Statistical Thermodynamics of Surfaces, Interfaces, and Membranes

Preface xv Mixtures and Interfaces 1(54) Introduction 1(1) Complex Materials and Interfaces 2(5) Review of Classical Statistical Mechanics 7(13) Phase Separation in Binary Mixtures 20(10) Differential Geometry of Surfaces 30(13) Review of Hydrodynamics 43(6) Problems 49(4) References 53(2) Interfacial Tension 55(20) Introduction 55(1) Free Energy of Surfaces and Interfaces 56(2) Surface/Interfacial Tension Theory 58(12) Surface-Active Agents 70(2) Problems 72(2) References 74(1) Fluctuations of Interfaces 75(22) Introduction 75(1) Free Energy of a Fluctuating Interface 76(3) Thermal Fluctuations of Interfaces 79(6) Capillary Instabilities of Interfaces 85(3) Roughening Transition of Solid Surfaces 88(6) Problems 94(1) References 95(2) Wetting of Interfaces 97(34) Introduction 97(1) Equilibrium: Macroscopic Description 98(6) Long-Range Interactions: Macroscopic Theory 104(3) Fluctuations of the Contact Line 107(4) Equilibrium: Microscopic Description 111(10) Dynamics of Wetting 121(6) Problems 127(1) References 128(3) Interactions of Rigid Interfaces 131(44) Introduction 131(1) Molecular Interactions 132(3) Van der Waals Interaction Energies 135(6) Continuum Theory of van der Waals Forces 141(10) Electrostatic Interactions 151(14) Solute-Induced Interactions 165(5) Problems 170(3) References 173(2) Flexible Interfaces 175(34) Introduction 175(1) Fluid Membranes and Surfactants 176(2) Curvature Elasticity of Fluid Membranes 178(11) Curvature Moduli 189(8) Fluctuations of Fluid Membranes 197(3) Interactions of Fluid Membranes 200(3) Problems 203(4) References 207(2) Colloidal Dispersions 209(24) Introduction 209(1) Colloidal Dispersions 210(3) Dispersions of Interacting Particles 213(6) Colloid Interactions: DLVO Theory 219(2) Long-Range Electrostatic Interactions 221(3) Steric Interactions: Polymer Adsorption 224(3) Structure of Colloidal Aggregates 227(3) Problems 230(1) References 231(2) Self-Assembling Interfaces 233(28) Introduction 233(1) Micelles 234(6) Vesicles 240(3) Microemulsions 243(5) Spongelike and Bicontinuous Phases 248(8) Problems 256(1) References 257(4) Index 261