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mod04lec19 - Central Limit Theorem and Statistical Entropy
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Classroom Contents
Statistical Mechanics
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- 1 Statistical Mechanics
- 2 mod01lec01 - Introduction to Thermodynamics
- 3 mod01lec02 - Laws of Thermodynamics
- 4 mod01lec03 - Second Law of Thermodynamics and Heat Engines
- 5 mod01lec04 - Entropy, Clausius Inequality, Thermodynamic Processes and Systems
- 6 mod02lec05 - Extensivity of Entropy and Internal Energy, Gibbs Duhem relation
- 7 mod02lec06 - Exact and Inexact differentials, Legendre Transformation
- 8 mod02lec07 - Free Energy in Thermodynamics
- 9 mod02lec08 - Maxwell's relations - Part I
- 10 mod02lec09 - Maxwell's relations - Part II
- 11 mod03lec10 - Maxwell's relations - Part III
- 12 mod03lec11 - Response Functions and manipulating Partial Derivatives
- 13 mod03lec12 - Working With Thermodynamics
- 14 mod03lec13 - Joule Expansion and Joule Thomson Effect
- 15 mod03lec14 - Stability of Thermodynamic Potentials
- 16 mod03lec15 - Consequences of Stability of Thermodynamic Potentials
- 17 mod04lec16 - Conditions of Equilibrium and Gibbs Phase Rule
- 18 mod04lec17 - Introduction to Probability
- 19 mod04lec18 - Discrete and Continuous Distributions
- 20 mod04lec19 - Central Limit Theorem and Statistical Entropy
- 21 mod04lec20 - Classical Probability Density and Liouville Equation
- 22 mod05lec21 - Classical Probability Density, Ergodicity and Microcanonical Ensemble
- 23 mod05lec22 - Microcanonical Ensemble
- 24 mod05lec23 - Examples of Microcanonical Ensemble- Two Level System
- 25 mod05lec24 - Examples of Microcanonical Ensemble- Magnetic System and Ideal Gas - Part I
- 26 mod05lec25 - Examples of Microcanonical Ensemble- Magnetic System and Ideal Gas - Part II
- 27 mod06lec26 - Examples of Microcanonical Ensemble - Ultra-Relativistic Gas
- 28 mod06lec27 - Microcanonical Ultrarelativistic Gas and Quantum Solid
- 29 mod06lec28 - Microcanonical Excluded Volume
- 30 mod06lec29 - Canonical Ensemble
- 31 mod06lec30 - Canonical Ensemble Paramagnet
- 32 mod06lec31 - Canonical Ensemble Ideal Gas
- 33 mod06lec32 - Canonical Ensemble Einstein Solid
- 34 mod07lec33 - Grand Canonical Ensemble
- 35 mod07lec34 - Grand Canonical Ensemble Ideal Gas - Part I
- 36 mod07lec35 - Grand Canonical Ensemble Ideal Gas - Part II
- 37 mod07lec36 - MicroCanonical to Canonical - Part I
- 38 mod07lec37 - MicroCanonical to Canonical - Part II
- 39 mod07lec38 - Interacting System - Part I
- 40 mod08lec39 - Interacting System - Part II
- 41 mod08lec40 - Van-Der Waals Equation of State
- 42 mod08lec41 - Quantum Statistical Mechanics Density Matrix
- 43 mod08lec42 - Density Matrix in different Ensembles
- 44 mod08lec43 - Free Particle Quantum Canonical Partition Function Free
- 45 mod09lec44 - Single Particle Quantum Partition Function Harmonic Oscillator - Part I
- 46 mod09lec45 - Single Particle Quantum Partition Function Harmonic Oscillator - Part II
- 47 mod09lec46 - Wigner Transformation
- 48 mod09lec47 - N - Particle partition function
- 49 mod09lec48 - Canonical Formulation of Ideal Gas
- 50 mod10lec49 - Grand Canonical Formulation of Ideal Gas
- 51 mod10lec50 - High Temperature Expansion
- 52 mod10lec51 - Degenerate Fermi Gas
- 53 mod10lec52 - Ideal Fermi Gas close to T=0, Chemical Potential and Specific Heat
- 54 mod10lec53 - Relativistic Fermi Gas at T=0
- 55 mod11lec54 - Ideal Bose Gas
- 56 mod11lec55 - Bose-Einstein Condensation
- 57 mod11lec56 - Pressure of an Ideal Bose Gas
- 58 mod11lec57 - Specific Heat of an Ideal Bose Gas - Part 01
- 59 mod11lec58 - Specific Heat of an Ideal Bose Gas - Part 02
- 60 mod11lec59 - Bose-Einstein Condensation in a Harmonically Trapped Bose Gas
- 61 mod12lec60 - Specific Heat of a Harmonically Trapped Bose Gas
- 62 mod12lec61 - General Treatment of a Bose gas - Part 01
- 63 mod12lec62 - General Treatment of a Bose gas - Part 02
- 64 mod12lec63 - Discontinuity in the Specific Heat of a Bose Gas - Part 01
- 65 mod12lec64 - Discontinuity in the Specific Heat of a Bose Gas - Part 02
- 66 mod12lec65 - Ultra Relativistic Bose Gas Stefan Boltzmann Law
