Statistical Mechanics I: Statistical Mechanics of Particles

Video Lectures

Displaying all 26 video lectures.
I. Thermodynamics
Lecture 1
Thermodynamics I: The Zeroth & First Laws
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Thermodynamics I: The Zeroth & First Laws
Topics: Fundamental Definitions, The Zeroth Law, The First Law
Lecture 2
Thermodynamics II: The Second Law & Carnot Engines
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Thermodynamics II: The Second Law & Carnot Engines
Topics: The Second Law, Carnot Engines and Thermodynamic Temperature, Entropy
Lecture 3
Thermodynamics III: Thermodynamic Potentials
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Thermodynamics III: Thermodynamic Potentials
Topics: Approach to Equilibrium and Thermodynamic Potentials, Useful Mathematical Results
Lecture 4
Thermodynamics IV: Third Law of Thermodynamics
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Thermodynamics IV: Third Law of Thermodynamics
Topics: Stability Conditions, The Third Law
II. Probability
Lecture 5
Probability I: Randonm Variables and Probability Distributions
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Probability I: Randonm Variables and Probability Distributions
Topics: General Definitions, One Random Variable, Some Important Probability Distributions
Lecture 6
Probability II: The Central Limit Theorem
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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
Lecture 7
Kinetic Theory of Gases I: Liouville's Theorem
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Kinetic Theory of Gases I: Liouville's Theorem
Topics: General Definitions, Liouville's Theorem
Lecture 8
Kinetic Theory of Gases II: The Boltzmann Equation
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Kinetic Theory of Gases II: The Boltzmann Equation
Topics: The Bogoliubov-Born-Green-Kirkwood-Yvon Hierarchy, The Boltzmann Equation
Lecture 9
Kinetic Theory of Gases III: H-Theorem and Irreversibility
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Kinetic Theory of Gases III: H-Theorem and Irreversibility
Topics: The H-Theorem and Irreversibility, Equilibrium Properties
Lecture 10
Kinetic Theory of Gases IV: Conservation Laws
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Kinetic Theory of Gases IV: Conservation Laws
Lecture 11
Kinetic Theory of Gases V: Zeroth & First Orders of Hydrodynamics
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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
Lecture 12
Classical Statistical Mechanics I: The Microcanonical Ensemble
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Classical Statistical Mechanics I: The Microcanonical Ensemble
Topics: General Definitions, The Microcanonical Ensemble, Two-Level Systems
Lecture 13
Classical Statistical Mechanics II: Mixing Entropy and Gibbs' Paradox
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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
Lecture 14
Classical Statistical Mechanics III: The Gibbs & Grand Canonical Ensembles
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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
Lecture 15
Interacting Particles I: The Cumulant Expansion
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Interacting Particles I: The Cumulant Expansion
Lecture 16
Interacting Particles II: The Cluster Expansion
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Interacting Particles II: The Cluster Expansion
Lecture 17
Interacting Particles III: Van der Waals Equation
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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
Lecture 18
Interacting Particles IV: Critical Point Behavior
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Interacting Particles IV: Critical Point Behavior
Topics: Variational Methods, Corresponding States, Critical Point Behavior
VI. Quantum Statistical Mechanics
Lecture 19
Interacting Particles V: Mean field theory of Condensation
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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)
Lecture 20
Quantum Statistical Mechanics I: Vibrations of a Solid
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Quantum Statistical Mechanics I: Vibrations of a Solid
Topics: Dilute Polyatomic Gases, Vibrations of a Solid, Black-body Radiation
Lecture 21
Quantum Statistical Mechanics II: Microstates & Macrostates
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Quantum Statistical Mechanics II: Microstates & Macrostates
Topics: Quantum Microstates, Quantum Macrostates
VII. Ideal Quantum Gases
Lecture 22
Ideal Quantum Gases I: Hilbert Space of Identical Particles
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Ideal Quantum Gases I: Hilbert Space of Identical Particles
Lecture 23
Ideal Quantum Gases II: Grand Canonical Formulation
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Ideal Quantum Gases II: Grand Canonical Formulation
Topics: Canonical Formulation, Grand Canonical Formulation
Lecture 24
Ideal Quantum Gases III: The Degenerate Fermi Gas
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Ideal Quantum Gases III: The Degenerate Fermi Gas
Lecture 25
Ideal Quantum Gases IV: The Degenerate Bose Gas
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Ideal Quantum Gases IV: The Degenerate Bose Gas
Lecture 26
Ideal Quantum Gases V: Superfluid He4
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Ideal Quantum Gases V: Superfluid He4