Statistical mechanics of spin glasses, linear response theory, non equilibrium phase transitions and pattern formation. Dissipative relativistic hydrodynamics and its problems. Definition of transport coefficients in relativity. Calculation of transport coefficients in relativistic quantum field theory with Kubo formulae.
Books and review papers, indicated during the classes.
Learning Objectives
Introduction to the Statistical Mechanics of disordered and out-of-equilibrium systems, both in non-relativistic and relativistic domain.
Prerequisites
Fundamental topics of equilibrium, classical statistical mechanics. Special relativity. Elements of quantum field theory.
Teaching Methods
Classes.
Further information
F. Becattini teaches the relativistic part of the course, P. Politi the other part.
Type of Assessment
Oral examination.
Course program
Spin glasses. Brownian motion and linear response theory. Phase transitions in far-from-equilibrium systems and pattern formation in unstable systems. Dissipative relativistic hydrodynamics and its problems. Definition of transport coefficients in relativity. Calculation of transport coefficients in relativistic quantum field theory with Kubo formulae.