STATISTICAL PHYSICS I
Learning outcomes of the course unit
Knowledge of quantum statistics and phase transitions, together with their more advanced applications. Basic knowledge of the physics of disordered systems
Knowledge of the basic elements of classical statistical mechanics of equilibrium systems.
Course contents summary
Mathematical theory of (Kolmogorov's axiomatic) probability.
Stochastic processes and physical applications.
Markov chains and random walks.
Non-equilibrium phenomena and Boltzmann's equation.
Phase transitions and critical phenomena.
Quantum statistics and physical applications
Quantum collective phenomena - Bose-Einstein condensation, Superfluidity, Superconductivity.
Physics of disordered systems. Percolation. Fractals.
Statistics of polymers.
Introduction to the physics of soft matter.
B.Gnedenko, Teoria della probabilita, Editori Riuniti
Y. Rozanov, Processus Aleatoires, MIR
L. Peliti, Appunti di Meccanica Statistica, Boringhieri
Written exam, possibly supplemented by a preliminary oral exam.