Fermi acceleration and scaling properties of a time dependent oval billiard

被引：37

作者：

Leonel, Edson D. ^{[1
]}

Oliveira, Diego F. M. ^{[2
]}

Loskutov, Alexander ^{[1
,3
]}

机构：

[1] Univ Estadual Paulista, Dept Estat Matemat Aplicada & Computacao, BR-13506900 Sao Paulo, Brazil

[2] Univ Estadual Paulista, Dept Fis, BR-13506900 Sao Paulo, Brazil

[3] Moscow MV Lomonosov State Univ, Fac Phys, Moscow 119899, Russia

来源：

CHAOS | 2009年 / 19卷 / 03期

基金：

巴西圣保罗研究基金会;

关键词：

chaos; classical mechanics; geometry; nonlinear dynamical systems; BOUNCER MODEL; DYNAMICS;

D O I：

10.1063/1.3227740

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the phenomenon of Fermi acceleration for a classical particle inside an area with a closed boundary of oval shape. The boundary is considered to be periodically time varying and collisions of the particle with the boundary are assumed to be elastic. It is shown that the breathing geometry causes the particle to experience Fermi acceleration with a growing exponent rather smaller as compared to the no breathing case. Some dynamical properties of the particle's velocity are discussed in the framework of scaling analysis.

引用

页数：7

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