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 1 The power of statistical physics 2 Phase transitions, general theorems 3 Hard spheres in 2d, 1d 4 Presence / Absence of transition in 1d systems 5 The two-dimensional Ising model - Solution of Kac and Ward 6 The one-dimensional Quantum Ising model 7 Bosons, Bose-Einstein condensation, interacting Bosons 8 The harmonic classical solid, an exactly solvable model for crystalline order 9 Kosterlitz-Thouless physics and beyond 10 Scaling 11 Equilibrium and Transport, Fluctuation-dissipation theorems

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

• Ising_dual_4x4.py: Example program to illustrate the Kramers-Wannier duality

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