To the top

Page Manager: Webmaster
Last update: 9/11/2012 3:13 PM

Tell a friend about this page
Print version

Propagation of Chaos for … - University of Gothenburg, Sweden Till startsida
To content Read more about how we use cookies on

Contact form


Note! If you want an answer on a question you must specify your email address

Propagation of Chaos for the Thermostatted Kac Master Equation

Journal article
Authors E. Carlen
Dawan Mustafa
Bernt Wennberg
Published in Journal of statistical physics
Volume 158
Issue 6
Pages 1341-1378
ISSN 0022-4715
Publication year 2015
Published at Department of Mathematical Sciences
Department of Mathematical Sciences, Mathematics
Pages 1341-1378
Language en
Keywords Master equation, Propagation of chaos, Kinetic equation with a thermostat
Subject categories Mathematics


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.

Page Manager: Webmaster|Last update: 9/11/2012

The University of Gothenburg uses cookies to provide you with the best possible user experience. By continuing on this website, you approve of our use of cookies.  What are cookies?