Main Page

This is the official page for the year 2023-2024 of the Statistical Physics of Disordered Systems course.

Course description

• Introduction to disordered systems. The simplest spin-glass: solution of the Random Energy Model.
• The replica method: the solution of the spherical p-spin model (1 RSB). Interface growth.
• Directed polymers in random media: the KPZ universality class.
• Scenarios for the glass transition: sketch of the solution of Sherrington Kirkpatrick model (full RSB); the glass transition in KPZ in 3D.
• Towards glassy dynamics: rugged landscapes, the trap model. Depinning and avalanches.
• Bienaimé-Galton-Watson processes. Anderson localization in 1D.
• Anderson model on the Bethe lattice, and links to the directed polymer problem.
• Quantum thermalization and many-body localization.

Evaluation

The students have two possibilities:

(1)A final written exam which counts for the total grade.(2)An homework assignement + a written exam. The final grade is given by a weighted average of the two grades (the homework counts 1/4 and the written exam 3/4).

Tutorials

Date	First Year : 15h45-17h45	Second Year : 13h15-15h15
First Tutorial	XXX	Partial Differential Equations: Wave breaking, Burgers and Shocks Complements
Second Tutorial	Integral Transform: Radon Transform	Variational Methods: Sound waves in solids and fluids
Third Tutorial	Residue Theorem: Green Functions	Probability: Extreme value Statistics

The Team

• Valentina Ros
• Alberto Rosso

Where and When

• Lectures on Monday: xx
• Tutorials on Monday: xx