Main Page: Difference between revisions
Jump to navigation
Jump to search
| (9 intermediate revisions by the same user not shown) | |||
| Line 2: | Line 2: | ||
== Course description | = Where and When = | ||
* Each Monday at 2pm - 6 pm, from January 19th to March 23rd. No lecture on 23/02/26. | |||
* Room 202 in Jussieu campus, Tours 54-55. | |||
* Each session is a mixture of lectures and exercises. | |||
= The Team = | |||
* [https://vale1925.wixsite.com/vros Valentina Ros] - vale1925@gmail.com | |||
* [http://lptms.u-psud.fr/alberto_rosso/ Alberto Rosso] - alberto.rosso74@gmail.com | |||
= 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). Below is a list of topics discussed during the course. | 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). Below is a list of topics discussed during the course. | ||
| Line 31: | Line 42: | ||
|-valign="top" | |-valign="top" | ||
| Week 1 ( | | Week 1 (19/01) | ||
| | | | ||
* [[L-1| Spin Glass Transition (Alberto)]] | * [[L-1| Spin Glass Transition (Alberto)]] | ||
| Line 38: | Line 49: | ||
|-valign=“top" | |-valign=“top" | ||
| Week 2 ( | | Week 2 (26/01) | ||
| | | | ||
* [[T-2|The REM: freezing, condensation, glassiness (Valentina)]] <!--[[Media:2025 P2 solutions.pdf| Sol Prob.2 ]]--> | * [[T-2|The REM: freezing, condensation, glassiness (Valentina)]] <!--[[Media:2025 P2 solutions.pdf| Sol Prob.2 ]]--> | ||
| Line 45: | Line 56: | ||
|-valign=“top" | |-valign=“top" | ||
| Week 3 ( | | Week 3 (02/02) | ||
| | | | ||
* [[L-3|Directed polymer in random media (Alberto)]] | * [[L-3|Directed polymer in random media (Alberto)]] | ||
| Line 51: | Line 62: | ||
* [[L-4| KPZ and glassiness in finite dimension (Alberto)]] [[https://colab.research.google.com/drive/1PTya42ZS2kU87A-BxQFFIUDTs_k47men?usp=sharing| notebook]] | * [[L-4| KPZ and glassiness in finite dimension (Alberto)]] [[https://colab.research.google.com/drive/1PTya42ZS2kU87A-BxQFFIUDTs_k47men?usp=sharing| notebook]] | ||
|-valign=“top" | |-valign=“top" | ||
| Week 4 ( | | Week 4 (9/02) | ||
| | | | ||
* [[T-3| The p-spin model: replicas 1/2, the steps (Valentina)]] <!--[[Media:2025 P3 solutions.pdf| Sol Probs.3 ]]--> | * [[T-3| The p-spin model: replicas 1/2, the steps (Valentina)]] <!--[[Media:2025 P3 solutions.pdf| Sol Probs.3 ]]--> | ||
| Line 57: | Line 68: | ||
* [[T-4| The p-spin model: replicas 2/2, the interpretation (Valentina)]] <!--[[Media:2025 P4 solutions.pdf| Sol Probs. 4 ]] --> [[Media:2025_Parisi_scheme.pdf| Notes: Probing states with replicas]] | * [[T-4| The p-spin model: replicas 2/2, the interpretation (Valentina)]] <!--[[Media:2025 P4 solutions.pdf| Sol Probs. 4 ]] --> [[Media:2025_Parisi_scheme.pdf| Notes: Probing states with replicas]] | ||
|-valign=“top" | |-valign=“top" | ||
| Week 5 ( | | Week 5 (16/02) | ||
| | | | ||
* [[L-5| Depinning and avalanches (Alberto)]] | * [[L-5| Depinning and avalanches (Alberto)]] | ||
| Line 63: | Line 74: | ||
* [[L-6| Bienaymé-Galton-Watson processes (Alberto)]] | * [[L-6| Bienaymé-Galton-Watson processes (Alberto)]] | ||
|-valign=“top" | |-valign=“top" | ||
| Week 6 ( | | Week 6 (02/03) | ||
| | | | ||
* [[T-5| Rugged landscapes 1/2: counting local minima (Valentina)]] <!--[[Media:2025 P5 solutions.pdf| Sol Prob.5 ]]--> | * [[T-5| Rugged landscapes 1/2: counting local minima (Valentina)]] <!--[[Media:2025 P5 solutions.pdf| Sol Prob.5 ]]--> | ||
| Line 69: | Line 80: | ||
* [[T-6| Rugged landscapes 2/2: random matrices (Valentina)]] <!--[[Media:2025 P666 solutions .pdf| Sol Prob.6 ]]--> | * [[T-6| Rugged landscapes 2/2: random matrices (Valentina)]] <!--[[Media:2025 P666 solutions .pdf| Sol Prob.6 ]]--> | ||
|-valign=“top" | |-valign=“top" | ||
| Week 7 ( | | Week 7 (9/03) | ||
| | | | ||
* [[L-7| Anderson localization: introduction (Alberto)]] | * [[L-7| Anderson localization: introduction (Alberto)]] | ||
