Winter 2010

Physics 35200 Statistical Mechanics

Day/Time: MW 10:30 am-11:50 am
Location: KPTC 105
Lecturer: Cheng Chin
Office: GCIS  107
Office Hours: WF 4-5 pm
Email: cchin@uchicago.edu
Website: http://ultracold.uchicago.edu/phys_courses

Class outline:
Thermodynamics
Wk 1   01/04  M         10:30~11:50     Laws of thermodynamics
Wk 1   01/06  W        10:30~11:50     Energy and Clausius’s entropy
Wk 2   01/11  M         10:30~11:50     Thermodynamic potentials

Statistical mechanics
Wk 2   01/13  W        10:30~11:50     Statistical distribution and statistical matrix, hw1solution1
Wk 3   01/18  M         10:30~11:50     No Class

Wk 3   01/20  W        10:30~11:50     Statistical entropy
Wk 4   01/25  M         10:30~11:50     Discussion: Other interpretations of entropy
Wk 4   01/27  W        10:30~11:50      Statistical ensembleshw1 due, hw2solution2
Wk 5   02/01  M         10:30~11:50     Gibbs distribution
Wk 5   02/03  W        10:30~11:50     Non-interacting particles
Wk 6   02/08  M         10:30~11:50     Ising model and interactin gas
Wk 6   02/10  W        10:30~11:50      Virial expansionhw2 due, hw3, solution3
Wk 7   02/15  M         10:30~11:50     Fluctuations
Wk 7   02/17  W        10:30~11:50     Fluctuation-dissipation theorem

Presentations
Wk 8   02/22  M         10:30~12:00     Presentation I: 
  Boltzmann Equation and H theorem (Samuel Meehan)
  Statistical Mechanical Derivation of Ginzburg-Landau Theory (Jake Ellowitz)
  Fluctuation Theorems - Fluctuation Dissipation, Jarzynski Equality and Crooks Fluctuation Theorem (Mikhail Solon) 
         
Wk 8   02/24  W        10:30~12:00     Presentation II, hw3 due, hw4
  Stochastic Cooling (Valkovich Aleksandr)
  Granular gas and Maxwell's Demon (Marc Miskin)
  Pomeranchuk effect (Gustavo Alba)    

Quantum systems
Wk 9   03/01  M         10:30~11:50    Bose and Fermi gases (i)
Wk 9   03/03  W        10:30~11:50      Bose and Fermi gases (ii)
Wk 10 03/08  M         10:30~11:50    Mean-field theory
Wk 10 03/10  W        10:30~11:50     Scale invarance and renormalization,  hw4 due, hw5

Presentation Topics
Joule-Thompson effect in classical and quantum gases
Thermalization of a finite isolated system?
Empirical determination of equation of state
Cooling techniques in low temperature physics experiments
Virial expansion
Entropy in informational statistics
Paradoxes in thermodynamics and statistical mechanics
Fluctuation-dissipation theorem
Quantum phase transition modeling
Paradoxes in thermodynamics
2D quantum systems
Non-equilibrium thermodynamics

Evaluation
Problem sets: 50%            Presentation/term paper: 50%
Extra credits (0.5~5%): identify errors in the textbooks  

Textbooks
(recommended) thermodynamics, Enrico Fermi