Computer Studies of Phase Transitions and Critical Phenomena: Scientific Computation

1. Introduction.- 2. Computer Methods in the Study of Phase Transitions and Critical Phenomena.- 2.1 Statistical Mechanics and Phase Transitions.- 2.2 Numerical Simulation Techniques.- 2.3 Exact Configurational Counting and Series Expansions.- 3. Monte Carlo Pure-model Calculations.- 3.1 Critical Behavior of the Three-dimensional Ising Model.- 3.2 Phase Behavior of Ising Models with Multi-spin Interactions.- 3.3 Thermodynamics of One-dimensional Heisenberg Models.- 4. Testing Modern Theories of Critical Phenomena.- 4.1 Fluctuation-induced First-order Phase Transitions.- 4.2 Critical Phenomena at Marginal Dimensionality.- 4.3 Basic Assumptions of Critical Correlation Theories.- 5. Numerical Experiments.- 5.1 Phase Transitions in Lipid Bilayers and Biological Membranes.- 5.2 Nuclear Dipolar Magnetic Ordering and Phase Transitions.- 5.3 Phase Transitions of Adsorbed Monolayers.- 5.4 Kinetics of Growth.