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Course, academic year 2018/2019
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Probability and Mathematics of Phase Transitions II - NTMF047
Title in English: Pravděpodobnost a matematika fázových přechodů II
Guaranteed by: Institute of Theoretical Physics (32-UTF)
Faculty: Faculty of Mathematics and Physics
Actual: from 2017
Semester: winter
E-Credits: 3
Hours per week, examination: winter s.:2/0 Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech
Teaching methods: full-time
Additional information: http://otokar.troja.mff.cuni.cz/vyuka/sylaby/sylaby.htm
Guarantor: doc. RNDr. Miloš Zahradník, CSc.
Classification: Physics > Theoretical and Math. Physics
Co-requisite : NTMF027
Annotation -
Last update: T_UTF (16.05.2003)
Introduction to the mathematical theory of Gibbs states. Study of phase transitions of some important models (of Ising type). The lecture follows TMF027.
Requirements to the exam - Czech
Last update: doc. RNDr. Miloš Zahradník, CSc. (13.10.2017)

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

Syllabus -
Last update: T_UTF (16.05.2003)

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.

 
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