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Molecular theory of capillarity /
History of thought on molecular origins of surface phenomena offers a critical and detailed examination and assessment of modern theories, focusing on statistical mechanics and application of results in mean-field approximation to model systems. Emphasis on liquid-gas surface, with a focus on liquid...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Mineola, N.Y. :
Dover Publications,
2002.
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| Edición: | Dover ed. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 1 Mechanical Molecular Models
- 1.2 Molecular mechanics 2
- 1.3 Capillary phenomena 7
- 1.4 The internal energy of a liquid 13
- 1.5 The continuous surface profile 16
- 1.6 The mean molecular field 17
- 2 Thermodynamics
- 2.1 Thermodynamics and kinetic theory 25
- 2.2 The thermodynamics of the surface 26
- 2.3 Surface functions 31
- 2.4 The spherical surface 38
- 2.5 Quasi-thermodynamics
- a first look 43
- 3 The Theory of van der Waals
- 3.2 The surface tension 56
- 3.3 Independently variable densities 57
- 3.4 Gibbs adsorption equation in the van der Waals theory 62
- 3.5 Constraints on the range of fluctuations 64
- 4 Statistical Mechanics of the Liquid-Gas Surface
- 4.2 Distribution and correlation functions 69
- 4.3 The pressure tensor 85
- 4.4 The virial route to the surface tension 89
- 4.5 Functionals of the distribution functions 93
- 4.6 The surface tension from the direct correlation function 98
- 4.7 Equivalence of the two expressions for the surface tension 104
- 4.8 The spherical surface 109
- 4.9 Density fluctuations and their correlation 115
- 4.10 Local thermodynamic functions 122
- 5 Model Fluids in the Mean-Field Approximation
- 5.1 Introduction: mean-field theory of a homogeneous fluid of attracting hard spheres 129
- 5.2 Liquid-gas interface in the model of attracting hard spheres 133
- 5.3 Lattice-gas model: one component 135
- 5.4 Lattice-gas model: two components 140
- 5.5 Penetrable-sphere model: theory 151
- 5.6 Penetrable-sphere model: applications 159
- 5.7 Penetrable-sphere model: spherical surfaces 167
- 6 Computer Simulation of the Liquid-Gas Surface
- 6.1 The experimental background 173
- 6.2 The methods of computer simulation 175
- 6.3 The density profile 178
- 6.4 The surface tension 181
- 6.5 Further work 185
- 7 Calculation of the Density Profile
- 7.2 Solution of the YBG equation 190
- 7.3 Approximations for the direct correlation function 195
- 7.4 Modified van der Waals theories 198
- 7.5 Perturbation theories 200
- 7.6 Surface tension 202
- 8 Three-Phase Equilibrium
- 8.2 Contact angles and Neumann's triangle 209
- 8.3 Spreading and Antonow's rule 212
- 8.4 The [alpha gamma] interface 221
- 8.5 Phase transitions in interfaces. The Cahn transition 225
- 8.6 Three-phase line and line tension 232
- 9 Interfaces Near Critical Points
- 9.1 Introduction: mean-field approximation 249
- 9.2 Digression on the Ornstein-Zernike theory of the pair-correlation function 255
- 9.3 Digression on critical-point exponents 261
- 9.4 Van der Waals theory with non-classical exponents 270
- 9.5 Tricritical points 276
- 9.6 Non-critical interface near a critical endpoint 285
- 9.7 Renormalization-group theory; field-theoretical models 296
- Appendix 1 Thermodynamics 307
- Appendix 2 Dirac's delta-function 314.