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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.
Last update: Matějka Pavel (16.06.2019)
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Oral exam Last update: Pátková Vlasta (16.11.2018)
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R: N. Goldenfeld, Lectures on Phase Transitions and The Renormalization Group, Taylor \& Francis Group, ISBN-13: 978-020155409, (1992). Last update: Řehák Karel (27.11.2018)
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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 Last update: Pátková Vlasta (16.11.2018)
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There are no requirements Last update: Pátková Vlasta (16.11.2018)
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