Class at Faculty of Mathematics and Physics |
NTMF047
Syllabus
10 Microcanonical, canonical and grandcanonical ensembles. 11 Gibbs states on finite lattices. 12 Gibbs states on infinite lattices. 13 Polymer models and their cluster expansion. 14 One dimensional models, transfer matrix method. 15 High temperature lattice models. 16 Ising systems at low temperatures. 17 Contour description of other models. 18 Introduction to Pirogov-Sinai theory. 19 Elements of quantum statistical mechanics. 20 Introduction to renormalization method.
This is a maximal sylabus; it can be adapted after a consultation with students.
Annotation
Introduction to the mathematical theory of Gibbs states. Study of phase transitions of some important models (of Ising type).
The lecture follows TMF027.