I. Theory of phase transitions and critical phenomena: real-space renormalization group, momentum-space renormalization group. Applications: percolation, Ising model, Ginzburg-Landau Hamiltonian, epsilon expansion, two-dimensional XY model. Anomalous dimensions far from equilibrium.
II. Linear response theory.
III. Stochastic processes: Brownian motion, master equation, Fokker-Planck equation..
Lectures, interactive course
D. McComb, Renormalization methods: A guide for beginners, OUP.
N. Goldenfeld, Lectures on phase transitions and the renormalization group, (Frontiers in Physics).
Form of examination
Target group: MSc students, both students interested in theoretical physics as students interested in experimental physics.
Lecturer: Dr. V. Vitelli (Vincenzo)