Part 01
Midterm Scope and Exam Arrangements
06:00
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PHYS5510 · Lecture recording
Lecture 11: Finite Systems, Liquid–Gas Coexistence, and Symmetry Breaking
Chapter 5: finite systems, fluctuations, liquid–gas coexistence, Maxwell construction, symmetry breaking, and the opening of critical scaling.
25 parts1:29:10 totalEnglish · 简体中文 · 繁體中文
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Part 02
From Virial Expansion to Finite Systems
01:17
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Part 03
Why Finite Spin Systems Have Analytic Free Energy
02:01
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Part 04
Hard Cores and the Finite-Volume Particle Cutoff
04:31
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Part 05
Analytic Pressure and the Apparent Coexistence Paradox
04:39
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Part 06
Transition Order and Particle-Number Fluctuations
02:25
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Part 07
The Pressure Derivative and Its Sign
03:26
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Part 08
Flattening the Isotherm in the Thermodynamic Limit
04:22
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Part 09
Fluctuations at Liquid–Gas Coexistence
02:25
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Part 10
Comparing van der Waals and Physical Isotherms
03:20
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Part 11
The Cubic Equation and Multiple Solutions
02:16
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Part 12
Critical Inflection Conditions and the Phase Diagram
04:32
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Part 13
The Positive-Slope Branch and the Stability Question
02:04
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Part 14
Negative Compressibility and Homogeneous Instability
02:36
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Part 15
Replacing an Unstable Homogeneous State with Two Phases
03:11
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Part 16
Binodal, Spinodal, and the Critical Endpoint
04:58
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Part 17
Metastable, Stable, and Unstable States
02:13
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Part 18
Following the Physical Coexistence Isotherm
01:04
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Part 19
Maxwell’s Equal-Area Construction
03:31
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Part 20
Critical Values and the Coexistence–Stability Distinction
03:29
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Part 21
Two Chambers and Spontaneous Symmetry Breaking
04:53
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Part 22
Landau Expansion and the Splitting of Free-Energy Minima
06:07
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Part 23
Order Parameters and Chapter 5 Exercises
02:06
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Part 24
Critical Universality and Corresponding States
04:46
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Part 25
Near-Critical Variables and the Leading Equation of State
06:58
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