Search
Talk

Decay of Entropy and Information of multidimensional Kac models coupled to large systems

  • Lukas Hauger (Universität Stuttgart)
G3 10 (Lecture hall)

Abstract

We study the approach to equilibrium in relative entropy of systems of gas particles modeled via the Kac master equation in arbitrary dimensions. First, we investigate the Kac system coupled to a thermostat, and secondly connected to a heat reservoir. As a result, we obtain exponential decay rates for the entropy and information that are essentially independent of the size of the systems. The use of the Fisher-information allows simple proofs with weak regularity assumptions.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of This Seminar

  • Mar 11, 2024 tba with Carlos Román Parra
  • Mar 15, 2024 tba with Esther Bou Dagher
  • Mar 27, 2024 tba with Christian Wagner
  • May 21, 2024 tba with Immanuel Zachhuber