NPTEL : NOC:Statistical Mechanics (2021) (Physics)

Co-ordinators : Prof. Dipanjan Chakraborty


Lecture 1 - Introduction to Thermodynamics

Lecture 2 - Laws of Thermodynamics

Lecture 3 - Second Law of Thermodynamics and Heat Engines

Lecture 4 - Entropy, Clausius Inequality, Thermodynamic Processes and Systems

Lecture 5 - Extensivity of Entropy and Internal Energy, Gibbs Duhem relation

Lecture 6 - Exact and Inexact differentials, Legendre Transformation

Lecture 7 - Free Energy in Thermodynamics

Lecture 8 - Maxwell's relations - Part I

Lecture 9 - Maxwell's relations - Part II

Lecture 10 - Maxwell's relations - Part III

Lecture 11 - Response Functions and manipulating Partial Derivatives

Lecture 12 - Working With Thermodynamics

Lecture 13 - Joule Expansion and Joule Thomson Effect

Lecture 14 - Stability of Thermodynamic Potentials

Lecture 15 - Consequences of Stability of Thermodynamic Potentials

Lecture 16 - Conditions of Equilibrium and Gibbs Phase Rule

Lecture 17 - Introduction to Probability

Lecture 18 - Discrete and Continuous Distributions

Lecture 19 - Central Limit Theorem and Statistical Entropy

Lecture 20 - Classical Probability Density and Liouville Equation

Lecture 21 - Classical Probability Density, Ergodicity and Microcanonical Ensemble

Lecture 22 - Microcanonical Ensemble

Lecture 23 - Examples of Microcanonical Ensemble - Two Level System

Lecture 24 - Examples of Microcanonical Ensemble - Magnetic System and Ideal Gas - Part I

Lecture 25 - Examples of Microcanonical Ensemble - Magnetic System and Ideal Gas - Part II

Lecture 26 - Examples of Microcanonical Ensemble - Ultra-Relativistic Gas

Lecture 27 - Microcanonical Ultrarelativistic Gas and Quantum Solid

Lecture 28 - Microcanonical Excluded Volume

Lecture 29 - Canonical Ensemble

Lecture 30 - Canonical Ensemble Paramagnet

Lecture 31 - Canonical Ensemble Ideal Gas

Lecture 32 - Canonical Ensemble Einstein Solid

Lecture 33 - Grand Canonical Ensemble

Lecture 34 - Grand Canonical Ensemble Ideal Gas - Part I

Lecture 35 - Grand Canonical Ensemble Ideal Gas - Part II

Lecture 36 - MicroCanonical to Canonical - Part I

Lecture 37 - MicroCanonical to Canonical - Part II

Lecture 38 - Interacting System - Part I

Lecture 39 - Interacting System - Part II

Lecture 40 - Van-Der Waals Equation of State

Lecture 41 - Quantum Statistical Mechanics Density Matrix

Lecture 42 - Density Matrix in different Ensembles

Lecture 43 - Free Particle Quantum Canonical Partition Function Free

Lecture 44 - Single Particle Quantum Partition Function Harmonic Oscillator - Part I

Lecture 45 - Single Particle Quantum Partition Function Harmonic Oscillator - Part II

Lecture 46 - Wigner Transformation

Lecture 47 - N-Particle partition function

Lecture 48 - Canonical Formulation of Ideal Gas

Lecture 49 - Grand Canonical Formulation of Ideal Gas

Lecture 50 - High Temperature Expansion

Lecture 51 - Degenerate Fermi Gas

Lecture 52 - Ideal Fermi Gas close to T=0, Chemical Potential and Specific Heat

Lecture 53 - Relativistic Fermi Gas at T=0

Lecture 54 - Ideal Bose Gas

Lecture 55 - Bose-Einstein Condensation

Lecture 56 - Pressure of an Ideal Bose Gas

Lecture 57 - Specific Heat of an Ideal Bose Gas - Part 1

Lecture 58 - Specific Heat of an Ideal Bose Gas - Part 2

Lecture 59 - Bose-Einstein Condensation in a Harmonically Trapped Bose Gas

Lecture 60 - Specific Heat of a Harmonically Trapped Bose Gas

Lecture 61 - General Treatment of a Bose gas - Part 1

Lecture 62 - General Treatment of a Bose gas - Part 2

Lecture 63 - Discontinuity in the Specific Heat of a Bose Gas - Part 1

Lecture 64 - Discontinuity in the Specific Heat of a Bose Gas - Part 2

Lecture 65 - Ultra Relativistic Bose Gas Stefan Boltzmann Law