On Some Random Billiards in a Tube with Superdiffusion

Journal of Statistical Physics, vol. 192

Abstract

Abstract We consider a class of random billiards in a tube, where reflection angles at collisions with the boundary of the tube are random variables rather than deterministic (and elastic) quantities. We obtain a (non-standard) Central Limit Theorem for the displacement of a particle, which marginally fails to have a second moment w.r.t. the invariant measure of the random billiard.

Authors 3

1. Henk Bruin corresponding

   University of Vienna

   Affiliation as printed

   Faculty of Mathematics, University of Vienna, Oskar Morgensternplatz 1, 1090, Vienna, Austria

2. Niels Kolenbrander Aachen Mathematisch Instituut

   Leiden University

   Affiliation as printed

   Mathematisch Instituut, University of Leiden, Einsteinweg 55, 2333, Leiden, CC, The Netherlands

3. Dalia Terhesiu Aachen Mathematisch Instituut

   Leiden University

   Affiliation as printed

   Mathematisch Instituut, University of Leiden, Einsteinweg 55, 2333, Leiden, CC, The Netherlands