Why did we write a second edition? A minor revision of the first editionwould have been adequate to correct the (admittedly many) typographicalmistakes. However, many of the nice comments that we received from stu-dents and colleagues alike, ended with a remark of the type: "unfortunately,you don't discuss topic x".
Preface to the Second Edition
Preface
List of Symbols
1 Introduction
Part 1 Basics
2 Statistical Mechanics
2.1 Entropy and Temperature
2.2 Classical Statistical Mechanics
2.2.1 Ergodicity
2.3 Questions and Exercises
3 Monte Carlo Simulations
3.1 The Monte Carlo Method
3.1.1 Importance Sampling
3.1.2 The Metropolis Method
3.2 A Basic Monte Carlo Algorithm Preface to the Second Edition
Preface
List of Symbols
1 Introduction
Part 1 Basics
2 Statistical Mechanics
2.1 Entropy and Temperature
2.2 Classical Statistical Mechanics
2.2.1 Ergodicity
2.3 Questions and Exercises
3 Monte Carlo Simulations
3.1 The Monte Carlo Method
3.1.1 Importance Sampling
3.1.2 The Metropolis Method
3.2 A Basic Monte Carlo Algorithm
3.2.1 The Algorithm
3.2.2 Technical Details
3.2.3 Detailed Balance versus Balance
3.3 Trial Moves
3.3.1 Translational Moves
3.3.2 Orientational Moves
3.4 Applications
3.5 Questions and Exercises
4 Molecular Dynamics Simulations
4.1 Molecular Dynamics: The Idea
4.2 Molecular Dynamics: A Program
4.2.1 Initialization
4.2.2 The Force Calculation
4.2.3 Integrating the Equations of Motion
4.3 Equations of Motion
4.3.1 Other Algorithms
4.3.2 Higher-Order Schemes
4.3.3 LiouviUe Formulation of Time-Reversible Algorithms
4.3.4 Lyapunov Instability
4.3.5 One More Way to Look at the Verlet Algorithm
4.4 Computer Experiments
4.4.1 Diffusion
4.4.2 Order-Algorithm to Measure Correlations
4.5 Some Applications
4.6 Questions and Exercises
Part 2 Ensembles
Part 3 Free Energies and Phase Equilibria
Part 4 Advanced Techniques
Part 5 Appendices