Scaling Limits from Microscopic to Macroscopic Physics (event 2354)
Limites asymptotiques de la physique microscopique vers la physique macroscopique
Dates: 18-22 January 2021
Place: CIRM (Marseille Luminy, France)
All times are Central European Time
Joining the various rooms
Discussion Rooms will be open at all times day and night during the event week to facilitate interaction. 
You may choose to leave questions on the slides or shared notes or type in questions in the Chat Box and of course talk to each other.
Do not hesitate to arrange to meet in one of the rooms with other interested participants and speakers to discuss things, run a problem session or just have a social gathering!
NB: Lecture and discussion  rooms are available to registered participants only. Access codes will be sent by the organizers.

Using the Big Blue Button application

One of the central topics in mathematical physics is to understand the transition from microscopic, N-body dynamics to their macroscopic mean- field limits. This includes mean-field limits at both quantum and classical levels. Such studies are connected with Hilbert’s sixth problem to axiomatize physics, thus are of significant theoretical interest. They are also central to the design of multi-scale computational methods.

This school involves 4-6 mini-courses aimed at teaching Ph.D students and young researchers these topics, such as the mean field limits of N-body quantum dynamics and N-body classical particles, and fluid dynamic limits of kinetic equations, and the corresponding multi-scale numerical methods (Asymptotic-preserving schemes, multi-scale Monte-Carlo methods, and so on).

L’un des thèmes centraux de la physique mathématique est de comprendre la transition entre la dynamique microscopique des corps N et leurs limites macroscopiques de champ moyen. Cela inclut les limites du champ moyen aux niveaux quantique et classique. De telles études sont liées au sixième problème de Hilbert visant à axiomatiser la physique, et présentent donc un intérêt théorique important. Elles sont également essentielles à la conception de méthodes de calcul multi-échelles.

Cette école comprend 4 à 6 mini-cours visant à enseigner aux étudiants en doctorat et aux jeunes chercheurs des sujets tels que les limites moyennes de champ de la dynamique quantique à N corps et des particules classiques à N corps, et les limites de la dynamique des fluides des équations cinétiques, ainsi que les méthodes numériques multi-échelles correspondantes (schémas de préservation asymptotiques, méthodes de Monte-Carlo multi-échelles, etc.)


  • Mihai Bostan (Aix-Marseille Université)
  • Shi Jin (Shanghai Jiao Tong University & Aix-Marseille Université)

Kinetic Modeling of Collective Dynamics and Self-Organization

Machine Learning and PDEs

Mean-field Limit of Quantum Mechanics

A new commutator method for averaging lemmas

  • Shi Jin (Shanghai Jiao Tong University & Aix-Marseille Université)

Asymptotic preserving methods for multi-scale physical problems

Uncertainty quantification for kinetic equations

Mathematical Transition from Newton’s Law to the Boltzmann Equation