May 22nd 2017

Statistical Mechanics: Algorithms and Computations (Coursera)

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In this course you will learn a whole lot of modern physics (classical and quantum) from basic computer programs that you will download, generalize, or write from scratch, discuss, and then hand in. Join in if you are curious (but not necessarily knowledgeable) about algorithms, and about the deep insights into science that you can obtain by the algorithmic approach.


Week 1: Monte Carlo algorithms (Direct sampling, Markov-chain sampling)

Week 2: Hard disks: From Classical Mechanics to Statistical Mechanics

Week 3: Entropic interactions and phase transitions

Week 4: Sampling and integration

Week 5: Density matrices and Path integrals (Quantum Statistical mechanics 1/3)

Week 6: Lévy Quantum Paths (Quantum Statistical mechanics 2/3)

Week 7: Bose-Einstein condensation (Quantum Statistical mechanics 3/3)

Week 8: Ising model - Enumerations and Monte Carlo algorithms

Week 9: Dynamic Monte Carlo, simulated annealing

Week 10: The Alpha and the Omega of Monte Carlo, Review, Party