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||American English|
|Number of pages||8|
|Journal||Physica A: Statistical Mechanics and its Applications|
|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 noteFunding 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).
- Boundary dissipation
- Faraday waves