A Guide to Monte Carlo Simulations in Statistical Physics [Hardcover]

Unique coverage of Monte Carlo methods for both continuum and lattice systems, explaining particularly analysis of phase transitions.This introduction to computer simulation methods in physics emphasises Monte Carlo Methods, where random numbers are used to study complex systems. It is ideal for graduate students and researchers wishing to learn about simulation, which has become a third pillar of scientific methods, complementing theory and experiment.This introduction to computer simulation methods in physics emphasises Monte Carlo Methods, where random numbers are used to study complex systems. It is ideal for graduate students and researchers wishing to learn about simulation, which has become a third pillar of scientific methods, complementing theory and experiment.Dealing with all aspects of Monte Carlo simulation of complex physical systems encountered in condensed matter physics and statistical mechanics, this book provides an introduction to computer simulations in physics. The 5th edition contains extensive new material describing numerous powerful algorithms and methods that represent recent developments in the field. New topics such as active matter and machine learning are also introduced. Throughout, there are many applications, examples, recipes, case studies, and exercises to help the reader fully comprehend the material. This book is ideal for graduate students and researchers, both in academia and industry, who want to learn techniques that have become a third tool of physical science, complementing experiment and analytical theory.1. Introduction; 2. Some Necessary Background; 3. Simple Sampling Monte Carlo Methods; 4. Importance Sampling Monte Carlo Methods; 5. More on Importance Sampling Monte Carlo Methods for Lattice Systems; 6. Off-Lattice Models; 7. Reweighting Methods; 8. Quantum Monte Carlo Methods; 9. Monte Carlo Renormalization Group Methods; 10. Non-Equilibrium and Irreversible Processes; 11. Lattice Gauge Models: A Brief Introduction; lC8