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Theory of Phase Transitions - NTMF019

Title:	Teorie fázových přechodů
Guaranteed by:	Institute of Theoretical Physics (32-UTF)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2022
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:	cancelled
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time
Additional information:	http://otokar.troja.mff.cuni.cz/vyuka/sylaby/sylaby.htm

Guarantor:	prof. RNDr. Roman Kotecký, DrSc.
Classification:	Physics > Theoretical and Math. Physics

Annotation -

Last update: T_UTF (13.05.2003)

Lattice systems, first-order phase transitions, critical behaviour, renormalization group. For the 4th and 5th year of the TF study.

Syllabus -

Last update: T_UTF (22.05.2003)

Lattice systems, thermodynamic limit, phase transitions as instabilities with respect to boundary conditions.

Ising model, transfer-matrix, free energy in one dimension, Krammers-Wannier duality, Peierls argument.

Cluster expansions, analyticity at high temperatures and in strong external field, low-temperature expansions, elements of Pirogov-Sinai theory.

Onsager solution.

Renormalization group, decimation in simple models, linearization about fixed point and relation to critical exponents.