Bilkent University
Department
of Physics
PHYS 652  Advanced Statistical Mechanics 
Semester:  Spring 2007


Instructor:

Cemal Yalabik


Office:
 Room SA228


Office Hours:
 Wednesday  12:40  13:30
 Room SA228

 All other times
 (if available  call 1316 to check)
 Room EAG11

Course Schedule:


 Wednesday  13:40 15:30  Room SAZ02


 Friday  12:40  13:30  Room SAZ02


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.
Random variables and their transformations
The Langevin and FokkerPlanck equations
Boltzmann transport equation, the Hfunction, and its solutions
The Wigner function
The master equation, detailed balance
The Ising model  solution to the 1D model
The 2D Ising model  high and low temperature series, mean field theory
Introduction to phase transitions and critical phenomena  the critical exponents
The MonteCarlo method, simulated annealing and molecular dynamics
The renormalization group theory and its application to the Ising model
Midsemester Break
Other model systems with more complicated phase diagrams  multicriticality
Dynamic criticality  self ordered criticality
Project presentations
Project presentations
Project presentations