Topic 01
From Dilute Gases to Phase Transitions
04:08Lecture 10 · 12 Oct 2026 · Recording part 20
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PHYS5510 · Chapter collection
Chapter 5: Phase Transitions I: van der Waals Gas
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.
335 topics1:57:5916:02 totalEnglish · 简体中文 · 繁體中文
Complete script:
Complete script:
Topic 02
Thermodynamic Limit and Stability
02:06Lecture 10 · 12 Oct 2026 · Recording part 21
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Topic 03
Andrews, Coexistence, and the Critical Endpoint
05:04Lecture 10 · 12 Oct 2026 · Recording part 22
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Topic 04
Transition Order and Thermodynamic Potentials
05:54Lecture 10 · 12 Oct 2026 · Recording part 23
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Topic 05
Mean Field: Free Energy and Excluded Volume
02:12Lecture 10 · 12 Oct 2026 · Recording part 24
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Topic 06
Mean Field: Attractive Energy and Pair Counting
03:53Lecture 10 · 12 Oct 2026 · Recording part 25
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Topic 07
The van der Waals Equation and the Virial Match
03:02Lecture 10 · 12 Oct 2026 · Recording part 26
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Topic 08
Isotherms and the Emerging Critical Point
02:30Lecture 10 · 12 Oct 2026 · Recording part 27
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Topic 09
Midterm Scope and Exam Arrangements
06:00Lecture 11 · 14 Oct 2026 · Recording part 1
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Topic 10
From Virial Expansion to Finite Systems
01:17Lecture 11 · 14 Oct 2026 · Recording part 2
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Topic 11
Why Finite Spin Systems Have Analytic Free Energy
02:01Lecture 11 · 14 Oct 2026 · Recording part 3
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Topic 12
Hard Cores and the Finite-Volume Particle Cutoff
04:31Lecture 11 · 14 Oct 2026 · Recording part 4
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Topic 13
Analytic Pressure and the Apparent Coexistence Paradox
04:39Lecture 11 · 14 Oct 2026 · Recording part 5
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Topic 14
Transition Order and Particle-Number Fluctuations
02:25Lecture 11 · 14 Oct 2026 · Recording part 6
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Topic 15
The Pressure Derivative and Its Sign
03:26Lecture 11 · 14 Oct 2026 · Recording part 7
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Topic 16
Flattening the Isotherm in the Thermodynamic Limit
04:22Lecture 11 · 14 Oct 2026 · Recording part 8
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Topic 17
Fluctuations at Liquid–Gas Coexistence
02:25Lecture 11 · 14 Oct 2026 · Recording part 9
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Topic 18
Comparing van der Waals and Physical Isotherms
03:20Lecture 11 · 14 Oct 2026 · Recording part 10
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Topic 19
The Cubic Equation and Multiple Solutions
02:16Lecture 11 · 14 Oct 2026 · Recording part 11
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Topic 20
Critical Inflection Conditions and the Phase Diagram
04:32Lecture 11 · 14 Oct 2026 · Recording part 12
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Topic 21
The Positive-Slope Branch and the Stability Question
02:04Lecture 11 · 14 Oct 2026 · Recording part 13
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Topic 22
Negative Compressibility and Homogeneous Instability
02:36Lecture 11 · 14 Oct 2026 · Recording part 14
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Topic 23
Replacing an Unstable Homogeneous State with Two Phases
03:11Lecture 11 · 14 Oct 2026 · Recording part 15
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Topic 24
Binodal, Spinodal, and the Critical Endpoint
04:58Lecture 11 · 14 Oct 2026 · Recording part 16
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Topic 25
Metastable, Stable, and Unstable States
02:13Lecture 11 · 14 Oct 2026 · Recording part 17
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Topic 26
Following the Physical Coexistence Isotherm
01:04Lecture 11 · 14 Oct 2026 · Recording part 18
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Topic 27
Maxwell’s Equal-Area Construction
03:31Lecture 11 · 14 Oct 2026 · Recording part 19
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Topic 28
Critical Values and the Coexistence–Stability Distinction
03:29Lecture 11 · 14 Oct 2026 · Recording part 20
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Topic 29
Two Chambers and Spontaneous Symmetry Breaking
04:53Lecture 11 · 14 Oct 2026 · Recording part 21
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Topic 30
Landau Expansion and the Splitting of Free-Energy Minima
06:07Lecture 11 · 14 Oct 2026 · Recording part 22
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Topic 31
Order Parameters and Chapter 5 Exercises
02:06Lecture 11 · 14 Oct 2026 · Recording part 23
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Topic 32
Critical Universality and Corresponding States
04:46Lecture 11 · 14 Oct 2026 · Recording part 24
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Topic 33
Near-Critical Variables and the Leading Equation of State
06:58Lecture 11 · 14 Oct 2026 · Recording part 25
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Topic 01
What makes a phase transition?
03:05
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Topic 02
Build the van der Waals fluid
03:17
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Topic 03
Select coexistence by free energy
03:42
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Topic 04
Derive the mean-field critical laws
03:29
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Topic 05
Test the model against fluctuations
02:28
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