Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-04-10
Physics
Condensed Matter
Statistical Mechanics
66 pages; 11 figures; extensively revised; contains several new topics
Scientific paper
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.
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