Transcription of Lecture notes on Monte Carlo simulations - umu.se
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Lecture notes on Monte Carlo simulations - umu.se
Lecture notes onMonte Carlo simulationsPeter OlssonApril 4, 2022iiContents1 Buffon s needle .. Models in Physics .. Different kinds of Monte Carlo simulations .. 32 Random variables and Distributions .. Estimation .. Error estimates of averages variance of the mean .. Generating random variables .. Sampling a distribution with Markovchains .. 173 The Lennard-Jones Summary of different ensembles .. Gibbs entropy formula .. Monte Carlo versus Molecular Dynamics.
• Markov Chain Monte Carlo. This is a method that is very useful in statistical physics where we want the configurations to appear with a probability proportional to the Boltzmann factor. This is achieved by constructing a Markov chain with the desired property. Monte Carlo in statistical physics is a big field that has exploded into a ...
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