kinetic theory
25
1
The thermodynamics of the surface
26
5
Surface functions
31
7
The spherical surface
38
5
Quasi-thermodynamics---a first look
43
7
The Theory of Van Der Waals
Introduction
50
6
The surface tension
56
1
Independently variable densities
57
5
Gibbs adsorption equation in the van der Waals theory
62
2
Constraints on the range of fluctuations
64
5
Statistical Mechanics of the Liquid-Gas Surface
Introduction
69
1
Distribution and correlation functions
69
16
The pressure tensor
85
4
The virial route to the surface tension
89
4
Functionals of the distribution functions
93
5
The surface tension from the direct correlation function
98
6
Equivalence of the two expressions for the surface tension
104
5
The spherical surface
109
6
Density fluctuations and their correlation
115
7
Local thermodynamic functions
122
7
Model Fluids in the Mean-Field Approximation
Introduction: mean-field theory of a homogeneous fluid of attracting hard spheres
129
4
Liquid--gas interface in the model of attracting hard spheres
133
2
Lattice--gas model: one component
135
5
Lattice--gas model: two components
140
11
Penetrable-sphere model: theory
151
8
Penetrable-sphere model: applications
159
8
Penetrable-sphere model: spherical surfaces
167
6
Computer Simulation of the Liquid--Gas Surface
The experimental background
173
2
The methods of computer simulation
175
3
The density profile
178
3
The surface tension
181
4
Further work
185
5
Calculation of the Density Profile
Introduction
190
1
Solution of the YBG equation
190
5
Approximations for the direct correlation function
195
3
Modified van der Waals theories
198
2
Perturbation theories
200
2
Surface tension
202
5
Three-Phase Equilibrium
Introduction
207
2
Contact angles and Neumann's triangle
209
3
Spreading and Antonow's rule
212
9
The αγ interface
221
4
Phase transitions in interfaces. The Cahn transition
225
7
Three-phase line and line tension
232
17
Interfaces Near Critical Points
Introduction: mean-field approximation
249
6
Digression on the Ornstein-Zernike theory of the pair-correlation function
255
6
Digression on critical-point exponents
261
9
Van der Waals theory with non-classical exponents
270
6
Tricritical points
276
9
Non-critical interface near a critical endpoint
285
11
Renormalization-group theory; field-theoretical models
296
11
Appendix 1 Thermodynamics
307
7
Appendix 2 Dirac's delta-function
314
2
Name Index
316
5
Subject Index
321