Applications of the Monte Carlo Method in Statistical Physics

1. A Simple Introduction to Monte Carlo Simulation and Some Specialized Topics.- 1.1 A First Guide to Monte Carlo Sampling.- 1.2 Special Topics.- 1.3 Conclusion.- Appendix. 1.A. Multispin Coding.- References.- Notes Added in Proof.- 2. Recent Developments in the Simulation of Classical Fluids.- 2.1 Some Recent Methodological Developments.- 2.2 Simple Monatomic Fluids.- 2.3 Coulombic Systems.- 2.4 Molecular Liquids.- 2.5 Solutions.- 2.6 Surfaces and Interfaces.- 2.7 Conclusion.- References.- 3. Monte Carlo Studies of Critical and Multicritical Phenomena.- 3.1 Two-Dimensional Lattice-Gas Ising Models.- 3.2 Surfaces and Interfaces.- 3.3 Three-Dimensional Binary-Alloy Ising Models.- 3.4 Potts Models.- 3.5 Continuous Spin Models.- 3.6 Dynamic Critical Behavior.- 3.7 Other Models.- 3.8 Conclusion and Outlook.- References.- 4. Few- and Many-Fermion Problems.- 4.1 Review of the GFMC Method.- 4.2 The Short Time Approximation.- 4.3 The Fermion Problem and the Method of Transient Estimation.- 4.4 The Fixed Node Approximation.- 4.5 An Exact Solution for Few-Fermion Systems.- 4.6 Speculations and Conclusions.- References.- 5. Simulations of Polymer Models.- 5.1 Background.- 5.2 Variants of the Monte Carlo Sampling Techniques.- 5.3 Equilibrium Configurations.- 5.4 Polymer Dynamics.- 5.5 Conclusions and Outlook.- References.- 6. Simulation of Diffusion in Lattice Gases and Related Kinetic Phenomena.- 6.1 General Aspects of Monte Carlo Approaches to Dynamic Phenomena.- 6.2 Diffusion in Lattice-Gas Systems in Equilibrium.- 6.3 Diffusion and Domain Growth in Systems far from Equilibrium.- 6.4 Conclusion.- References.- 7. Roughening and Melting in Two Dimensions.- 7.1 Introductory Remarks.- 7.2 Roughening Transition.- 7.3 Melting Transition.- References.- 8. Monte Carlo Studies of"Random" Systems.- 8.1 General Introduction.- 8.2 Spin Glasses.- 8.3 Other Systems with Random Interactions.- 8.4 Percolation Theory.- 8.5 Conclusion.- References.- Note Added in Proof.- 9. Monte Carlo Calculations in Lattice Gauge Theories.- 9.1 Lattice Gauge Theories: Fundamental Notions.- 9.2 General Monte Carlo Results for Lattice Gauge Systems.- 9.3 Monte Carlo Determination of Physical Observables.- References.- Additional References with Titles.