M2ICFP Advanced Statistical Mechanics 2023-2024

Exam: Jan Xth, 2024, 09:00-12:00. 

All hand-written documents are allowed (no typeset document allowed: no lecture notes, no tutorials, no written out solutions ; printed notes taken on a tablet allowed upon request, printout on demand). No electronic devices allowed (not even the cell phone). Graded homework as a midterm (30%).

Lectures & Tutorials on Fridays: 08:30 - 10:30 (Lectures) & 10:45 - 12:45 (Tutorials). 

Dates :  08/09, 15/09, 22/09, 29/09, 06/10, 13/10, 20/10, 27/10, 17/11, 24/11, 01/12, 08/12, 15/12

Location: Room 101.14.24 on the Sorbonne Université Jussieu Campus.

Tutorials by Charlie Duclut

Some useful prerequisites (by E. Trizac, M. Lenz & FvW).

Exercises & past homework and exam

Outline of the lectures

Chapter 1 Statistical dynamics and Markov processes

Chapter 2 Stochastic processes

Chapter 3 Time reversal and its consequences

Chapter 4 Metastability and rare events

Chapter 5 The mean-field approximation

Chapter 6 Exactly solvable models

Chapter 7 Critical dynamics and mesoscopic descriptions

References

Van Kampen, Stochastics processes in physics and chemistry

Risken, The Fokker-Planck equation

Gardiner, Stochastic methods

Täuber, Critical Dynamics A Field Theory Approach to Equilibrium and Non-Equilibrium Scaling Behavior

Schütz, Exactly solvable models for many-body systems far from equilibrium 

De Dominicis & Giardina, Random fields and spin glasses: a field theory approach

Sekimoto, Stochastic energetics