Lh. Pan et Jr. Debruyn, SPATIALLY UNIFORM TRAVELING CELLULAR-PATTERNS AT A DRIVEN INTERFACE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(1), 1994, pp. 483-493
We report on a study of asymmetric, traveling patterns which develop a
t a driven fluid-air interface in the experimental system known as the
printer's instability. We find that the traveling pattern appears via
a supercritical parity-breaking transition, at which the pattern lose
s its reflection symmetry and begins to drift with constant speed. Fro
m measurements of the degree of asymmetry of the drifting pattern as a
function of the experimental control parameter, we find that the asym
metry increases with the square root of the control parameter, and tha
t the drift velocity is linear in the asymmetry. This behavior is in a
ccord with recent theoretical predictions. Our results do not agree, h
owever, with the predictions of a model of the parity-breaking transit
ion involving the coupling of spatial modes with wave numbers q and 2q
.