Grand canonical ensemble

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Related lectures (31)

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Canonical Ensemble: Partition Function and Ideal Gas

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

Paramagnetism: Microcanonical vs Canonical Treatment

Delves into the microcanonical and canonical treatment of paramagnetism in external fields.

Metastable Materials: New Perspectives on Discovery

Explores challenges in identifying useful metastable materials and discusses concepts like structure predictions, ensemble probabilities, and mapping algorithms.

Path integrals and statistical mechanics

Explores path integral methods, partition functions, Trotter factorization, quantum-classical isomorphism, and multidimensional generalization in statistical mechanics.

Monte Carlo Simulations

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

Thermodynamics and phase space sampling

Covers the computation of observables through probability distributions and the significance of efficient importance sampling in simulations.

Quantum Statistics: Canonical & Grand Canonical Ensembles

Explores quantum statistics in canonical and grand canonical ensembles, discussing distinguishability, microstates, and the Pauli exclusion principle.

Bose-Einstein Statistics: Derivation and Applications

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

Statistical Distribution in Canonical and Grand-Canonical Ensembles

Covers the statistical distribution in canonical and grand-canonical ensembles, focusing on the bathed system.

Boltzmann Distribution & Thermodynamic Ensembles

Explores Boltzmann distribution, quantum particles, thermodynamic ensembles, and ensemble sampling methods.