Theoretical Statistical Physics
Winter Semester 2014/15Outline of the course:
- Concepts of Thermodynamics
- Concepts of Statistics
- Statistical definition of Entropy
- Microcanonical ensemble
- Canonical ensemble
- Virial theorem and equipartition theorem
- Macrocanonical ensemble
- Density operator
- Ideal quantum systems
- Ideal Bose gas
- Ideal Fermi Gas
- Phase transitions
NOTE: Course begins on October 14th, 2014. Classes on Tuesday and Thursday 11:15-13:00 Philosophenweg 12, gHS.
The exercise classes will begin the week after. The classes are organized by Dr. Nils Strodthoff
You must register to the course in order to take the exam. If you attended the course one of the previous years and wish to take the exam, you must register even if you are not attending the course.
The exam is written and will take place in lecture hall Philosophenweg 12 gHS on Saturday, February 7th 2015 from 9am to 12 noon.
A second exam will be offered on Saturday April 25th, 2015 9am to 12 noon lecture hall 1 INF 227 (KIP).
You are allowed to bring only one A4 page with handwritten equations on both sides. You can also bring a non-programmable electronic pocket calculator with no internet connection. No other material (books, computers, tablets, etc) is allowed. Cellphones must be switched off.
Exercise sheets. During the course, every week (or almost) an exercise sheet will be handed out (via download from this page) and discussed during the exercise classes of the following week. The students are expected to try the exercises on their own and hand them in individually to the tutor at the beginning of the exercise class. If for any reason the exercise class does not take place one week, the exercises should be handed in the following week. IMPORTANT NOTE: The exercises will not be graded but a student will be allowed to register for the exam only if he/she hands in at least 5 exercise sheets (with a serious effort to solve the problems) during the course.
Solutions of selected exercises (part 1)
Solutions of selected exercises (full)
Sheet 1 (exceptionally, you can hand in these exercises by the week Oct. 27-31)
Sheet 1 new (this contains additional exercises (n.6,7,8) which are directly related to the material covered in the first two lectures)
Sheet 2 (to be handed in during the exercise classes of the week Oct. 27-31.)
Sheet 3 (to be handed in during the exercise classes of the week Nov. 3-7.)
Sheet 4 (to be handed in during the exercise classes of the week Nov. 10-14.)
Sheet 5 (to be handed in during the exercise classes of the week Nov. 17-21.)
Sheet 6 (to be handed in during the exercise classes of the week Nov. 24-28.)
Sheet 7 (to be handed in during the exercise classes of the week Dec. 1-5.)
Sheet 8 (to be handed in during the exercise classes of the week Dec. 8-12.)
Sheet 9 new there was a typo in the previous version (to be handed in during the exercise classes of the week Dec. 15-19.)
Sheet 10 (to be handed in during the exercise classes of the week Jan. 7.-9.)
Sheet 11 (LAST SHEET!) (to be handed in during the exercise classes of the week Jan. 12.-16.)
No official exercise classes after Jan. 16th. The tutors might agree to deliver additional classes; please contact directly your tutor.
Lecture Notes (full) (please send me comments/typos etc)
The program of the course is the entire Lecture Notes script (version of Jan 10, 2015 and following) except Sections 4.7, 5.3, 5.5, 5.6, 5.7, and Sections 6.2-6.6. In addition, the program includes also the lecture notes on Brownian motion by Nils Strodthoff (see e.g. Schwabl Chapter 8.1). Notice that Sections 5.3, 5.5, 5.6, 5.7 have actually been discussed in class but the exam will not include exercises on these topics.
Essentially all the topics of the program (except Brownian motion) are included in Greiner's textbook, except in a few cases where I suggested another reference in the lecture notes. We completely skipped Chapter 3 and 15 in Greiner's book.
Notes on Brownian motion (Nils Strodthoff)
Notes on Real Gases (Nils Strodthoff)
Greiner, Neise, Stoecker, Thermodynamics and Statistical Mechanics, Springer (recommended)
Pahtria Statistical Mechanics, Elsevier (more advanced text)
Schwabl, Statistical Mechanics, Springer (very complete, includes several advanced topics)
Y-K Lim, Problems and solutions on Thermodynamics and Statistical Mechanics, World Scientific (a huge list of problems and soutions)
Other useful texts: Chandler, Introduction to Modern Statistical Mechanics (clear and concise); J. P. Sathna Entropy, Order Parameters, and Complexity. (an original, pedagogical text, especially useful on fundamental issues); J. Uffink, Compendium of the foundations of classical statistical physics. (a historical perspective on fundamental issues)