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arXiv physics/0012049physics.atom-phcond-mat.stat-mechphysics.data-an
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用Levy流片冷却气体:利用物理学中的广义中心极限定理

Cooling gases with Levy flights: using the generalized central limit theorem in physics

F. Bardou

摘要:

在最近的十年里,PaulLevy在30年代建立的广义中心极限定理在物理学中的应用越来越广泛。物理学家称之为“列维飞行”随机游动,其中跳跃长度$x$的概率密度衰减为$1/x^{1+α}$,对于大的$x$,衰减为$α<2$。我们在这里通过两个例子来了解物理学中的Levy飞行,而不涉及技术细节。我们首先介绍一个简单的玩具模型,Arabius瀑布。然后,我们提出了一个重要的物理过程,亚反冲激光冷却的原子气体,其中Levy航班起着至关重要的作用。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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