Journal of Statistical Physics

, Volume 124, Issue 2–4, pp 859–880

The Kac Equation with a Thermostatted Force Field

  • B. Wennberg
  • Y. Wondmagegne
Article

DOI: 10.1007/s10955-005-9020-8

Cite this article as:
Wennberg, B. & Wondmagegne, Y. J Stat Phys (2006) 124: 859. doi:10.1007/s10955-005-9020-8

Abstract

We consider the Kac equation with a thermostatted force field and prove the existence of a global in time solution that converges weakly to a stationary state. As there is no an obvious candidate for the entropy functional, in this case, the convergence result is obtained via Fourier transform techniques.

Keywords

Boltzmann equation Kac equation Gaussian thermostat 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science + Business Media, Inc. 2006

Authors and Affiliations

  • B. Wennberg
    • 1
  • Y. Wondmagegne
    • 1
  1. 1.Department of Mathematical SciencesChalmers University of Technology and Göteborg UniversityGöteborgSweden

Personalised recommendations