Lectures in course MSE-421: Statistical mechanics

Classical Thermodynamics: Fundamentals Log in to Mediaspace to watch this video

Covers the fundamentals of classical thermodynamics, from classical mechanics to statistical mechanics, and key thermodynamic variables.

Classical Thermodynamics: Fundamentals and Principles Log in to Mediaspace to watch this video

Covers classical thermodynamics fundamentals, including boundary conditions, internal energy, entropy, and equilibrium principles.

Canonical Distribution: Gibbs Entropy and Ensembles Log in to Mediaspace to watch this video

Explores the derivation of the canonical distribution based on Gibbs's entropy and a maximum entropy principle.

Grand Canonical and Isothermal Ensembles Log in to Mediaspace to watch this video

Explores the grand canonical and isothermal isobaric ensembles and their thermodynamic implications.

Gibbs Entropy and more Ensembles: Uncorrelated Fluctuations and Ideal Gas Law Log in to Mediaspace to watch this video

Explores uncorrelated fluctuations, the ideal gas law, and the Langmuir adsorption isotherm.

Indistinguishable Particles in Quantum Mechanics Log in to Mediaspace to watch this video

Explores indistinguishable particles in quantum mechanics, discussing symmetry, density matrix, quantum statistics, exclusion principle, and particle behavior.

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.

Vibrations in Solids: Harmonic Oscillators and Phonons Log in to Mediaspace to watch this video

Explores vibrations in solids, including harmonic oscillators, phonons, and the Einstein model of heat capacity.

Vibrations and Electronic Excitations Log in to Mediaspace to watch this video

Explores phonon frequencies, heat capacity, thermal properties, vibrations in solids, free electron gas, Fermi function, and density functional theory.

Ferromagnets and the Ising Model Log in to Mediaspace to watch this video

Covers the Ising model, ferromagnetic materials, spins on a lattice, and spin correlations.

Phase Transitions in the Ising Model Log in to Mediaspace to watch this video

Explores phase transitions in the Ising model, mean magnetization, susceptibility, critical exponents, and the universality of critical exponents.

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.

Thermodynamic Principles: Equilibrium, Constraints, and Potentials Log in to Mediaspace to watch this video

Explores internal constraints, equilibrium, variational principles, thermodynamic potentials, and Maxwell relations in classical thermodynamics.

Monte Carlo Techniques: Sampling and Simulation Log in to Mediaspace to watch this video

Explores Monte Carlo techniques for sampling and simulation, covering integration, importance sampling, ergodicity, equilibration, and Metropolis acceptance.

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.

Statistical Mechanics of Liquids Log in to Mediaspace to watch this video

Explores the statistical mechanics of liquids, covering challenges in modeling, reduced distribution functions, pair correlation function, and scattering.

Pair Correlation Function and Macroscopic Properties Log in to Mediaspace to watch this video

Explores the link between pair correlation function and physical observables, providing insights into particle interactions in liquids.

Statistical Theory of Polymers Log in to Mediaspace to watch this video

Explores the statistical theory of polymers, covering indicators of polymer structure and models like freely-jointed and freely-rotating chains.

Polymer Extension: Statistical Theory of Polymers Log in to Mediaspace to watch this video

Discusses the atomic force spectroscopy of a polymer chain and its behavior under constant force.

Classical Thermodynamics: Fundamentals and Equilibrium Conditions Log in to Mediaspace to watch this video

Covers the fundamentals of classical thermodynamics, including heat capacity definitions, equilibrium conditions, and phase transitions.