SYLLABUS | |||||||||||||||
University: Technical University of Košice | |||||||||||||||
Faculty: Faculty of Electrical Engineering and Informatics | |||||||||||||||
Department: Department of Physics |
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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: |
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Number of credits: 6 | |||||||||||||||
Recommended semester of study: WT | |||||||||||||||
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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) |
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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. |
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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 |
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Recommended Reference Sources: [1] H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena, Clarendon Press-Oxford, 1971 |
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Recommended optional program components: |
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Languages required for the course completion: Slovak, English | |||||||||||||||
Notes: | |||||||||||||||
Course assessment: Total number of students assessed: 0 |
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A | B | C | D | E | FX | ||||||||||
0% | 0% | 0% | 0% | 0% | 0% | ||||||||||
Teacher: doc. RNDr. Mária Kladivová, PhD. |
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Last modified: 31.08.2022 | |||||||||||||||
Approved by: person(s) responsible for the study program | |||||||||||||||