Thermodynamics of Finite Systems and the Kinetics of First-Order Phase Transitions

AvJürn Schmelzer,Frank Schweitzer

Häftad, Tyska, 2012

Del 17 i serien Teubner Texte zur Physik

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Produktinformation

Utgivningsdatum:2012-12-06
Mått:152 x 229 x 12 mm
Vikt:315 g
Format:Häftad
Språk:Tyska
Serie:Teubner Texte zur Physik
Antal sidor:209
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783322964281

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Teknik: allmänt inom Naturvetenskap och teknik

Innehållsförteckning

1. Introduction.- 1.1. Types and Classification of Phase Transitions.- 1.2. Thermodynamic and Experimental Conditions for Supersaturated Vapour States.- 1.3. Outline of Classical Nucleation Theory.- 1.4. Nucleation in a Lattice Gas Model.- 2. Thermodynamics of Heterogeneous Systems.- 2.1. Thermodynamic Premises of Classical Nucleation Theory.- 2.2. Gibbs’ Theory of Heterogeneous Systems.- 2.3. Curvature Dependence of Surface Tension.- 2.4. Heterogeneous Systems in Non-Equilibrium States and the Principle of Inner Equilibrium.- 3. Thermodynamics and Nucleation in Finite Systems.- 3.1. The Work of Formation of Clusters.- 3.2. Equilibrium States and the Conditions for Stability of the Clusters.- 3.3. Critical Thermodynamic Parameters for Nucleation in Finite Systems.- 3.4. The Work of Formation of Critical Clusters.- 3.5. Parameters of the Critical Cluster in Dependence on the System Size.- 3.6. Formation of a Droplet Ensemble in Finite Systems.- 4. Kinetics of Phase Transitions in Finite Systems — A Stochastic Approach.- 4.1. Free Energy of the Cluster Distribution.- 4.2. Kinetic Assumptions and Master Equation.- 4.3. Results of Computer Simulations.- 4.4. Probability Distribution and Mean First Passage Time.- 4.5. Mean Values for the Number of Clusters — Fokker-Planck Equation.- 5. Kinetics of Growth of a New Phase — A Deterministic Description.- 5.1. General Scenario of First-Order Phase Transition in Finite Systems.- 5.2. Nucleation in Finite Systems — The Quasi-Steady-State-Approximation.- 5.3. Deterministic Growth Equations.- 5.4. Simultaneous Description of Nucleation and Growth.- 5.5. Curvature Dependence of Surface Tension and the Scenario of First-Order Phase Transitions.- 5.6. Further Applications.- 6. Theory of Ostwald Ripening.- 6.1. BasicEquations.- 6.2. The Lifshitz-Slyozov Theory.- 6.3. Thermodynamic Aspects of Ostwald Ripening in Solids and Liquid Solutions.- 6.4. A New Method of Kinetic Description of Ostwald Ripening.- 6.5. Ostwald Ripening and the Relations to the Theory of Self-Organization.- 7. Growth of Bubbles in Finite Systems.- 7.1. The Model.- 7.2. Thermodynamic Analysis.- 7.3. Kinetic Description of Nucleation and Growth of Bubbles.- 7.4. Applications to Liquid-Gas Solutions and Multicomponent Systems.- 8. Nucleation and Growth in Elastic and Viscoelastic Media.- 8.1. Derivation of a Growth Equation for Clusters in Elastic Media.- 8.2. Models for the Calculation of Elastic Strains.- 8.3. Formation and Growth of Single Clusters in Elastic Media.- 8.4. Ostwald Ripening in Elastic and Viscoelastic Media.- References.