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Revision as of 20:03, 2 February 2024
This is the official page for the year 2023-2024 of the Statistical Physics of Disordered Systems course.
Course description
This course deals with systems in which the presence of impurities or amorphous structures (in other words, of disorder) influences radically the physics, generating novel phenomena. These phenomena involve the properties of the system at equilibrium (freezing and glass transitions), as well as their dynamical evolution out-of-equilibrium (pinning, avalanches), giving rise to ergodicity breaking both in absence and in presence of quantum fluctuations (classical metastability, quantum localization). We discuss the main statistical physics models that are able to capture the phenomenology of these systems, as well as the powerful theoretical tools (replica theory, large deviations, random matrix theory, scaling arguments, strong-disorder expansions) that have been developed to characterize quantitatively their physics. These theoretical tools nowadays have a huge impact in a variety of fields that go well-beyond statistical physics (computer science, probability, condensed matter, theoretical biology).
- Introduction to disordered systems and to the glass transition. // The simplest spin-glass: solution of the Random Energy Model.
- Interface growth. // The replica method: the solution of the spherical p-spin model (1/2).
- Directed polymers in random media, the KPZ universality class. // The replica method: the solution of the spherical p-spin model (2/2).
- Scenarios for the glass transition: the glass transition in KPZ in d>2. // Sketch of the solution of Sherrington Kirkpatrick model (full RSB).
- Depinning and avalanches. // Towards glassy dynamics: rugged landscapes.
- Bienaimé-Galton-Watson processes. // Slow dynamics and aging: the trap model.
- Anderson localization: introduction. // The Anderson model on the Bethe lattice: a solution.
- Localization: bulk, tails, dimensionality dependence. // The Anderson model and links to directed polymers and glassiness.
- Many-body quantum disordered systems: basic notions of quantum thermalization and many-body localization.
Lectures and tutorials
| Date | Alberto : 14h00-15h45 | Valentina : 16h00-17h45 |
|---|---|---|
| Week 1 (22/01) | ||
| Week 2 (29/01) | ||
| Week 3 (05/02) | ||
| Week 4 (12/02) | ||
| Week 5 (26/02) | ||
| Week 6 (04/03) | ||
| Week 7 (11/03) | ||
| Week 8 (18/03) | ||
| Week 9 (25/03) |
Homework
Will be posted after lecture 4.
Practical Information
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).
Where and When
- Lectures on Monday: from 2pm to 4 pm. Tutorials on Monday: from 4 pm to 6pm.
- Room 14.24.207 in Jussieu campus
- Slack channel for discussions [1]
The Team
- Valentina Ros - vale1925@gmail.com
- Alberto Rosso - alberto.rosso74@gmail.com