| | | | ||
* [[T-7| Trap model and aging dynamics (Valentina)]] <!--[[Media:2025 P7 solutions .pdf| Sol Probs.7 ]]--> | * [[T-7| Trap model and aging dynamics (Valentina)]] <!--[[Media:2025 P7 solutions .pdf| Sol Probs.7 ]]--> | ||
|-valign= | |-valign=“t0p" | ||
| Week 8 ( | | Week 8 (16/03) | ||
| | | | ||
* [[L-8| Localization in 1D, transfer matrix and Lyapunov exponent (Alberto)]] [[https://colab.research.google.com/drive/1ZJ0yvMrtflWNNmPfaRQ8KTteoWfm0bqk?usp=sharing| notebook]] | * [[L-8| Localization in 1D, transfer matrix and Lyapunov exponent (Alberto)]] [[https://colab.research.google.com/drive/1ZJ0yvMrtflWNNmPfaRQ8KTteoWfm0bqk?usp=sharing| notebook]] | ||
| Line 81: | Line 92: | ||
* [[T-8| Localization on Bethe lattice (1/2): cavity & recursion (Valentina)]] <!--[[Media:2025 P8 solutions.pdf| Sol Prob.8 ]]--> | * [[T-8| Localization on Bethe lattice (1/2): cavity & recursion (Valentina)]] <!--[[Media:2025 P8 solutions.pdf| Sol Prob.8 ]]--> | ||
|-valign=“top" | |-valign=“top" | ||
| Week 9 ( | | Week 9 (23/03) | ||
| | | | ||
* [[T-9| Localization on Bethe lattice (2/2): stability & mobility edge (Valentina)]] <!--[[Media:2025 P9 solutions.pdf| Sol Prob.9 ]] --> [[Media:2025_localization_notes.pdf| Notes: Localization: no dissipation, no self-bath]] | * [[T-9| Localization on Bethe lattice (2/2): stability & mobility edge (Valentina)]] <!--[[Media:2025 P9 solutions.pdf| Sol Prob.9 ]] --> [[Media:2025_localization_notes.pdf| Notes: Localization: no dissipation, no self-bath]] | ||
| Line 111: | Line 122: | ||
[https://colab.research.google.com/drive/13z_RnRlCq5p3ihDQulOPftqb05nsrTqQ?usp=sharing| Homework 1: notebook]--> | [https://colab.research.google.com/drive/13z_RnRlCq5p3ihDQulOPftqb05nsrTqQ?usp=sharing| Homework 1: notebook]--> | ||
= | = Evaluation and exam = | ||
The students have two possibilities: | |||
<!--The students have two possibilities: | |||
(1) A final written exam which counts for the total grade. | (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). | (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). | ||
'''The written exam will be on Monday, March 31st 2025 in the Jussieu campus, Room 101, Tours 14 - 24, from 2pm to 5pm.'''--> | |||
Latest revision as of 19:50, 17 January 2026
Welcome to the WIKI page of the M2 ICFP course on the Statistical Physics of Disordered Systems, second semester 2026.
Where and When
- Each Monday at 2pm - 6 pm, from January 19th to March 23rd. No lecture on 23/02/26.
- Room 202 in Jussieu campus, Tours 54-55.
- Each session is a mixture of lectures and exercises.
The Team
- Valentina Ros - vale1925@gmail.com
- Alberto Rosso - alberto.rosso74@gmail.com
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). Below is a list of topics discussed during the course.
Finite-dimensional disordered systems:
- Introduction to disordered systems and to the spin glass transition.
- Interface growth. Directed polymers in random media. Scenarios for the glass transition: the glass transition in KPZ in d>2.
- Depinning and avalanches. Bienaymé-Galton-Watson processes.
- Anderson localization: introduction. Localization in 1D: transfer matrix and Lyapunov.
Mean-field disordered systems:
- The simplest spin-glass: solution of the Random Energy Model.
- The replica method: the solution of the spherical p-spin model. Sketch of the solution of Sherrington Kirkpatrick model (full RSB).
- Towards glassy dynamics: rugged landscapes. Slow dynamics and aging: the trap model.
- The Anderson model on the Bethe lattice: the mobility edge.
Lectures and tutorials
| Date | 14h00-15h45 | 16h00-17h45 |
|---|---|---|
| Week 1 (19/01) | ||
| Week 2 (26/01) | ||
| Week 3 (02/02) | ||
| Week 4 (9/02) | ||
| Week 5 (16/02) | ||
| Week 6 (02/03) | ||
| Week 7 (9/03) | ||
| Week 8 (16/03) | ||
| Week 9 (23/03) |