Lectures related to Gibbs paradox

Gibbs Entropy and more Ensembles: Uncorrelated Fluctuations and Ideal Gas Law

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

Path integrals and statistical mechanics

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

Statistical Thermodynamics: Partition Functions and Quantum Statistics

Introduces partition functions, quantum statistics, and the Einstein model for molecular behavior.

Canonical Distribution: Gibbs Entropy and Ensembles

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

Statistical Thermodynamics: Sackur-Tetrode Equation

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

Thermodynamics of Interfaces

Delves into the fundamentals of interfacial chemistry, covering topics such as the Gibbs dividing plane and surface excess quantities.

Statistical Mechanics: Fundamentals

Covers the fundamentals of statistical mechanics, including system parameters, variables, and thermal equilibrium.

Existence of Gibbs measures

Explores quasilocality in statistical mechanics and the existence conditions of Gibbs measures.

Gibbs Entropy and Information Theory

Explores Gibbs's entropy, information theory, and the information content of events in non-equiprobable scenarios.

Definition of a Gibbs measures

Covers the definition of Gibbs measures, proper kernels, compatibility, phase transitions, and existence conditions.

Statistical Mechanics: Boltzmann, Bose-Einstein, and Fermi-Dirac Statistics

Discusses Boltzmann, Bose-Einstein, and Fermi-Dirac statistics in statistical mechanics.

Bose-Einstein Statistics: Derivation and Applications

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

Extremal Gibbs measures, Uniqueness

Explores extremal Gibbs measures and uniqueness in statistical mechanics, covering properties and conditions for uniqueness.

Thermodynamics: Spontaneity and Entropy

Explores spontaneity in chemical reactions, entropy, and Gibbs free energy, emphasizing the prediction of reaction spontaneity under different conditions.

Thermodynamics: Entropy and Ideal Gases

Explores entropy, ideal gases, and TDS equations in thermodynamics, emphasizing the importance of the Clausius inequality and the Carnot cycle.

Statistical Physics: Systems Isolation

Explores statistical physics concepts in isolated systems, focusing on entropy and disorder.

Entropy and Thermodynamics: Microstates and Macrostates

Covers the concepts of microstates and macrostates in thermodynamics, focusing on entropy and its implications for isolated systems.

Entropy and the Second Law of Thermodynamics

Covers entropy, its definition, and its implications in thermodynamics.