TY - JOUR
T1 - Broken Symmetries and Pattern Formation in Two-Frequency Forced Faraday Waves
AU - Porter, Jeff
AU - Silber, Mary
PY - 2002
Y1 - 2002
N2 - We exploit the approximate (broken) symmetries of time translation, time reversal, and Hamiltonian structure to obtain general scaling laws governing the process of pattern formation in weakly damped Faraday waves. Using explicit parameter symmetries we determine, for the case of two-frequency forcing, how the strength of observed three-wave interactions depends on the frequency ratio and on the relative phase of the two driving terms. These symmetry-based predictions are verified for numerically calculated coefficients, and help explain the results of recent experiments.
AB - We exploit the approximate (broken) symmetries of time translation, time reversal, and Hamiltonian structure to obtain general scaling laws governing the process of pattern formation in weakly damped Faraday waves. Using explicit parameter symmetries we determine, for the case of two-frequency forcing, how the strength of observed three-wave interactions depends on the frequency ratio and on the relative phase of the two driving terms. These symmetry-based predictions are verified for numerically calculated coefficients, and help explain the results of recent experiments.
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U2 - 10.1103/PhysRevLett.89.084501
DO - 10.1103/PhysRevLett.89.084501
M3 - Article
C2 - 12190471
AN - SCOPUS:0037135917
VL - 89
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 8
ER -