MONTE CARLO - BASICS.pdf
(552.68 KB)
AN INTRODUCTION TO MONTE CARLO SIMULATIONS IN STATISTICAL PHYSICS.pdf
(797.95 KB)
(Submitted on 10 Apr 2001 (v1), last revised 17 Dec 2003 (this version, v5))
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.
| Comments: | 66 pages; 11 figures; extensively revised; contains several new topics |
| Subjects: | Statistical Mechanics (cond-mat.stat-mech); Computational Physics (physics.comp-ph) |
| Cite as: | arXiv:cond-mat/0104167 [cond-mat.stat-mech] |
| (or arXiv:cond-mat/0104167v5 [cond-mat.stat-mech] for this version) |


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