Propagation of Chaos for the Thermostatted Kac Master Equation
Artikel i vetenskaplig tidskrift, 2015

The Kac model is a simplified model of an -particle system in which the collisions of a real particle system are modeled by random jumps of pairs of particle velocities. Kac proved propagation of chaos for this model, and hence provided a rigorous validation of the corresponding Boltzmann equation. Starting with the same model we consider an -particle system in which the particles are accelerated between the jumps by a constant uniform force field which conserves the total energy of the system. We show propagation of chaos for this model.

Kinetic equation with a thermostat

Propagation of chaos

Master equation


E. Carlen

Dawan Mustafa

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Bernt Wennberg

Göteborgs universitet

Chalmers, Matematiska vetenskaper

Journal of Statistical Physics

0022-4715 (ISSN) 1572-9613 (eISSN)

Vol. 158 1341-1378