ICFP Stat Physics 2015

From Werner KRAUTH

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==Lecture: Exact computations in the two-dimensional Ising model (Kac-Ward)== ==Lecture: Exact computations in the two-dimensional Ising model (Kac-Ward)==
* [http://www.lps.ens.fr/~krauth/images/5/58/ISING_TWO_D.pdf preliminary lecture notes of Week 3 CM - Kac-Ward solution] * [http://www.lps.ens.fr/~krauth/images/5/58/ISING_TWO_D.pdf preliminary lecture notes of Week 3 CM - Kac-Ward solution]
-* [[ Combinatorial ising.py|Combinatorial Ising.py]] illustrating the Kac-Ward matrix for the two-dimensional Ising model+* [[Enumerate_ising_dos.py|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|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)== ==Tutorial: Exact computations in the one-dimensional Ising model (transfer matrix)==
=Week 4: Classical/Quantum Ising model= =Week 4: Classical/Quantum Ising model=

Revision as of 20:15, 19 October 2015

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.

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)

Tutorial: Exact computations in the one-dimensional Ising model (transfer matrix)

Week 4: Classical/Quantum Ising model

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