Critical Phenomena and Phase transition for Ph.D. and MS students (Fall 2019)
This course is devoted to Critical Phenomena and Phase transition.
Some topics to teach are as follows:
- Thermodynamic Limit
- Finite size effects
- Phase transition
- Mean Field theory
- Renormalization Group
- Operator Product Expansion
- Course subjects and program (Download)
- Stochastic fields: Definition and classification (Download)
- Statistics of smoothed cosmic fields in perturbation theory I: Formulation and useful formulas in second-order perturbation theory (Download)
- Lecture notes on critical Phenomena provided by Prof. Vahid Karimipour
- Mean field Theory (see link)
- Effective Theory (see link)
- Lecture Notes on Thermodynamics and Statistical Mechanics (A Work in Progress), (See also this link) by Prof. Daniel Arovas.
Some of my lectures on the Board
- Ising model (Download)
- Landau Ginzburg (Download)
- Widom Scaling (Download)
- RG1 (Download)
- RG2 (Download)
- RG3 (Download)
- RG4 (Download)
- RG5 (Download)
- RG6 (Download)
- RG7 (Download)
- OPE (Download)
Exercises:
# Set 1 (Download)
# Set 2 (Download)
# Set 3 (Download)
# Set 4 (Download)
# Set 5 (Download)
# Set 6 (Download)