Hamiltonian systems, Liouville theorem, Poincaré recurrence theorem, Birkhoff theorem, Boltzmann hypothesis, statistical ensembles, Gibbs measure, Ising model, thermodynamic limit, FKG inequality, phase transition, phase diagram, FK models, Pirogov-Sinai theory.

References:
FEYNMAN, R.P. – Statistical mechanics; A set of lectures. Reading, Mass.: W. A. Benjamin, 1972.
PRESUTTI, E. – Scaling limits in statistical mechanics and microstructures in continuum mechanics. Berlin: Springer, 2009.
SACHA FRIEDLI. – Elements of Statistical Mechanics and Large Deviation Theory.
YVAN VELENIK. – The Ising Model.

Note: This course is offered as a master’s course. In the doctorate, it has additional requirements.

 

* Basic syllabus. The teacher has the autonomy to make any changes.