Propagation of chaos for the thermostatted Kac master equation
Mathematical Physics
2015-06-18 v2 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1312.4301,
title = {Propagation of chaos for the thermostatted Kac master equation},
author = {Eric Carlen and Dawan Mustafa and Bernt Wennberg},
journal= {arXiv preprint arXiv:1312.4301},
year = {2015}
}