English

An Introduction to Monte Carlo Simulation of Statistical physics Problem

Statistical Mechanics 2016-08-31 v5 Computational Physics

Abstract

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, cluster counting, histogram techniques, entropic/multicanonical Monte Carlo, Wang-Landau algorith and Jarzynski's identity.

Keywords

Cite

@article{arxiv.cond-mat/0104167,
  title  = {An Introduction to Monte Carlo Simulation of Statistical physics Problem},
  author = {K. P. N. Murthy},
  journal= {arXiv preprint arXiv:cond-mat/0104167},
  year   = {2016}
}

Comments

66 pages; 11 figures; extensively revised; contains several new topics

R2 v1 2026-07-22T10:19:33.477Z