ICFP Stat Physics 2015

From Werner KRAUTH

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(Lecture: Exact computations in the two-dimensional Ising model (Kac-Ward))
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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. 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.
-=Week 1: The power of statistical physics=+Please check out the [[ICFP_Stat_Physics_2016| 2016 lecture course]]
-== Lecture: The power of statistics (Mathematical aspects).==+
-== Tutorial: Convolution, central limit theorem, Levy distributions.==+
-=Week 2: Phase transitions, general theorems=+=The power of statistical physics=
-== Lecture: Hard spheres in 2d, 1d: virial, depletion, absence of transition.==+=Phase transitions, general theorems=
-==Tutorial: Presence / Absence of transition in 1d systems. Kittel model, etc+=Hard spheres in 2d, 1d=
- +=Presence / Absence of transition in 1d systems=
-=Week 3: Classical Ising model=+=The two-dimensional Ising model - Solution of Kac and Ward=
-==Lecture: Exact computations in the two-dimensional Ising model (Kac-Ward)==+* [[Ising_dual_4x4.py| Ising_dual_4x4.py]]: Example program to illustrate the Kramers-Wannier duality
-[http://www.lps.ens.fr/~krauth/images/5/58/ISING_TWO_D.pdf preliminary lecture notes of Week 3 CM - Kac-Ward solution]+=The one-dimensional Quantum Ising model=
- +=Bosons, Bose-Einstein condensation, interacting Bosons=
-==Tutorial: Exact computations in the one-dimensional Ising model (transfer matrix)==+=The harmonic classical solid, an exactly solvable model for crystalline order=
- +=Kosterlitz-Thouless physics and beyond=
-=Week 4: Classical/Quantum Ising model=+=Scaling=
 +=Equilibrium and Transport, Fluctuation-dissipation theorems=

Current revision

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.

Please check out the 2016 lecture course

Contents

The power of statistical physics

Phase transitions, general theorems

Hard spheres in 2d, 1d

Presence / Absence of transition in 1d systems

The two-dimensional Ising model - Solution of Kac and Ward

The one-dimensional Quantum Ising model

Bosons, Bose-Einstein condensation, interacting Bosons

The harmonic classical solid, an exactly solvable model for crystalline order

Kosterlitz-Thouless physics and beyond

Scaling

Equilibrium and Transport, Fluctuation-dissipation theorems

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