Lectures related to Statistical Thermodynamics: Partition Function and Stirling Approximation

Ensembles and Partition Functions

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

Heat Capacity and Degrees of Freedom in Thermodynamics

Covers heat capacity, degrees of freedom, and their implications in thermodynamics.

Thermal Energy and Degrees of Freedom

Explores energy equipartition in ideal gases, heat capacity, and thermodynamic transformations.

Canonical Ensemble: Partition Function and Ideal Gas

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

Path Integral Methods: Efficient Energy Estimators

Covers advanced path integral methods for deriving efficient energy estimators in molecular dynamics simulations.

Statistical Thermodynamics: Sackur-Tetrode Equation

Explores the Sackur-Tetrode equation, characteristic temperature, and symmetry in molecules.

Calorimetry: Properties of Ideal Gases

Provides an overview of calorimetry and the thermodynamic properties of ideal gases, including their state equations and heat capacities.

Thermophysical Properties: Models and Applications

Explores classical and quantum models to understand heat capacity in solids and discusses the relation between heat capacities at constant volume and pressure.

Statistical Thermodynamics: Boltzmann Distribution

Covers the Boltzmann distribution in statistical thermodynamics, focusing on the harmonic oscillator system and analyzing state occupancy with varying temperatures.

Path Integral Methods: Convergence and Computational Techniques

Covers path integral methods, focusing on convergence and computational techniques for quantum systems.

First Law of Thermodynamics: Energy Conservation

Explores the conservation of energy in thermodynamic systems through heat and work interactions, introducing internal energy, enthalpy, and heat capacity.

Statistical Thermodynamics: Energy States and Convolution

Covers energy states and convolution in statistical thermodynamics, with an example on Benzene.

Thermodynamics: Energy Transformation

Covers energy transformation in thermodynamics, discussing laws, entropy, and spontaneity criteria for reactions.

Statistical Thermodynamics: Density of States

Explores density of states in statistical thermodynamics and the use of Heaviside functions for energy level probabilities.

Internal Energy and Specific Heat

Covers the calculation of internal energy and specific heat for gases, electrons, phonons, and photons.

Statistical Thermodynamics

Explores the derivation of internal energy from the partition function and the concept of entropy in statistical thermodynamics.

Thermodynamics: Internal Energy and Heat Capacity

Covers internal energy, heat capacity, and their roles in thermodynamics.

Statistical Thermodynamics: Microcanonical and Canonical Ensembles

Explores the microcanonical and canonical ensembles, historical contributions, macrostates, microstates, and particle arrangements in statistical thermodynamics.

Statistical Thermodynamics: Degeneracies and Laplace Transform

Covers degeneracies in statistical thermodynamics and the Laplace transform.

States of Matter: Compressibility and Thermal Expansion

Explores compressibility, thermal expansion, and specific heat capacity of materials.