Canonical Ensemble: Probability Distribution

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (33)

Atomistic Computer Modelling of Materials: Simulating and Sampling Log in to Mediaspace to watch this video

Covers simulating and sampling in atomistic computer modelling of materials.

Monte Carlo Simulations Log in to Mediaspace to watch this video

Covers Monte Carlo simulations, ensemble properties, and numerical integration techniques.

Ensembles and Partition Functions Log in to Mediaspace to watch this video

Covers ensembles, partition functions, and distributions in statistical thermodynamics.

Principles of Quantum Mechanics: Wave-Particle Dualism Log in to Mediaspace to watch this video

Explores the wave-particle dualism in quantum mechanics and the quantification of energy levels in atoms.

Statistical Physics: Entropy Log in to Mediaspace to watch this video

Explores statistical physics concepts like equiprobable microstates, entropy, and canonical ensembles, with applications in quantum mechanics and semiconductor physics.

Statistical Definition of Entropy: Adatoms and Mixing Log in to Mediaspace to watch this video

Explores the statistical definition of entropy, adatoms on a surface, and mixing in a solid solution.

Bose-Einstein Statistics: Derivation and Applications Log in to Mediaspace to watch this video

Explores the derivation and application of Fermi and Bose statistics in different ensembles.

Molecular Dynamics: Sampling and Thermostats Log in to Mediaspace to watch this video

Explores molecular dynamics sampling, conservation laws, energy fluctuations, and various thermostats used for simulations.

MCMC with Metropolis Log in to Mediaspace to watch this video

Covers the implementation of Markov Chain Monte Carlo (MCMC) with the Metropolis algorithm for sampling from posterior distributions.

Canonical Ensemble: Partition Function and Ideal Gas Log in to Mediaspace to watch this video

Explores the canonical ensemble, partition function, and ideal gas properties.

Discrete Random Variables: Functions and Distributions Log in to Mediaspace to watch this video

Introduces probability mass functions for discrete random variables and various distributions, emphasizing the calculation of expectations.

Probability & Stochastic Processes Log in to Mediaspace to watch this video

Covers applied probability, stochastic processes, Markov chains, rejection sampling, and Bayesian inference methods.

Probability Theory: Random Variables and Independence Log in to Mediaspace to watch this video

Explores discrete and continuous random variables, independence, and probability functions.

Page 2 of 2