Probability and Mathematics of Phase Transitions II - NTMF047
Title: Pravděpodobnost a matematika fázových přechodů II
Guaranteed by: Institute of Theoretical Physics (32-UTF)
Faculty: Faculty of Mathematics and Physics
Actual: from 2020
Semester: winter
E-Credits: 3
Hours per week, examination: winter s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Additional information: http://utf.mff.cuni.cz/vyuka/NTMF047
Guarantor: doc. RNDr. Miloš Zahradník, CSc.
Teacher(s): doc. RNDr. Miloš Zahradník, CSc.
Classification: Physics > Theoretical and Math. Physics
Co-requisite : NTMF027
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Annotation -
Introduction to the mathematical theory of Gibbs states. Study of phase transitions of some important models (of Ising type). The lecture follows TMF027.
Last update: T_UTF (16.05.2003)
Course completion requirements - Czech

Ústní zkouška

Last update: Houfek Karel, doc. RNDr., Ph.D. (11.06.2019)
Requirements to the exam - Czech

Zkouška bude ústní, po předběžné domluvě studenta s přednášejícím půjde o rozvinutí některého z témat na přednášce probraných

Last update: Zahradník Miloš, doc. RNDr., CSc. (13.10.2017)
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.

Last update: T_UTF (16.05.2003)