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Mathematical Physics II: Mathematical Statistical Mechanics (SS 2012)
Schedule
| Lectures |
Dr. Matteo Petrera |
Mon |
12:15 - 13:45 |
MA 645 |
| Dr. Matteo Petrera |
Wed |
12:15 - 13:45 |
MA 744 |
| Tutorial |
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This is a course of the Berlin Mathematical School held in English.
Office hours
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Name |
Office hours |
Room |
| Lectures |
Dr. Matteo Petrera |
Thu 10:00 - 12:00 |
MA 819 |
| Tutorial |
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Contents
Measure spaces, Probability spaces, Measurable dynamical systems, Ergodic systems,
Entropy.
Maxwell-Boltzmann kinetic theory, Boltzmann transport equation, Boltzmann gas,
Boltzmann H Theorem, Kac ring.
Gibbs ensembles, Ergodic hypothesis, Microcanonical ensemble, Canonical Ensemble,
Grand canonical ensemble, Thermodynamic limit, Phase transitions.
Ising-type models, Gibbs ensembles for Ising models, One-dimensional Ising model,
Dimer statistics, Two-dimensional Ising model.
Literature
You are invited to consult the following references and books. If you have problems in getting them
please do not hesitate to contact me.
- M. Petrera,
Lecture Notes (complete version, pwd protected file).
- G. Gallavotti, Statistical Mechanics: a Short Treatise, Springer, 1999.
- D. Ruelle, Statistical Mechanics: Rigorous Results, Benjamin, 1969.
- C.J. Thompson, Mathematical Statistical Mechanics, MacMillan, 1972.
- R. Kubo, Statistical Mechanics, Elsevier, 1965.
- B. McCoy, Advanced Statistical Mechanics, Oxford, 2010.
- M. Baus, C.Tejero, Equilibrium Statistical Physics, Springer, 2008.
News
Homework sheets
Homework policy
- There is no Tutorial. Written homework sheets will be assigned every two weeks.
- Homeworks may be turned in directly to the lecturer.
- To get the Übungsschein, you need to satisfactorily complete 50% of the homework assignments.
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