SubjectsSubjects(version: 949)
Course, academic year 2023/2024
Introduction to the Theory of Phase Transitions - P403016
Title: Úvod do moderní teorie fázových přechodů
Guaranteed by: Department of Physical Chemistry (403)
Faculty: Faculty of Chemical Engineering
Actual: from 2023 to 2023
Semester: winter
Points: winter s.:0
E-Credits: winter s.:0
Examination process: winter s.:
Hours per week, examination: winter s.:3/0, other [HT]
Capacity: unknown / unknown (unknown)
Min. number of students: unlimited
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
For type: doctoral
Note: course is intended for doctoral students only
can be fulfilled in the future
Guarantor: Malijevský Alexandr prof. Mgr. Ph.D., DSc.
Is interchangeable with: AP403016
Annotation -
Last update: Matějka Pavel prof. Dr. RNDr. (16.06.2019)
In this course, the Ph.D. students will get an introduction to the theory of phase transitions and critical phenomena. The course will focus on general fundamentals of the phase transitions, their nature, classification and description. Regarding the latter, most of the course will be devoted to the mean-field (MF) approximation, including van der Walls theory for fluids and Weiss theory of ferromagnetism, encapsulated by the phenomenological Landau theory. However, the scaling theory and renormalization group theory, both going beyond the MF theory, will also be briefly introduced.
Literature -
Last update: Řehák Karel doc. Ing. CSc. (17.10.2018)

R: N. Goldenfeld, Lectures on Phase Transitions and The Renormalization Group, Taylor \& Francis Group, ISBN-13: 978-020155409, (1992).

Learning resources -
Last update: Malijevský Alexandr prof. Mgr. Ph.D., DSc. (19.09.2018)

None at the moment (will be updated)

Syllabus -
Last update: Řehák Karel doc. Ing. CSc. (31.10.2018)

1. Classification and basic nature of phase transitions

2. Summary of statistical mechanics

3. Theoretical models

4. van der Walls theory of fluids

5. Weiss theory of magnets

6. Landau theory

7. Correlation functions

8. Upper critical dimension and Ginzburg criterion

9. Universality

10. Widom's scaling hypothesis

11. Renormalization group

12. Surface phase transitions

Registration requirements -
Last update: Malijevský Alexandr prof. Mgr. Ph.D., DSc. (19.09.2018)

There are no requirements

Course completion requirements -
Last update: Malijevský Alexandr prof. Mgr. Ph.D., DSc. (19.09.2018)

Oral exam