Modules / Lectures

- Statistical Mechanics: A brief overview
- Phase Transition and Critical Phenomena
- Critical exponents and exponent inequalities
- Models and Universality
- Mean field theory
- Mean field theory for Fluids
- Critical exponent of a fluid system
- Mean field theory for magnetic systems
- Mean field equation of state and its solution
- Mean field critical exponents
- Correlation length and correlation function
- Bethe approximation
- Bethe approximation for 2d Ising model
- Landau theory of phase transition
- Critical exponents from Landau theory
- Problems and Hints 5
- References 5

- Tranfer matrix method
- Series expansion technique
- Monte Carlo method
- Scaling and renormalization
- Homogeneous Function
- Homogeneity of free energy and scaling
- Renormalization Group
- Renormalization operation
- Free energy function and correlation length
- Critical exponents, fixed point and universality
- Application of RG to 1d Ising Model
- Critical exponents of 1d Ising model
- Problems and Hints 9
- References 9

Module Name | Download |
---|