ICFP Stat Physics 2015
From Werner KRAUTH
This is the home page of the course "Statistical Physics: Concepts and Applications", that I teach this year for the first time to the ICFP first-year Master students at ENS. Tutorial sessions are assured by Maurizio Fagotti, JRC laureate researcher at the ENS Department of Physics, and world-wide expert in Statistical Mechanics.
Preliminary lecture notes (15 January 2016)
Contents |
Week 1: The power of statistical physics
Lecture: The power of statistics (Mathematical aspects).
Tutorial: Convolution, central limit theorem, Levy distributions.
Week 2: Phase transitions, general theorems
Lecture: Hard spheres in 2d, 1d: virial, depletion, absence of transition.
Tutorial: Presence / Absence of transition in 1d systems. Kittel model, etc
Week 3: Classical Ising model
Lecture: Exact computations in the two-dimensional Ising model (Kac-Ward)
- preliminary lecture notes of Week 3 CM - Kac-Ward solution
- Enumerate Ising dos.py Using Gray-code enumeration to obtain the density of states of the Ising model on a square lattice, with periodic boundary conditions.
- Combinatorial Ising.py illustrating the Kac-Ward matrix for the two-dimensional Ising model.
Tutorial: Exact computations in the one-dimensional Ising model (transfer matrix)
Week 4: Classical/Quantum Ising model
- preliminary lecture notes for week 4
- Ising_dual_4x4.py: Example program to illustrate the Kramers-Wannier duality
