An Introduction to Monte Carlo Simulations in Statistical Physics
by K. P. N. Murthy
Publisher: arXiv 2003
Number of pages: 92
A brief introduction to the technique of Monte Carlo simulations in statistical physics is presented. The topics covered include statistical ensembles random and pseudo random numbers, random sampling techniques, importance sampling, Markov chain, Metropolis algorithm, continuous phase transition, statistical errors from correlated and uncorrelated data, finite size scaling, n-fold way, critical slowing down, blocking technique,percolation, cluster algorithms, etc.
Home page url
Download or read it online for free here:
by Josiah Willard Gibbs - Charles Scribner's Sons
Written by J. Willard Gibbs, this book was the first to bring together and arrange in logical order the works of Clausius, Maxwell, Boltzmann, and Gibbs himself. The text remains a valuable collection of fundamental equations and principles.
by S.B. Santra - Indian Institute of Technology Guwahati
This text provides a firm grounding in the laws and principles of statistical mechanics and thermodynamics that are essential to the study of physics. It presents the subject in a clear manner, and is based on the up-to-date research in the field.
by E. Ben-Naim, P. L. Krapivsky, S. Redner - Boston University
The authors discuss the development of basic kinetic approaches to more complex and contemporary systems. Among the large menu of stochastic and irreversible processes, we chose the ones that we consider to be among the most instructive.
by Ben Simons - University of Cambridge
Contents -- Preface; Chapter 1: Critical Phenomena; Chapter 2: Ginzburg-Landau Theory; Chapter 3: Scaling Theory; Chapter 4: Renormalisation Group; Chapter 5: Topological Phase Transitions; Chapter 6: Functional Methods in Quantum Mechanics.