5. Monte Carlo Simulations

This chapter covers the fundamentals of Monte Carlo simulations.

Learning Outcomes: Monte Carlo Simulations

1. Understand and explain…

2. Know how to calculate …

3. Code …

• 5.1. Introduction
• 5.2. Random Numbers
• 5.3. Monte Carlo Methods
• 5.4. Sampling Methods
• 5.5. Gibbs Ensemble and Phase Coexistence
• 5.6. Phase Transitions, Finite-size Scaling and Renormalization Group
• 5.7. Variance Reduction Techniques
• 5.8. Metropolis Method
• 5.9. The Ising Model
• 5.10. Directed Monte Carlo
• 5.11. Kinetic Monte Carlo
• 5.12. Free Energy Estimation in Simulations