Part 4: Advanced Topics
Renormalization Group
Kadanoff block spins, RG flow, fixed points, and critical exponent calculation
Universality
Upper critical dimension, epsilon expansion, Wilson-Fisher fixed point, and scaling functions
Non Equilibrium
Master equation, Fokker-Planck, Langevin dynamics, and fluctuation-dissipation theorem
Fluctuation Theorems
Jarzynski equality, Crooks theorem, stochastic thermodynamics, and entropy production