Large-scale limits of interacting particle systems

Collection Large-scale limits of interacting particle systems

Organizer(s) Mitia Duerinckx, Sergio Simonella, and Raphael Winter
Date(s) 04/10/2021 - 08/10/2021
linked URL'21.html
00:00:00 / 00:00:00
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Quantum Lorentz gas in the Boltzmann-Grad limit: random vs periodic

By Jens Marklof

A major challenge in the kinetic theory of gases is to establish the convergence of the dynamics to a macroscopic transport process described by the appropriate kinetic equation. In the case of the quantum Lorentz gas with random potentials, important studies of Spohn, Erdos-Yau, Eng-Erdos and others have identified the linear Boltzmann equation as the correct limit. In this lecture I will discuss periodic potentials in the Boltzmann-Grad scaling, and report on a new limiting random process which is incompatible with the linear Boltzmann equation. Based on joint work with Jory Griffin (Oklahoma), J. Stat. Phys. 184 (2021).

Information about the video

  • Date of recording 08/10/2021
  • Date of publication 13/10/2021
  • Institution IHES
  • Language English
  • Director(s) Mandarine Audiovisuel
  • Format MP4

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