EP 413 Advanced Statistical Mechanics ( 2018-2019 )
Instructor: Amitabh Nandi Course Name: Advanced Statistical Mechanics (EP413) Course Type: Theory ( Honours / Elective ) Credits: 6 Prerequisites: No formal prerequisites, but a basic knowledge of statistical mechanics is assumed. Course Content: Part 1: Stochastic processes - Markov processes, Chapman-Kolmogorov equations, master equation, solution techniques for various master equations, W-matrix formalism, Langevin equation, Fokker-Planck equation, Ito and Stratonovich conventions of stochastic calculus, diffusion and first-passage problems. Part 2: Critical phenomena - Phase transitions, critical exponents, Yang-Lee theorems, lattice gas model, 1D Ising model and transition matrix formalism, duality relation for the 2D square lattice Ising model, mean field theories, Landau Ginzburg statistical field theory, saddle point approximation, Gaussian model, scaling hypothesis, renormalisation group (RG), position space RG...