None. Helpful articles and books will be mentioned in classes. All lectures will be given, saved, thereafter downloadable, in digital form.
Learning Objectives
Knowledge acquired: Special and general relativistic statistical mechanics. Relativistic hydrodynamics.
Competence acquired : Basic theoretical framework for applications in cosmology, astrophysics and ultrarelativistic heavy ion collisions (Quark Gluon Plasma physics)
Skills acquired (at the end of the course): A broader and more general view of the basic laws of thermodynamics and statistical mechanics.
Prerequisites
Special relativity and basics of general relativity. Classical and quantum statistical mechanics. Some elements of quantum field theory and group theory.
Teaching Methods
6 CFU
Class hours: 48
Further information
Office hours
To be agreed with the teacher
Website
https://sites.google.com/unifi.it/francescobecattiniwebpage/home-page
Type of Assessment
Oral test.
The test lasts about an hour and it includes three main questions, the first of which will be on a topic chosen by the student.
Course program
Relativistic statistical mechanics and thermodynamics at equilibrium. Microcanonical, canonical and grand-canonical ensembles. Non-abelian symmetries and canonical ensemble. Covariant formulation of quantum statistical mechanics in special and general relativity. Local thermodynamic equilibrium. Entropy current Ideal and dissipative relativistic hydrodynamics. Non-equilibrium quantum-relativistic statistical mechanics: Zubarev theory of non-equilibrium density operator. Relativistic Kubo formulae for transport coefficients. A brief review of relativistic kinetic theory and Wigner functions. Hydrodynamical model of the Quark Gluon Plasma.