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.

36 topics3:11:38 totalEnglish · 简体中文 · 繁體中文
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Topic 01

From Thermodynamics to Statistical Mechanics

07:15

Lecture 2 · 14 Sep 2026 · Original part 8

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Topic 02

Fluctuations, Phase Space, and Microscopic Dynamics

07:20

Lecture 2 · 14 Sep 2026 · Original part 9

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Topic 03

Three Ensembles and Equal A Priori Probability

09:43

Lecture 2 · 14 Sep 2026 · Original part 10

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Topic 04

Equal Probability and the Ergodic Hypothesis

10:24

Lecture 3 · 16 Sep 2026 · Original part 1

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Topic 05

Energy Shells and Boltzmann Entropy

06:24

Lecture 3 · 16 Sep 2026 · Original part 2

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Topic 06

Phase-Space Counting and the Gibbs Paradox

04:49

Lecture 3 · 16 Sep 2026 · Original part 3

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Topic 07

Thermodynamics from Entropy Derivatives

03:19

Lecture 3 · 16 Sep 2026 · Original part 4

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Topic 08

Two-Level Spins, Stirling Approximation, and Temperature

10:42

Lecture 3 · 16 Sep 2026 · Original part 5

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Topic 09

Time Averages, Integrability, and Glassy Relaxation

05:39

Lecture 3 · 16 Sep 2026 · Original part 6

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Topic 10

Rydberg Blockade and Quantum Many-Body Scars

03:24

Lecture 3 · 16 Sep 2026 · Original part 7

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Topic 11

Thermalization and the Limits of Equilibrium Assumptions

04:38

Lecture 3 · 16 Sep 2026 · Original part 8

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Topic 12

From a Heat Reservoir to Boltzmann Weights

08:02

Lecture 3 · 16 Sep 2026 · Original part 9

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Topic 13

Reservoir Assumptions and the Canonical Derivation

06:51

Lecture 3 · 16 Sep 2026 · Original part 10

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Topic 14

Partition Function and Helmholtz Free Energy

07:19

Lecture 3 · 16 Sep 2026 · Original part 11

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Topic 15

Energy Fluctuations, Heat Capacity, and Response

08:52

Lecture 3 · 16 Sep 2026 · Original part 12

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Topic 16

Worked Example: The Classical Harmonic Oscillator

06:07

Lecture 3 · 16 Sep 2026 · Original part 13

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Topic 17

Canonical Ensemble Recap and Degeneracy

06:20

Lecture 4 · 21 Sep 2026 · Original part 1

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Topic 18

Canonical Ideal Classical Gas

09:15

Lecture 4 · 21 Sep 2026 · Original part 2

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Topic 19

Particle Exchange and the Grand Canonical Ensemble

01:59

Lecture 4 · 21 Sep 2026 · Original part 3

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Topic 20

Derivation of the Grand Canonical Distribution

06:05

Lecture 4 · 21 Sep 2026 · Original part 4

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Topic 21

Grand Partition Functions and Notation

05:46

Lecture 4 · 21 Sep 2026 · Original part 5

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Topic 22

Fugacity and the Cluster Expansion

04:43

Lecture 4 · 21 Sep 2026 · Original part 6

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Topic 23

Density Fluctuations and Compressibility

04:42

Lecture 4 · 21 Sep 2026 · Original part 7

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Topic 24

Grand Canonical Ideal Gas

07:23

Lecture 4 · 21 Sep 2026 · Original part 8

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Topic 25

Cold-Atom Subsystems and Fluctuation Thermometry

03:25

Lecture 4 · 21 Sep 2026 · Original part 9

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Topic 26

Ensemble Summary and the Limits of Expansions

08:45

Lecture 4 · 21 Sep 2026 · Original part 10

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Topic 27

Integrability, Glasses, and Broken Ergodicity

06:51

Lecture 4 · 21 Sep 2026 · Original part 11

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Topic 28

Microscopic Systems and Macroscopic Reservoirs

02:27

Lecture 4 · 21 Sep 2026 · Original part 12

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Topic 29

Collision, Relaxation, and Observation Times

01:51

Lecture 4 · 21 Sep 2026 · Original part 13

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Topic 30

Examples of Fluctuation–Dissipation Relations

01:13

Lecture 4 · 21 Sep 2026 · Original part 14

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Topic 31

Symmetry in Statistical Mechanics

01:48

Lecture 4 · 21 Sep 2026 · Original part 15

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Topic 32

Critical Phenomena and Universality

01:16

Lecture 4 · 21 Sep 2026 · Original part 16

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Topic 33

Information Theory and Maximum Entropy

02:07

Lecture 4 · 21 Sep 2026 · Original part 17

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Topic 34

Monte Carlo and Finite-Size Scaling

03:43

Lecture 4 · 21 Sep 2026 · Original part 18

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Topic 35

Beyond Equilibrium Statistical Mechanics

00:24

Lecture 4 · 21 Sep 2026 · Original part 19

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Topic 36

Quantum Statistical Mechanics Preview

00:47

Lecture 4 · 21 Sep 2026 · Original part 20

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