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Mathematical Physics II: Statistical Mechanics   (SS 11)

 Name Office hours Room Prof. Dr. Yuri B. Suris Tue 12:30 - 14:00 and on appointment MA 724 Dr. Matteo Petrera Mon 11:00 - 13:00 MA 720

This is a course of the Berlin Mathematical School held in English.

Contents

Elements of probability theory, Classical statistical mechanics, Ensembles, Entropy, Curie-Weiss Model, Quantum statistical mechanics, Phase transitions, Spin chains, Ising model, Potts model, Thermodinamic limit.

Literature

• R. J. Baxter, Exactly Solved Models in Statistical Mechanics, Academic Press, 1982

Schedule

 Lectures Tutorial Prof. Dr. Yuri B. Suris Tue 14:00 - 16:00 MA 850 Prof. Dr. Yuri B. Suris Fri 12:00 - 14:00 MA 850 Dr. Matteo Petrera Tue 10:00 - 11:30 MA 545

News

• Tutorials have been shifted to Room 545 at 10:00

Class Exercises (discussed and solved in class)

• Tutorial 1 (19.04.11) (Exercises on probability theory, binomial probability, Bertrand's paradox)
• Tutorial 2 (26.04.11) (Probability density functions, transformation of probability densities, characteristic functions, partition function of an ideal gas)
• Tutorial 3 (03.05.11) (Partition functions, entropy)
• Tutorial 4 (10.05.11) (One-dimensional Ising models, spin chains)
• Tutorial 5 (17.05.11) (Transfer matrix method, application to the closed one-dimensional Ising chain)
• Tutorial 6 (24.05.11) (Classical Heisenberg spin chain, correlation functions for the closed one-dimensional Ising chain)
• Tutorial 7 (31.05.11) (Some aspects of the two-dimensional Ising lattice, Part 1)
• Tutorial 8 (07.06.11) (Some aspects of the two-dimensional Ising lattice, Part 2)
• Tutorial 9 (14.06.11) (Star-triangle relation)
• Tutorial 10 (21.06.11) (Transfer matrix method for the two-dimensional Ising lattice, Part 1)
• Tutorial 11 (28.06.11) (Transfer matrix method for the two-dimensional Ising lattice, Part 2)
• Tutorial 12 (05.07.11) (Transfer matrix method for the two-dimensional Ising lattice, Part 3)

Homework policy

• To get a certificate for the tutorial, you need to satisfactorily complete 60% of the homework assignments.
• The homeworks are due weekly at the beginning of the Tuesday lecture (8:30). No homework will be accepted after the deadline has passed.
• Homeworks may be turned in directly to the assistant at the lecture, or left with the Sekretariat in MA 7-2 (Room 701).

 Matteo Petrera . 04.07.2011