Cooling gases with Levy flights: using the generalized central limit theorem in physics
Abstract
Description
In the last ten years, the generalized central limit theorem established by Paul Levy in the thirties has been found more and more relevant in physics. Physicists call 'Levy flights' random walks for which the probability density of the jump lenghts $x$ decays as $1/x^{1+α}$ with $α<2$ for large $x$. We give here a glimpse of Levy flights in physics through two examples, without going into technical details. We first introduce a simple toy model, the Arrhenius cascade. We then present an important physical process, subrecoil laser cooling of atomic gases, in which Levy flights play an essential role.
17 pages, 4 figures, conference proceeding
17 pages, 4 figures, conference proceeding
Citation
Consulte el texto completo en el siguiente enlace:
https://arxiv.org/abs/physics/0012049
http://arxiv.org/abs/physics/0012049
Mini-proceedings: Conference on 'Levy processes: theory and applications' (Aarhus 18-22 january 1999), O. Barndorff-Nielsen, S.E. Graversen and T. Mikosch (eds.), MaPhySto Publication (Miscellanea no. 11, ISSN 1398-5957) (1999)
http://arxiv.org/abs/physics/0012049
Mini-proceedings: Conference on 'Levy processes: theory and applications' (Aarhus 18-22 january 1999), O. Barndorff-Nielsen, S.E. Graversen and T. Mikosch (eds.), MaPhySto Publication (Miscellanea no. 11, ISSN 1398-5957) (1999)