Topic 01
From Thermodynamics to Statistical Mechanics
07:15Lecture 2 · 14 Sep 2026 · Recording part 8
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PHYS5510 · Chapter collection
Chapter 2: Statistical Ensembles
A topic-by-topic collection drawn from the lecture recordings. Lecture logistics, opening recaps, and closing transitions are trimmed where they interrupt the chapter.Designed explanations, worked examples, and checks in the instructor’s voice.
366 topics3:11:3824:27 totalEnglish · 简体中文 · 繁體中文
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Complete script:
Topic 02
Fluctuations, Phase Space, and Microscopic Dynamics
07:20Lecture 2 · 14 Sep 2026 · Recording part 9
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Topic 03
Three Ensembles and Equal A Priori Probability
09:43Lecture 2 · 14 Sep 2026 · Recording part 10
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Topic 04
Equal Probability and the Ergodic Hypothesis
10:24Lecture 3 · 16 Sep 2026 · Recording part 1
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Topic 05
Energy Shells and Boltzmann Entropy
06:24Lecture 3 · 16 Sep 2026 · Recording part 2
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Topic 06
Phase-Space Counting and the Gibbs Paradox
04:49Lecture 3 · 16 Sep 2026 · Recording part 3
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Topic 07
Thermodynamics from Entropy Derivatives
03:19Lecture 3 · 16 Sep 2026 · Recording part 4
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Topic 08
Two-Level Spins, Stirling Approximation, and Temperature
10:42Lecture 3 · 16 Sep 2026 · Recording part 5
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Topic 09
Time Averages, Integrability, and Glassy Relaxation
05:39Lecture 3 · 16 Sep 2026 · Recording part 6
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Topic 10
Rydberg Blockade and Quantum Many-Body Scars
03:24Lecture 3 · 16 Sep 2026 · Recording part 7
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Topic 11
Thermalization and the Limits of Equilibrium Assumptions
04:38Lecture 3 · 16 Sep 2026 · Recording part 8
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Topic 12
From a Heat Reservoir to Boltzmann Weights
08:02Lecture 3 · 16 Sep 2026 · Recording part 9
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Topic 13
Reservoir Assumptions and the Canonical Derivation
06:51Lecture 3 · 16 Sep 2026 · Recording part 10
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Topic 14
Partition Function and Helmholtz Free Energy
07:19Lecture 3 · 16 Sep 2026 · Recording part 11
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Topic 15
Energy Fluctuations, Heat Capacity, and Response
08:52Lecture 3 · 16 Sep 2026 · Recording part 12
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Topic 16
Worked Example: The Classical Harmonic Oscillator
06:07Lecture 3 · 16 Sep 2026 · Recording part 13
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Topic 17
Canonical Ensemble Recap and Degeneracy
06:20Lecture 4 · 21 Sep 2026 · Recording part 1
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Topic 18
Canonical Ideal Classical Gas
09:15Lecture 4 · 21 Sep 2026 · Recording part 2
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Topic 19
Particle Exchange and the Grand Canonical Ensemble
01:59Lecture 4 · 21 Sep 2026 · Recording part 3
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Topic 20
Derivation of the Grand Canonical Distribution
06:05Lecture 4 · 21 Sep 2026 · Recording part 4
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Topic 21
Grand Partition Functions and Notation
05:46Lecture 4 · 21 Sep 2026 · Recording part 5
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Topic 22
Fugacity and the Cluster Expansion
04:43Lecture 4 · 21 Sep 2026 · Recording part 6
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Topic 23
Density Fluctuations and Compressibility
04:42Lecture 4 · 21 Sep 2026 · Recording part 7
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Topic 24
Grand Canonical Ideal Gas
07:23Lecture 4 · 21 Sep 2026 · Recording part 8
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Topic 25
Cold-Atom Subsystems and Fluctuation Thermometry
03:25Lecture 4 · 21 Sep 2026 · Recording part 9
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Topic 26
Ensemble Summary and the Limits of Expansions
08:45Lecture 4 · 21 Sep 2026 · Recording part 10
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Topic 27
Integrability, Glasses, and Broken Ergodicity
06:51Lecture 4 · 21 Sep 2026 · Recording part 11
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Topic 28
Microscopic Systems and Macroscopic Reservoirs
02:27Lecture 4 · 21 Sep 2026 · Recording part 12
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Topic 29
Collision, Relaxation, and Observation Times
01:51Lecture 4 · 21 Sep 2026 · Recording part 13
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Topic 30
Examples of Fluctuation–Dissipation Relations
01:13Lecture 4 · 21 Sep 2026 · Recording part 14
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Topic 31
Symmetry in Statistical Mechanics
01:48Lecture 4 · 21 Sep 2026 · Recording part 15
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Topic 32
Critical Phenomena and Universality
01:16Lecture 4 · 21 Sep 2026 · Recording part 16
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Topic 33
Information Theory and Maximum Entropy
02:07Lecture 4 · 21 Sep 2026 · Recording part 17
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Topic 34
Monte Carlo and Finite-Size Scaling
03:43Lecture 4 · 21 Sep 2026 · Recording part 18
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Topic 35
Beyond Equilibrium Statistical Mechanics
00:24Lecture 4 · 21 Sep 2026 · Recording part 19
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Topic 36
Quantum Statistical Mechanics Preview
00:47Lecture 4 · 21 Sep 2026 · Recording part 20
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Topic 01
State counting and the microcanonical ensemble
07:25
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Topic 02
Canonical weights, entropy, and energy fluctuations
05:01
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Topic 03
A complete classical-gas calculation
02:14
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Topic 04
Particle exchange and measurable number fluctuations
04:30
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Topic 05
Extension: dynamics, typicality, and information
02:18
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Topic 06
Extension: symmetry, criticality, and computation
02:59
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