# (52524) Integrated Course II: Statistical and Solid State Physics

Winter term 2019-2020

*Prof. Dr. F. Evers, *

Dr. Daniel Hernangómez Pérez,
Dr. Jan Wilhelm

## Lectures (4 SWS)

Monday, 10:15 – 11:45, Room: PHY 9.2.01

Friday, 10:15 – 11:45, Room: PHY 9.1.10

## Exercises (2 SWS)

Tuesday, 15:15 – 16:45, Room: 2.1.29

## Exam

Friday, February 14th, 9:00 – 11:00, Room: 9.2.01

## Exercise Sessions

### General Rules

Problem solving is crucial to really understand the material taught in the lectures. Therefore, you are encouraged
to try to solve the exercises by yourselves. In order to motivate you to do so, the following rules apply:

- As a general rule, each week there will be an exercise sheet.
- At the beginning of each exercise session, you check in the list which problems are you prepared to present on the blackboard.

Based on that list, one student will be randomly selected to present her/his solution.
- In order to participate in the final exam, you have to check at least 50% of the total points over the course of the semester.

### Exercise Sheets

- Sheet 0 - Discussion: October, 15.
- Sheet 1 - Discussion: October, 22.
- Sheet 2 - Discussion: October, 29.
- Sheet 3 - Discussion: November, 5.
- Sheet 4 - Discussion: November, 12.
- Sheet 5 - Discussion: November, 19.
- Sheet 6 - Discussion: November, 26.
- Sheet 7 - Discussion: December, 3.
- Sheet 8 - Discussion: December, 10.
- Sheet 9 - Discussion: December, 17.
- Sheet 10 - Discussion: January, 7.
- Sheet 11 - Discussion: January, 14.
- Sheet 12 - Discussion: January, 21.
- Sheet 13 - Discussion: January, 28.
- Sheet 14 - Discussion: February, 4.

## Syllabus

### Contents

1. Introduction

2. Basic concepts of statistics

3. Physical input into statistical theory

4. Microcanonical ensemble

5. Canonical ensemble

6. Grand Canonical ensembles

7. Thermodynamic averages

8. Entropy and probability

9. Thermodynamic state variables

10. Thermal fluctuations

11. The first and second law of thermodynamics

12. Thermodynamic relations

13. Inhomogeneous systems

14. Interlude: Systems of identical particles

15. Quantum gases: fermions

16. Quantum gases: bosons

17. Spin systems and magnetic phase transitions

18. Virial expansion for diluted systems

19. Liquid-vapor phase transition in van-der-Waals gases

20. Phase transitions and critical phenomena

21. Non-equilibrium dynamics: Boltzmann equation

## Literature

__Main texts__

* Statistische Theorie der Wärme: Gleichgewichtsphänomene*,

W. Brenig, Springer (1992).
* Statistische Mechanik*,

F. Schwabl, Springer (2006).
*Fundamentals of statistical and thermal physics*,

F. Reif, Mc-Graw Hill (1965).
*Statistical Physics*,

L. D. Landau and E. M. Lifshitz, Pergamon Press (1976).