Exponential Fermi Acceleration in a Switching Billiard

被引：0

作者：

Karagulyan, Davit ^{[1
]}

Zhou, Jing ^{[2
]}

机构：

[1] Royal Inst Technol, Dept Math, Stockholm, Sweden

[2] Penn State Univ, Dept Math, University Pk, PA 16802 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2023年 / 397卷 / 02期

关键词：

INSTABILITY; STABILITY; SYSTEMS;

D O I：

10.1007/s00220-022-04505-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we show the existence of an infinite measure set of exponentially escaping orbits for a resonant Fermi accelerator, which is realised as a square billiard with a periodically oscillating platform. We use normal forms to describe the energy change in a period and employ techniques from the theory of hyperbolic systems with singularities to show the exponential drift given by these normal forms on a divided time-energy phase.

引用

页码：901 / 935

页数：35

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