Nonequilibrium stationary solutions of thermostated boltzmann equation in a field

F. Bonetto, J. L. Lebowitz

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Scopus citations


We consider a system of particles subjected to a uniform external force E and undergoing random collisions with “virtual” fixed obstacles, as in the Drude model of conductivity.1 The system is maintained in a nonequilibrium stationary state by a Gaussian thermostat. In a suitable limit the system is described by a self consistent Boltzmann equation for the one particle distribution function f. We find that after a long time f(v, t) approaches a stationary velocity distribution f(v) which vanishes for large speeds, i.e. (formula presented) for fixed v, where c depends on mean free path of the particle. f(v) is computed explicitly in one dimension.

Original languageEnglish (US)
Title of host publicationNew Trends in Statistical Physics
Subtitle of host publicationFestschrift in Honor of Leopoldo Garcia-Colin's 80th Birthday
PublisherWorld Scientific Publishing Co.
Number of pages10
ISBN (Electronic)9789814307543
ISBN (Print)981430753X, 9789814307536
StatePublished - Jan 1 2010

All Science Journal Classification (ASJC) codes

  • Biochemistry, Genetics and Molecular Biology(all)
  • Physics and Astronomy(all)


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