Propagation of Chaos for the Thermostatted Kac Master Equation
Journal article, 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

Author

E. Carlen

Dawan Mustafa

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Bernt Wennberg

University of Gothenburg

Chalmers, Mathematical Sciences

Journal of Statistical Physics

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

Vol. 158 6 1341-1378

Subject Categories

Mathematics

DOI

10.1007/s10955-014-1155-z

More information

Created

10/7/2017