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Statistical Thermodynamics of Surfaces, Interfaces, and Membranes

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Book Description: Understanding the structural and thermodynamic properties of surfaces, interfaces, and membranes is important for both fundamental and practical reasons. Complex fluids and solids, important in the development of new materials, cannot be designed using trial and error methods due to the multiplicity of components and parameters. While these materials can sometimes be analyzed in terms of microscopic mixtures, it is often conceptually simpler to regard them as dispersions and to focus on the properties of the internal interfaces found in these systems. The basic physics centers on the properties of quasi-two-dimensional systems embedded in the three-dimensional world, thus exhibiting phenomena that do not exist in bulk materials. This approach is the basis behind the theoretical presentation of Statistical Thermodynamics of Surfaces, Interfaces, and Membranes. The approach adapted presents the traditional approach and then investigates throughout to treat the rich diversity of phenomena investigated in the field of colloid and interface science such as interfacial tension, the roughening transition, wetting, interactions between surfaces, membrane elasticity, and self-assembly. Presented as a set of lecture notes, this book is aimed at physicists, physical chemists, chemical engineers, and materials scientists who are interested in the statistical mechanics that underlie the macroscopic, thermodynamic properties of surfaces, interfaces, and membranes. NOTE: Each Part begins with an Introduction, and ends with Problems and References. Mixtures and Interfaces Complex Materials and Interfaces Review of Classical Statistical Mechanics Phase Separation in Binary Mixtures Differential Geometry of Surfaces Review of Hydrodynamics Interfacial Tension Free Energy of Surfaces and Interfaces Surface/Interfacial Tension Theory Surface-Active Agents Fluctuations of Interfaces Free Energy of a Fluctuating Interface Thermal Fluctuations of Interfaces Capillary Instabilities of Interfaces Roughening Transition of Solid Surfaces Wetting of Interfaces Equilibrium Long-Range Interactions: Macroscopic Theory Fluctuations of the Contact Line Equilibrium: Microscopic Description Dynamics of Wetting Interactions of Rigid Interfaces Molecular Interactions Van der Waals Interaction Energies Continuum Theory of van der Waals Forces Electrostatic Interactions Solute-Induced Interactions Flexible Interfaces Fluid Membranes and Surfactants Curvature Elasticity of Fluid Membranes Curvature Moduli Fluctuations of Fluid Membranes Interactions of Fluid Membranes Colloidal Dispersions Dispersions of Interacting Particles Colloid interactions: DLVO Theory Long-Range Electrostatic Interactions Steric Interactions: Polymer Adsorption Structure of Colloidal Aggregates Self-Absorbing Interfaces Micelles Vesicles Microemulsions Spongelike and Bicontinuous Phases
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