Corpus ID: 2374949

Introduction to Monte Carlo Methods

@article{Katzgraber2009IntroductionTM,
  title={Introduction to Monte Carlo Methods},
  author={H. Katzgraber},
  journal={arXiv: Statistical Mechanics},
  year={2009}
}
  • H. Katzgraber
  • Published 2009
  • Physics, Mathematics
  • arXiv: Statistical Mechanics
Monte Carlo methods play an important role in scientific computation, especially when problems have a vast phase space. In this lecture an introduction to the Monte Carlo method is given. Concepts such as Markov chains, detailed balance, critical slowing down, and ergodicity, as well as the Metropolis algorithm are explained. The Monte Carlo method is illustrated by numerically studying the critical behavior of the two-dimensional Ising ferromagnet using finite-size scaling methods. In addition… Expand
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