"Scars" in parametrically excited surface waves

Oded Agam; Boris L. Altshuler

doi:10.1016/S0378-4371(01)00453-8

"Scars" in parametrically excited surface waves

Oded Agam^*, Boris L. Altshuler

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Conference article › peer-review

9 Scopus citations

Abstract

We consider the Faraday surface waves of a fluid in a container with a non-integrable boundary shape. We show that, at sufficiently low frequencies, the wave patterns are "scars" selected by the instability of the corresponding periodic orbits, the dissipation at the container side walls, and interaction effects which reflect the nonlinear nature of the Faraday waves. The results explain the observation of a limited number of scars with anomalous strengths in recent experiments by Kudrolli, Abraham and Gollub.

Original language	English
Pages (from-to)	310-317
Number of pages	8
Journal	Physica A: Statistical Mechanics and its Applications
Volume	302
Issue number	1-4
DOIs	https://doi.org/10.1016/S0378-4371(01)00453-8
State	Published - 15 Dec 2001
Event	International Workshop on Frontiers in the Physics of Complex Systems - Ramat-Gan, Israel Duration: 25 Mar 2001 → 28 Mar 2001

Bibliographical note

Funding Information:
We are grateful to Arshad Kudrolli and Jerry Gollub for many discussions and communications, and for the experimental data presented in this Letter. This research was supported by Grant No. 9800065 from the USA–Israel Binational Science Foundation (BSF).

Keywords

Boundary dissipation
Faraday waves
Scars

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10.1016/S0378-4371(01)00453-8

Cite this

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AU - Agam, Oded

AU - Altshuler, Boris L.

N1 - Funding Information: We are grateful to Arshad Kudrolli and Jerry Gollub for many discussions and communications, and for the experimental data presented in this Letter. This research was supported by Grant No. 9800065 from the USA–Israel Binational Science Foundation (BSF).

PY - 2001/12/15

Y1 - 2001/12/15

N2 - We consider the Faraday surface waves of a fluid in a container with a non-integrable boundary shape. We show that, at sufficiently low frequencies, the wave patterns are "scars" selected by the instability of the corresponding periodic orbits, the dissipation at the container side walls, and interaction effects which reflect the nonlinear nature of the Faraday waves. The results explain the observation of a limited number of scars with anomalous strengths in recent experiments by Kudrolli, Abraham and Gollub.

AB - We consider the Faraday surface waves of a fluid in a container with a non-integrable boundary shape. We show that, at sufficiently low frequencies, the wave patterns are "scars" selected by the instability of the corresponding periodic orbits, the dissipation at the container side walls, and interaction effects which reflect the nonlinear nature of the Faraday waves. The results explain the observation of a limited number of scars with anomalous strengths in recent experiments by Kudrolli, Abraham and Gollub.

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T2 - International Workshop on Frontiers in the Physics of Complex Systems

Y2 - 25 March 2001 through 28 March 2001

ER -

"Scars" in parametrically excited surface waves

Abstract

Bibliographical note

Keywords

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