Lecture 39 of 65Week 8
Interacting System - Part II
Prof. Dipanjan Chakraborty · IISER Mohali
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- Statistical Mechanics, IISER Mohali (at NPTEL)
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All the lectures
- Introduction to Thermodynamics
- Laws of Thermodynamics
- Second Law of Thermodynamics and Heat Engines
- Entropy, Clausius Inequality, Thermodynamic Processes and Systems
- Extensivity of Entropy and Internal Energy, Gibbs Duhem relation
- Exact and Inexact differentials, Legendre Transformation
- Free Energy in Thermodynamics
- Maxwell's relations - Part I
- Maxwell's relations - Part II
- Maxwell's relations - Part III.
- Response Functions and manipulating Partial Derivatives
- Working With Thermodynamics.
- Joule Expansion and Joule Thomson Effect
- Stability of Thermodynamic Potentials
- Consequences of Stability of Thermodynamic Potentials
- Conditions of Equilibrium and Gibbs Phase Rule
- Introduction to Probability
- Discrete and Continuous Distributions
- Central Limit Theorem and Statistical Entropy
- Classical Probability Density and Liouville Equation
- Classical Probability Density, Ergodicity and Microcanonical Ensemble
- Microcanonical Ensemble
- Examples of Microcanonical Ensemble- Two Level System
- Examples of Microcanonical Ensemble- Magnetic System and Ideal Gas - Part I
- Examples of Microcanonical Ensemble- Magnetic System and Ideal Gas - Part II
- Examples of Microcanonical Ensemble - Ultra-Relativistic Gas
- Microcanonical Ultrarelativistic Gas and Quantum Solid
- Microcanonical Excluded Volume
- Canonical Ensemble
- Canonical Ensemble Paramagnet
- Canonical Ensemble Ideal Gas
- Canonical Ensemble Einstein Solid
- Grand Canonical Ensemble
- Grand Canonical Ensemble Ideal Gas - Part I
- Grand Canonical Ensemble Ideal Gas - Part II
- MicroCanonical to Canonical - Part I
- MicroCanonical to Canonical - Part II
- Interacting System - Part I
- Interacting System - Part II
- Van-Der Waals Equation of State
- Quantum Statistical Mechanics Density Matrix
- Density Matrix in different Ensembles
- Free Particle Quantum Canonical Partition Function Free
- Single Particle Quantum Partition Function Harmonic Oscillator - Part I
- Single Particle Quantum Partition Function Harmonic Oscillator - Part II
- Wigner Transformation
- N - Particle partition function
- Canonical Formulation of Ideal Gas
- Grand Canonical Formulation of Ideal Gas
- High Temperature Expansion
- Degenerate Fermi Gas
- Ideal Fermi Gas close to T=0, Chemical Potential and Specific Heat
- Relativistic Fermi Gas at T=0
- Ideal Bose Gas
- Bose-Einstein Condensation
- Pressure of an Ideal Bose Gas
- Specific Heat of an Ideal Bose Gas - Part 01
- Specific Heat of an Ideal Bose Gas - Part 02
- Bose-Einstein Condensation in a Harmonically Trapped Bose Gas
- Specific Heat of a Harmonically Trapped Bose Gas
- General Treatment of a Bose gas - Part 01
- General Treatment of a Bose gas - Part 02
- Discontinuity in the Specific Heat of a Bose Gas - Part 01
- Discontinuity in the Specific Heat of a Bose Gas - Part 02
- Ultra Relativistic Bose Gas Stefan Boltzmann Law