Statistical Mechanics I: Statistical Mechanics of Particles
Video Lectures
Displaying all 26 video lectures.
I. Thermodynamics | |
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Thermodynamics I: The Zeroth & First Laws Topics: Fundamental Definitions, The Zeroth Law, The First Law |
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Thermodynamics II: The Second Law & Carnot Engines Topics: The Second Law, Carnot Engines and Thermodynamic Temperature, Entropy |
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Thermodynamics III: Thermodynamic Potentials Topics: Approach to Equilibrium and Thermodynamic Potentials, Useful Mathematical Results |
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Thermodynamics IV: Third Law of Thermodynamics Topics: Stability Conditions, The Third Law |
II. Probability | |
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Probability I: Randonm Variables and Probability Distributions Topics: General Definitions, One Random Variable, Some Important Probability Distributions |
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Probability II: The Central Limit Theorem Topics: Many Random Variables, Sums of Random Variables and the Central Limit Theorem, Rules for Large Numbers, Information, Entropy, and Estimation |
III. Kinetic Theory of Gases | |
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Kinetic Theory of Gases I: Liouville's Theorem Topics: General Definitions, Liouville's Theorem |
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Kinetic Theory of Gases II: The Boltzmann Equation Topics: The Bogoliubov-Born-Green-Kirkwood-Yvon Hierarchy, The Boltzmann Equation |
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Kinetic Theory of Gases III: H-Theorem and Irreversibility Topics: The H-Theorem and Irreversibility, Equilibrium Properties |
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Kinetic Theory of Gases IV: Conservation Laws |
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Kinetic Theory of Gases V: Zeroth & First Orders of Hydrodynamics Topics: Zeroth Order Hydrodynamics, First Order Hydrodynamics |
IV. Classical Statistical Mechanics | |
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Classical Statistical Mechanics I: The Microcanonical Ensemble Topics: General Definitions, The Microcanonical Ensemble, Two-Level Systems |
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Classical Statistical Mechanics II: Mixing Entropy and Gibbs' Paradox Topics: The Ideal Gas, Mixing Entropy and Gibbs' Paradox, The Canonical Ensemble |
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Classical Statistical Mechanics III: The Gibbs & Grand Canonical Ensembles Topics: Examples, The Gibbs Canonical Ensemble, The Grand Canonical Ensemble |
V. Interacting Particles | |
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Interacting Particles I: The Cumulant Expansion |
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Interacting Particles II: The Cluster Expansion |
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Interacting Particles III: Van der Waals Equation Topics: The Second Virial Coefficient and Van der Waals Equation, Breakdown of the Van der Waals Equation, Mean Field Theory of Condensation |
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Interacting Particles IV: Critical Point Behavior Topics: Variational Methods, Corresponding States, Critical Point Behavior |
VI. Quantum Statistical Mechanics | |
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Interacting Particles V: Mean field theory of Condensation Topics: Mean field theory of condensation, Corresponding states, Critical point behavior (from L17 & L18) |
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Quantum Statistical Mechanics I: Vibrations of a Solid Topics: Dilute Polyatomic Gases, Vibrations of a Solid, Black-body Radiation |
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Quantum Statistical Mechanics II: Microstates & Macrostates Topics: Quantum Microstates, Quantum Macrostates |
VII. Ideal Quantum Gases | |
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Ideal Quantum Gases I: Hilbert Space of Identical Particles |
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Ideal Quantum Gases II: Grand Canonical Formulation Topics: Canonical Formulation, Grand Canonical Formulation |
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Ideal Quantum Gases III: The Degenerate Fermi Gas |
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Ideal Quantum Gases IV: The Degenerate Bose Gas |
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Ideal Quantum Gases V: Superfluid He4 |