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Course11510612665 lectures

Statistical Mechanics

Prof. Dipanjan Chakraborty · IISER Mohali

Start with lecture 1 At NPTEL

Lectures

Week 1

  1. Introduction to Thermodynamics Video
  2. Laws of Thermodynamics Video
  3. Second Law of Thermodynamics and Heat Engines Video
  4. Entropy, Clausius Inequality, Thermodynamic Processes and Systems Video

Week 2

  1. Extensivity of Entropy and Internal Energy, Gibbs Duhem relation Video
  2. Exact and Inexact differentials, Legendre Transformation Video
  3. Free Energy in Thermodynamics Video
  4. Maxwell's relations - Part I Video
  5. Maxwell's relations - Part II Video

Week 3

  1. Maxwell's relations - Part III. Video
  2. Response Functions and manipulating Partial Derivatives Video
  3. Working With Thermodynamics. Video
  4. Joule Expansion and Joule Thomson Effect Video
  5. Stability of Thermodynamic Potentials Video
  6. Consequences of Stability of Thermodynamic Potentials Video

Week 4

  1. Conditions of Equilibrium and Gibbs Phase Rule Video
  2. Introduction to Probability Video
  3. Discrete and Continuous Distributions Video
  4. Central Limit Theorem and Statistical Entropy Video
  5. Classical Probability Density and Liouville Equation Video

Week 5

  1. Classical Probability Density, Ergodicity and Microcanonical Ensemble Video
  2. Microcanonical Ensemble Video
  3. Examples of Microcanonical Ensemble- Two Level System Video
  4. Examples of Microcanonical Ensemble- Magnetic System and Ideal Gas - Part I Video
  5. Examples of Microcanonical Ensemble- Magnetic System and Ideal Gas - Part II Video

Week 6

  1. Examples of Microcanonical Ensemble - Ultra-Relativistic Gas Video
  2. Microcanonical Ultrarelativistic Gas and Quantum Solid Video
  3. Microcanonical Excluded Volume Video
  4. Canonical Ensemble Video
  5. Canonical Ensemble Paramagnet Video
  6. Canonical Ensemble Ideal Gas Video
  7. Canonical Ensemble Einstein Solid Video

Week 7

  1. Grand Canonical Ensemble Video
  2. Grand Canonical Ensemble Ideal Gas - Part I Video
  3. Grand Canonical Ensemble Ideal Gas - Part II Video
  4. MicroCanonical to Canonical - Part I Video
  5. MicroCanonical to Canonical - Part II Video
  6. Interacting System - Part I Video

Week 8

  1. Interacting System - Part II Video
  2. Van-Der Waals Equation of State Video
  3. Quantum Statistical Mechanics Density Matrix Video
  4. Density Matrix in different Ensembles Video
  5. Free Particle Quantum Canonical Partition Function Free Video

Week 9

  1. Single Particle Quantum Partition Function Harmonic Oscillator - Part I Video
  2. Single Particle Quantum Partition Function Harmonic Oscillator - Part II Video
  3. Wigner Transformation Video
  4. N - Particle partition function Video
  5. Canonical Formulation of Ideal Gas Video

Week 10

  1. Grand Canonical Formulation of Ideal Gas Video
  2. High Temperature Expansion Video
  3. Degenerate Fermi Gas Video
  4. Ideal Fermi Gas close to T=0, Chemical Potential and Specific Heat Video
  5. Relativistic Fermi Gas at T=0 Video

Week 11

  1. Ideal Bose Gas Video
  2. Bose-Einstein Condensation Video
  3. Pressure of an Ideal Bose Gas Video
  4. Specific Heat of an Ideal Bose Gas - Part 01 Video
  5. Specific Heat of an Ideal Bose Gas - Part 02 Video
  6. Bose-Einstein Condensation in a Harmonically Trapped Bose Gas Video

Week 12

  1. Specific Heat of a Harmonically Trapped Bose Gas Video
  2. General Treatment of a Bose gas - Part 01 Video
  3. General Treatment of a Bose gas - Part 02 Video
  4. Discontinuity in the Specific Heat of a Bose Gas - Part 01 Video
  5. Discontinuity in the Specific Heat of a Bose Gas - Part 02 Video
  6. Ultra Relativistic Bose Gas Stefan Boltzmann Law Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IISER Mohali
Department
Physics
Teacher
Prof. Dipanjan Chakraborty
Level
Undergraduate
Language
English
Subjects
Physics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge. Coordinated by IIT Madras.
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