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Lecture
Statistical Distribution in Canonical and Grand-Canonical Ensembles
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Quantum Statistics: Canonical & Grand Canonical Ensembles
Explores quantum statistics in canonical and grand canonical ensembles, discussing distinguishability, microstates, and the Pauli exclusion principle.
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Explores sampling the canonical ensemble, temperature fluctuations, extended Lagrangian, and molecular dynamics control of temperature.
Bayesian Estimation: Unsupervised Learning & MCMC
Explores Bayesian estimation for unsupervised learning and MCMC, using a Spin Glass Card game example.
Kinetic Theory of Gases: Statistical Distribution and Perfect Gas
Explores statistical distribution, perfect gas, equipartition principle, and virial theorem in gases.
Atomistic Computer Modelling of Materials: Simulating and Sampling
Covers simulating and sampling in atomistic computer modelling of materials.
Bose-Einstein Statistics: Derivation and Applications
Explores the derivation and application of Fermi and Bose statistics in different ensembles.
Statistical Mechanics: Microscopic-Macroscopic Systems
Explores the link between microscopic and macroscopic systems, ensembles, probability distributions, entropy, and energy distribution.
Statistical Physics: Systems Isolation
Explores statistical physics concepts in isolated systems, focusing on entropy and disorder.
Canonical Distribution: Gibbs Entropy and Ensembles
Explores the derivation of the canonical distribution based on Gibbs's entropy and a maximum entropy principle.
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Covers Monte Carlo simulations, ensemble properties, and numerical integration techniques.
