The Boltzmann-Grad limit of the periodic Lorentz gas in two space dimensions

被引：20

作者：

Caglioti, Emanuele ^{[1
]}

Golse, Francois ^{[2
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat Guido Castelnuovo, I-00185 Rome, Italy

[2] Ecole Polytech, Ctr Math Laurent Schwartz, F-91128 Palaiseau, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2008年 / 346卷 / 7-8期

关键词：

D O I：

10.1016/j.crma.2008.01.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The periodic Lorentz gas is the dynamical system corresponding to the free motion of a point particle in a periodic system of fixed spherical obstacles of radius r centered at the integer points of the Euclidian plane, assuming all collisions of the particle with the obstacles to be elastic. In this Note, we study this motion on time intervals of order 1/r as r -> 0(+).

引用

页码：477 / 482

页数：6

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