Università Roma Tre

The kinetic theory. The Boltzmann equation.
The H theorem. The Maxwell distribution.
The method of the most probable distribution.
The statistical ensemble. The micro canonical ensemble.
The equilibrium conditions between two systems. The equipartition theorem.
The canonical ensemble. The fluctuation-dissipation theorem.
The Brownian motion and the thermal noise of Johnson-Nyquist.
The quantum statistical mechanics. The density matrix. The quantum statistics: Fermi-Dirac and Bose-Einstein.
The Fermi gas. The Bose-Einstein condensation. The photon gas and the quantum theory of the black-body radiation.

1) Carlo Di Castro, Roberto Raimondi
Statistical Mechanics and Applications in Condensed Matter
Cambridge University Press, Cambridge, UK, 2015

2) Kerson Huang
Statistical Mechanics
John Wiley & Sons, Inc., 1987