Part 3: Phase Transitions
Phase Transitions
Ehrenfest classification, Landau theory, order parameters, and symmetry breaking
Ising Model
1D exact solution, transfer matrix, 2D Onsager solution, and Monte Carlo simulation
Mean Field Theory
Weiss molecular field, Bragg-Williams, Curie-Weiss law, and Landau expansion
Critical Phenomena
Critical exponents, scaling relations, universality classes, and Ginzburg criterion