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Binder K., Heermann D. Monte Carlo Simulation in Statistical Physics. An Introduction

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Binder K., Heermann D. Monte Carlo Simulation in Statistical Physics. An Introduction
5th Ed. — Springer, 2010. — 202 p. — (Graduate Texts in Physics). — ISBN: 978-3-642-03163-2, 978-3-642-26446-7, 978-3-642-03162-5.
The Monte Carlo method is a computer simulation method which uses random numbers to simulate statistical fluctuations. The method is used to model complex systems with many degrees of freedom. Probability distributions for these systems are generated numerically and the method then yields numerically exact information on the models. Such simulations may be used to see how well a model system approximates a real one or to see how valid the assumptions are in an analyical theory.
Monte Carlo Simulation in Statistical Physics deals with the computer simulation of many-body systems in condensed-matter physics and related fields of physics, chemistry and beyond, to traffic flows, stock market fluctuations, etc.). Using random numbers generated by a computer, probability distributions are calculated, allowing the estimation of the thermodynamic properties of various systems. This book describes the theoretical background to several variants of these Monte Carlo methods and gives a systematic presentation from which newcomers can learn to perform such simulations and to analyze their results. The fifth edition covers Classical as well as Quantum Monte Carlo methods. Furthermore a new chapter on the sampling of free-energy landscapes has been added. To help students in their work a special web server has been installed to host programs and discussion groups (http://wwwcp.tphys.uni-heidelberg.de).Prof. Binder wasawarded the Berni J. Alder CECAM Award for Computational Physics 2001 as well as the Boltzmann Medal in 2007.
Introduction: Purpose and Scope of This Volume, and Some General Comments.
Theoretical Foundations of the Monte Carlo Method and Its Applications in Statistical Physics.
Guide to Practical Work with the Monte Carlo Method.
Some Important Recent Developments of the Monte Carlo Methodology.
Quantum Monte Carlo Simulations: An Introduction.
Monte Carlo Methods for the Sampling of Free Energy Landscapes.
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