From Werner KRAUTH

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	=Week 4: Classical/Quantum Ising model=		=Week 4: Classical/Quantum Ising model=
		+	* [http://www.lps.ens.fr/~krauth/images/a/a9/Lecture_4.pdf preliminary lecture notes for week 4]
	* [[Ising_dual_4x4.py| Ising_dual_4x4.py]]: Example program to illustrate the Kramers-Wannier duality		* [[Ising_dual_4x4.py| Ising_dual_4x4.py]]: Example program to illustrate the Kramers-Wannier duality

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Revision as of 06:28, 21 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 1 Week 1: The power of statistical physics 1.1 Lecture: The power of statistics (Mathematical aspects). 1.2 Tutorial: Convolution, central limit theorem, Levy distributions. 2 Week 2: Phase transitions, general theorems 2.1 Lecture: Hard spheres in 2d, 1d: virial, depletion, absence of transition. 2.2 Tutorial: Presence / Absence of transition in 1d systems. Kittel model, etc 3 Week 3: Classical Ising model 3.1 Lecture: Exact computations in the two-dimensional Ising model (Kac-Ward) 3.2 Tutorial: Exact computations in the one-dimensional Ising model (transfer matrix) 4 Week 4: Classical/Quantum Ising model

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