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Title: Grid states and nonlinear selection in parametrically excited surface waves

Abstract

Interacting surface waves, parametrically excited by two commensurate frequencies (Faraday waves), yield a rich family of nonlinear states, which result from a variety of three-wave resonant interactions. By perturbing the system with a third frequency, we selectively favor different nonlinear wave interactions. Where quadratic nonlinearities are dominant, the only observed patterns correspond to 'grid' states. Grid states are superlattices in which two corotated sets of critical wave vectors are spanned by a sublattice whose basis states are linearly stable modes. Specific driving phase combinations govern the selection of different grid states.

Authors:
;  [1]
  1. Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904 (Israel)
Publication Date:
OSTI Identifier:
21069768
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; Journal Volume: 73; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevE.73.055302; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; FLUIDS; INTERACTIONS; NONLINEAR PROBLEMS; SUPERLATTICES; VECTORS; WAVE PROPAGATION

Citation Formats

Epstein, T., and Fineberg, J. Grid states and nonlinear selection in parametrically excited surface waves. United States: N. p., 2006. Web. doi:10.1103/PHYSREVE.73.055302.
Epstein, T., & Fineberg, J. Grid states and nonlinear selection in parametrically excited surface waves. United States. doi:10.1103/PHYSREVE.73.055302.
Epstein, T., and Fineberg, J. Mon . "Grid states and nonlinear selection in parametrically excited surface waves". United States. doi:10.1103/PHYSREVE.73.055302.
@article{osti_21069768,
title = {Grid states and nonlinear selection in parametrically excited surface waves},
author = {Epstein, T. and Fineberg, J.},
abstractNote = {Interacting surface waves, parametrically excited by two commensurate frequencies (Faraday waves), yield a rich family of nonlinear states, which result from a variety of three-wave resonant interactions. By perturbing the system with a third frequency, we selectively favor different nonlinear wave interactions. Where quadratic nonlinearities are dominant, the only observed patterns correspond to 'grid' states. Grid states are superlattices in which two corotated sets of critical wave vectors are spanned by a sublattice whose basis states are linearly stable modes. Specific driving phase combinations govern the selection of different grid states.},
doi = {10.1103/PHYSREVE.73.055302},
journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},
number = 5,
volume = 73,
place = {United States},
year = {Mon May 15 00:00:00 EDT 2006},
month = {Mon May 15 00:00:00 EDT 2006}
}