Monte Carlo Methods in Statistical Physics

1. Introduction: Theory and "Technical" Aspects of Monte Carlo Simulations (With 5 Figures).- 1.1 Purpose of the Monte Carlo Method.- 1.2 Description of the Monte Carlo Technique in Classical Statistical Mechanics.- 1.3 Aspects of Simulations of Kinetic Processes.- 1.4 Variants of the Monte Carlo Method.- 1.5 Conclusions.- References.- Addendum.- 2. Simulation of Classical Fluids..- 2.1 Overview.- 2.2 Hard Core and Discontinous Potentials.- 2.3 Soft Short-Range Potentials.- 2.4 Ionic Systems.- 2.5 Molecular Fluids.- 2.6 Gas-Liquid Interface.- References.- 3. Phase Diagrams of Mixtures and Magnetic Systems (With 13 Figures).- 3.1 Ordinary Phase Transitions in Magnets and Binary Alloys.- 3.2 Multicritical Points and Crossover Behavior.- 3.3 Phase Transitions in Miscellaneous Systems.- 3.4 Conclusions.- References.- Addendum.- 4. Quantum Many-Body Problems (With 4 Figures).- Abstract.- 4.1 Introductory Remarks.- 4.2 Variational Methods.- 4.3 Nearly Classical Systems.- 4.4 The Green's Function Monte Carlo Method (GFMC).- 4.5 Virial Coefficients and Pair Correlations.- 4.6 Conclusions.- References.- 5. Simulation of Small Systems. (With 9 Figures).- 5.1 Introductory Remarks.- 5.2 Statics.- 5.3 Cluster Dynamics.- Cluster Counting Algorithm.- References.- Addendum.- 6. Monte Carlo Studies of Relaxation Phenomena: Kinetics of Phase Changes and Critical Slowing Down. (With 15 Figures).- 6.1 Introductory Remarks.- 6.2 Kinetics of Fluctuations in Thermal Equilibrium.- 6.3 Kinetics of Nonlinear Relaxation.- 6.4 Conclusions and Outlook.- References.- 7. Monte Carlo Simulation of Crystal Growth (With 17 Figures).- 7.1 Introductory Remarks.- 7.2 Crystal Surfaces at Equilibrium.- 7.3 Growth Kinetics.- 7.4 Outlook.- References.- 8. Monte Carlo Studies of Systems with Disorder(With 17 Figures).- 8.1 Dilute Impurities in Magnets.- 8.2 Dilute Ferromagnets and the Percolation Problem.- 8.3 Spin Glasses.- 8.4 Disordered Heteropolymers and Their Helix-Coil Transition.- 8.5 Structurally Disordered Solids (Glasses etc.).- 8.6 Conclusions and Outlook.- References.- 9. Applications in Surface Physics. (With 11 Figures).- 9.1 Introductory Remarks.- 9.2 Critical Behavior of Magnetic Systems with Surfaces.- 9.3 Surface Effects in Binary Alloys.- 9.4 Phase Transitions in Adsorbed Surface Layers.- 9.5 Kinetic Phenomena at Surfaces.- 9.6 Conclusions.- References.- Addendum.- 10. Recent Trends in the Development and Application of the Monte Carlo Method. (With 6 Figures).- 10.1 Performance of Monte Carlo Programs.- 10.2 Some Comments on Finite-Size Effects.- 10.3 New Directions for the Application of the Monte Carlo Method.- 10.4 Quantum Statistical Mechanics on Lattices.- 10.5 Concluding Remarks.- References.- Addendum.