dorsal/arxiv
View SchemaCooling gases with Levy flights: using the generalized central limit theorem in physics
| Authors | F. Bardou |
|---|---|
| Categories | |
| ArXiv ID | physics/0012049 |
| URL | https://arxiv.org/abs/physics/0012049 |
| Journal | 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) |
Abstract
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 $1/x^{1+\alpha}$ with $\alpha<2$ 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.
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"abstract": "In the last ten years, the generalized central limit theorem established by\nPaul Levy in the thirties has been found more and more relevant in physics.\nPhysicists call \u0027Levy flights\u0027 random walks for which the probability density\nof the jump lenghts $x$ decays as $1/x^{1+\\alpha}$ with $\\alpha\u003c2$ for large\n$x$. We give here a glimpse of Levy flights in physics through two examples,\nwithout going into technical details. We first introduce a simple toy model,\nthe Arrhenius cascade. We then present an important physical process, subrecoil\nlaser cooling of atomic gases, in which Levy flights play an essential role.",
"arxiv_id": "physics/0012049",
"authors": [
"F. Bardou"
],
"categories": [
"physics.atom-ph",
"cond-mat.stat-mech",
"physics.data-an"
],
"journal_ref": "Mini-proceedings: Conference on \u0027Levy processes: theory and\n applications\u0027 (Aarhus 18-22 january 1999), O. Barndorff-Nielsen, S.E.\n Graversen and T. Mikosch (eds.), MaPhySto Publication (Miscellanea no. 11,\n ISSN 1398-5957) (1999)",
"title": "Cooling gases with Levy flights: using the generalized central limit theorem in physics",
"url": "https://arxiv.org/abs/physics/0012049"
},
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