Commit 0700b383 authored by Michael Wimmer's avatar Michael Wimmer
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# The Monte Carlo method
??? info "Lecture video"
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## Introduction
The Monte Carlo method is a very powerful tool of statistical physics. Monte Carlo methods are as useful as they are widespread. For example, one can also compute [molecular dynamics using Monte Carlo methods](https://en.wikipedia.org/wiki/Monte_Carlo_molecular_modeling). There's a reason it's named after Monaco's famous casino; it utilises probability and randomness. In most cases, a system is evolved to a new state which is chosen from a randomly generated ensemble of possible future states. Then, using some criteria, this new state is accepted or rejected with a certain probability. This can be used in many different areas of science, with end goals ranging from: reaching a Bose-Einstein ground state, minimizing an investment portfolio risk or [optimizing the boarding process of an airplane](https://arxiv.org/abs/0802.0733?). Considering the breadth of applications, we choose to center this second project on Monte Carlo methods.
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