 Phase Transitions: General concepts of phase transitions, order parameter, continuous transition, LandauGinzburg (LG) theory, concept of critical phenomena, critical exponents, Examples: mean field treatment of Ising model, etc.
., LG theory for 1st order transition.
 Models: Exact solution of 1D Ising model by transfer matrix method, Discussion of 2D Ising, Potts model, etc.
 Partition function and etc: Partition function and LG theory from the point of view of functional integral ( An example can be given in the context of Ising model)
 Symmetry breaking: Continuous symmetry breaking and sound mode, correlation function and correlation length, Example: Heisenberg system, O(N) model
 Fluctuations: Fluctuation phenomena: Gaussian fluctuations, Ginzburg criteria, upper and lower critical dimensions, MerminWagner theorem.
 BKT transition in 2D, xy model
 Liquids: pair correlation function, structure factor, etc.
 Linear response theory: Introduction, diffusion, fluctuationdissipation
 Applications: Phase transition in liquid crystal, polymer physics, colloids, Superfluidity and LG theory of superconductivity
