rkrai1 / simulation

:book: Algorithms in simulation: Markov chain Monte Carlo, Hybrid Monte Carlo, Heat Bath Algorithm, Path integral, Density matrices etc.

Simulation in Physics

Illustrating various topics in classical and quantum statistical mechanics through Monte Carlo simulations .

Physical and mathematical subjects that are addressed include:

• Introduction to direct and Markov-chain Monte Carlo sampling
• Equivalence of Newton and Boltzmann mechanics, classical Monte Carlo simulations
• Entropic interactions and a liquid-gas phase transition
• Monte Carlo integration
• Quantum statistical mechanics: path integral representation of the density matrix, quantum Monte Carlo simulations
• Bose-Einstein condensation
• The Ising model of ferromagnetism

The material presented here closely follows "Statistical Mechanics: Algorithms and Computations" by W. Krauth from the École normale supérieure and "Statistical Mechanics: A Set of Lectures" by R. P. Feynman.

Reference:

1. Some resources are obtained from https://github.com/dgoekmen/Statistical-Mechanics with LISENCE retained.