SYLLABUS
University: Technical University of Košice
Faculty: Faculty of Electrical Engineering and Informatics
Department: Department of Physics
Course Number: 2618861 Course Name: Phase Transitions and Critical Phenomena
Type, scope and method of learning activities:
Course Type: Lecture, Numerical exercises
Recommended scope of the course content (in hours):
Full-time study (hours per week): 2,3
Part-time study (hours per semester): WT 26,39
Study Method:
Number of credits: 6
Recommended semester of study: WT
Recommended semester Study programme Study grade Study Method
Level of study:
Prerequisites:
Course completion requirements:
Assessment and completion of the course: Credit test and examination
Continuous assessment: Student passes the continuous assessment and receives credits when he or she meets the requirement to obtain at least 21% out of 40%.
Individual elaboration of problems, written test
Final assessment: Student passes the final assessment and passes the examination when he or she meets the requirement to obtain at least 31% out of 60%.
examination
Overall assessment: Overall assessment is the sum of the assessments obtained by students in the assessment period. The overall result is determined in accordance with the internal regulations of the Technical University in Košice. (Study Regulations, the internal regulation principles of doctoral studies)
Learning outcomes:
To yield the fundamental knowledge about the phase transitions and critical phenomena on the phenomenological and microscopic levels. To teach the students how to apply obtained theoretical knowledge for a description of real systems: the localized spin systems, the electron systems.
Brief course content:
1. Thermodynamics and phase transitions
2. Response functions
3. The phase equilibrium, the phase transitions
4. The classical (Ehrenfest) and non-classical classification of the phase transitions
5. The Landau description of phase transitions
6. Critical indices, the universality hypothesis
7. The thermodynamic relations between the critical indices
8. The fundamental microscopic models of the  magnetic phase transitions
9. The Heisenberg model and the Ising model
10. The exact solutions  of the  microscopic models for the magnetics
11. One and two dimensional Ising model
12. Approximate methods for Ising model
13. The Mean-field approximations
14. Phenomenological theory of phase transitions
15. The Landau theory of phase transitions
16. The tricritical point
17. The statistical hypothesis of similarity
18. The scaling theory
19. The renormalization  group method in the theory of phase transitions
20. Electronic phase transitions, valence transitions, metal-insulator and metal-superconductor transitions
Recommended Reference Sources:
[1]  H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena, Clarendon Press-Oxford, 1971
Recommended optional program components:
Languages required for the course completion: Slovak, English
Notes:
Course assessment:
Total number of students assessed: 0
  A B C D E FX  
  0% 0% 0% 0% 0% 0%  
Teacher:
doc. RNDr. Mária Kladivová, PhD.
Last modified: 31.08.2022
Approved by: person(s) responsible for the study program