Recurrence of particles in static and time varying oval billiards

Edson D. Leonel; Carl P. Dettmann

doi:10.1016/j.physleta.2012.03.056

Recurrence of particles in static and time varying oval billiards

Edson D. Leonel, Carl P. Dettmann

Research output: Contribution to journal › Article (Academic Journal) › peer-review

11 Citations (Scopus)

Abstract

Dynamical properties are studied for escaping particles, injected through a hole in an oval billiard. The dynamics is considered for both static and periodically moving boundaries. For the static boundary, two different decays for the recurrence time distribution were observed after exponential decay for short times: A changeover to: (i) power law or; (ii) stretched exponential. Both slower decays are due to sticky orbits trapped near KAM islands, with the stretched exponential apparently associated with a single group of large islands. For time dependent case, survival probability leads to the conclusion that sticky orbits are less evident compared with the static case. (C) 2012 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	1669-1674
Number of pages	6
Journal	Physics Letters A
Volume	376
Issue number	20
DOIs	https://doi.org/10.1016/j.physleta.2012.03.056
Publication status	Published - 16 Apr 2012

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title = "Recurrence of particles in static and time varying oval billiards",

abstract = "Dynamical properties are studied for escaping particles, injected through a hole in an oval billiard. The dynamics is considered for both static and periodically moving boundaries. For the static boundary, two different decays for the recurrence time distribution were observed after exponential decay for short times: A changeover to: (i) power law or; (ii) stretched exponential. Both slower decays are due to sticky orbits trapped near KAM islands, with the stretched exponential apparently associated with a single group of large islands. For time dependent case, survival probability leads to the conclusion that sticky orbits are less evident compared with the static case. (C) 2012 Elsevier B.V. All rights reserved.",

author = "Leonel, {Edson D.} and Dettmann, {Carl P.}",

year = "2012",

month = apr,

day = "16",

doi = "10.1016/j.physleta.2012.03.056",

language = "English",

volume = "376",

pages = "1669--1674",

journal = "Physics Letters A",

issn = "0375-9601",

publisher = "North-Holland Publishing Company",

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TY - JOUR

T1 - Recurrence of particles in static and time varying oval billiards

AU - Leonel, Edson D.

AU - Dettmann, Carl P.

PY - 2012/4/16

Y1 - 2012/4/16

N2 - Dynamical properties are studied for escaping particles, injected through a hole in an oval billiard. The dynamics is considered for both static and periodically moving boundaries. For the static boundary, two different decays for the recurrence time distribution were observed after exponential decay for short times: A changeover to: (i) power law or; (ii) stretched exponential. Both slower decays are due to sticky orbits trapped near KAM islands, with the stretched exponential apparently associated with a single group of large islands. For time dependent case, survival probability leads to the conclusion that sticky orbits are less evident compared with the static case. (C) 2012 Elsevier B.V. All rights reserved.

AB - Dynamical properties are studied for escaping particles, injected through a hole in an oval billiard. The dynamics is considered for both static and periodically moving boundaries. For the static boundary, two different decays for the recurrence time distribution were observed after exponential decay for short times: A changeover to: (i) power law or; (ii) stretched exponential. Both slower decays are due to sticky orbits trapped near KAM islands, with the stretched exponential apparently associated with a single group of large islands. For time dependent case, survival probability leads to the conclusion that sticky orbits are less evident compared with the static case. (C) 2012 Elsevier B.V. All rights reserved.

U2 - 10.1016/j.physleta.2012.03.056

DO - 10.1016/j.physleta.2012.03.056

M3 - Article (Academic Journal)

VL - 376

SP - 1669

EP - 1674

JO - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

IS - 20

ER -

Recurrence of particles in static and time varying oval billiards

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