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

共 50 条

[1] Exponential Fermi Acceleration in a Switching Billiard
Davit Karagulyan
Jing Zhou
Communications in Mathematical Physics, 2023, 397 : 901 - 935
[2] Fermi acceleration on the annular billiard
Departamento de Estatística, Matemática Aplicada e Computação, Instituto de Geociěncias e Ciěncias Exatas, UNESP, Avenida 24A, 1515-Bela Vista, 13506-700, Rio Claro, Sao Paulo, Brazil
Phys. Rev. E Stat. Nonlinear Soft Matter Phys., 2006, 6
[3] Fermi acceleration on the annular billiard: a simplified version
de Carvalho, RE
de Souza, FC
Leonel, ED
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (14): : 3561 - 3573
[4] Tunable fermi acceleration in the driven elliptical billiard
Lenz, F.
Diakonos, F. K.
Schmelcher, P.
PHYSICAL REVIEW LETTERS, 2008, 100 (01)
[5] Suppressing Fermi Acceleration in a Driven Elliptical Billiard
Leonel, Edson D.
Bunimovich, Leonid A.
PHYSICAL REVIEW LETTERS, 2010, 104 (22)
[6] Tunable Fermi acceleration in a nondissipative driven magnetic billiard
Castaldi, B.
Egydio de Carvalho, R.
Vieira Abud, C.
Mijolaro, A. P.
PHYSICAL REVIEW E, 2014, 89 (01):
[7] Fermi acceleration and scaling properties of a time dependent oval billiard
Leonel, Edson D.
Oliveira, Diego F. M.
Loskutov, Alexander
CHAOS, 2009, 19 (03)
[8] Fermi acceleration on the annular billiard (vol 73, pg 066229, 2006)
de Carvalho, R. Egydio
Souza, F. Caetano
Leonel, Edson D.
PHYSICAL REVIEW E, 2006, 74 (01):
[9] Phase space interpretation of exponential Fermi acceleration
Liebchen, Benno
Buechner, Robert
Petri, Christoph
Diakonos, Fotis K.
Lenz, Florian
Schmelcher, Peter
NEW JOURNAL OF PHYSICS, 2011, 13
[10] Decay of energy and suppression of Fermi acceleration in a dissipative driven stadium-like billiard
Livorati, Andre L. P.
Caldas, Ibere L.
Leonel, Edson D.
CHAOS, 2012, 22 (02)

← 1 2 3 4 5 →