| PHYS 652 - Advanced Statistical Mechanics |
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| Semester: | Spring 2007 | ||
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| Instructor: | Cemal Yalabik | ||
| Office: | Room SA-228 | ||
| Office Hours: | Wednesday | 12:40 - 13:30 | Room SA-228 |
| All other times | (if available - call 1316 to check) | Room EA-G11 | |
| Course Schedule: | |||
| Wednesday | 13:40 -15:30 | Room SA-Z02 | |
| Friday | 12:40 - 13:30 | Room SA-Z02 | |
| Prerequisite: | |||
| Phys 552 or equivalent graduate course on Statistical Mechanics. | |||
Grading will be based on a number of projects assigned during the course. The projects will involve computer implementations of the methods discussed in class as well as independent study of a number of topics.
| Week | Subject | Random variables and their transformations The Langevin and Fokker-Planck equations Boltzmann transport equation, the H-function, and its solutions The Wigner function The master equation, detailed balance The Ising model - solution to the 1-D model The 2-D Ising model - high and low temperature series, mean field theory Introduction to phase transitions and critical phenomena - the critical exponents The Monte-Carlo method, simulated annealing and molecular dynamics The renormalization group theory and its application to the Ising model Mid-semester Break Other model systems with more complicated phase diagrams - multicriticality Dynamic criticality - self ordered criticality Project presentations Project presentations Project presentations|