Advanced Statistical Physics

The course aims to provide an overview of advanced Statistical Physics and its applications to complex systems and physical systems characterized by an enormous number of degrees of freedom, from the classical regime to the quantum degenerate regime. Attention will be given to emerging phenomena such as phase transitions, including topological phases, critical phenomena and universality

The course aims to provide students with:
· methods for determining the statistical properties of a complex system based on the behavior of its microscopic constituents.
· familiarity with the applications of these methods to important classical and quantum complex systems
· the concept of correlation function and its link with the scattering of radiation from a system
· advanced theories and phenomenological aspects of phase transitions and critical phenomena.