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== Course description ==
== Course description ==


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





Revision as of 14:57, 13 November 2023

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
  Complements
Second Tutorial
Third Tutorial

The Team


Where and When

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