Selected Topics in Statistical Physics and Thermodynamics

Course guarantor:

Igor Jex

Lecturer:

Igor Jex

Tutor:

Jaroslav Novotný

Supervisor:

Department of Physics

Synopsis:

The course concentrates on some advanced topics of statistical mechanics not discussed in the basic course on thermodynamics and statistical physics. Question concerning density matrices, the behaviours of nonideal gases and its macroscopic description, microscopic description of phase transitions, the role of fluctuations are addressed in detail.

Requirements:

fundamentals of theoretical physics, thermodynamics and statistical physics 02TER, 02TEF1, 02TEF2, 02TSFA

Syllabus of lectures:

1. Elements of thermodynamics

2. Bacis of statistical physics

3. The density matrix

4. Nonideal gases

5. Fermi gas

6. Fluctuations

7. Microscopic models and phase transitions

8. Ising model

9. Elements of kinetic theory

10. Transport phenomena

Syllabus of tutorials:

Problem solving on the following topics

1. Elements of thermodynamics

2. Bacis of statistical physics

3. The density matrix

4. Nonideal gases I

5. Nonideal gases II

6. Fermi gas I

7. Fermi gas II

8. Fluctuations

9. Microscopic models and phase transitions

10. Ising model

11. Elements of kinetic theory

12. Transport phenomena

Study Objective:

Knowledge:

Extend the knowledge of thermodynamics and statistical physics.

Skills:

Solve advanced problems of statistical physics and thermodynamics.

Study materials:

Key references:

[1] L. E. Reichl, A Modern Course in Statistical Physics, Wiley VCH, 2016

[2] R. Balian, From Microphysics to Macrophysics, Springer, New York, 1991

Recommended references:

[3] W. Thirring, Quantum Mathematical Physics: Atoms, Molecules and Large Systems, Springer Verlag, 2010

[4] L. D. Landau, E. M. Lifshitz, Statistical Physics (Course of Theoretical Physics, Volume 5), Butterworth- Heinemann, 1980

Note:

Time-table for winter semester 2024/2025:

	06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon	roomTR:207 Jex I. 16:00–17:50 (lecture parallel1) Trojanova 13
Tue	roomBR:114 Novotný J. 12:00–13:50 (parallel nr.101) Břehová 7
Wed
Thu	roomBR:10 Jex I. 10:00–11:50 (lecture parallel1) Břehová 7
Fri

Time-table for summer semester 2024/2025:

Time-table is not available yet

The course is a part of the following study plans:

• Matematická fyzika (compulsory course in the program)
• Matematické inženýrství (elective course)
• Kvantové technologie (elective course)