PHY6937-02: Phase Transitions and Critical Phenomena,

Spring 2017  Lecture Notes

 

LECTURE DATE           TOPIC COVERED
1 - Aug. 28
Introduction and Overview of Phase Transitions 
Home reading
Statistical Thermodynamics  (Review)
2 - Aug. 30
First and Second Order Phase Transitions; Van der Waals Equation
  3 -Sep. 6
Spontaneous Symmetry Breaking 
  4  - Sep. 11
Droplets, Crystals, Glasses
  Home reading Further Examples of Critical Phenomena
- Sep. 13  
Controlling Mean-Field Theory

6 - Sep. 18
Landau-Ginzburg Theory
7 - Sep. 20
Spatial Correlations and Ginzburg Criterion
8 - Sep. 25 Domain Walls and Surface Tension
- Sep. 27
1D Ising Model
10 - Oct. 2
Tunneling and Instantons
11 - Oct. 4
Widom Scaling
12 - Oct. 9
Quantum Critical Scaling
13 - Oct. 11
Kadanoff Scaling
14 - Oct. 16 Migdal-Kadanoff RG
Oct. 18
MID-TERM EXAM
15 - Oct. 23

Phi-4 Theory
16 - Oct. 25

Renormalization of the Gaussian Model
17 - Oct. 30
Power Counting, Relevant and Irrelevant Operators
18 - Nov. 1
Perturbation theory below d=4 and the Ginzburg region
19 - Nov. 6
4-Epsilon Expansion
20 - Nov. 8

Continuous Symmetry and Goldstone modes
22 - Nov. 13
2+Epsilon Expansion, Localization, and Asymptotic Freedom
23 - Nov. 15
Quantum Phase Transitions: Finite T vs. T=0
  24 - Nov. 20-24
THANKSGIVING
25 - Nov. 27 Quasi Long-Range Order in d=2
26 - Nov. 29 Vortices and the Berezinskii-Kosterlitz-Thouless Transition
27 - Dec. 4
Surface Roughening and the Sine-Gordon Model
29 - Dec. 6
Critical behavior at the Kosterlitz-Thouless transition
  Dec. 15 (due)
FINAL EXAM (TAKE HOME)