Free energy and statistical ensembles (revision).
Quantum statistics (revision).
Order parameters; symmetry breaking; topology.
Landau's theory of phase transitions.
Correlations, response and dissipations.
Abrupt (1st order) and continuous (2nd order) phase transitions.
Symmetries (basic concepts).
Groups; representation of groups.
Irreducible representations; properties of vector and tensor irreducible operators.
Applications of group theory.
Bibliography of reference
K. HUANG, Statistical Mechanincs, Wiley & Sons, 1987.
L. E. REICHL, A modern course in statistical physics, Univ. of Texas, 1980.
N. GOLDENFELD, Lectures on phase transitions and the renormalization group, Addison-Wesley, 1992.
J. M. YEOMANS, Statistical Mechanics of phase transitions, Claredon Press, 1992.
M. TINKHAM, Group Theory and Quantum Mechanics, Dover (2003)
R. McWEENY, Symmetry: an introduction to group theory and its applications, Dover (1963).