Lh. Pan et Jr. Debruyn, NONUNIFORM BROKEN-PARITY WAVES AND THE ECKHAUS INSTABILITY, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(3), 1994, pp. 2119-2129
We report measurements on broken-parity traveling finger patterns whic
h form at an oil-air interface driven by the rotation of two acentrica
lly mounted horizontal cylinders. In the parameter region studied here
, the wavelength, traveling speed, and degree of asymmetry of the trav
eling fingers vary along the interface. As our control parameter is in
creased, we observe a transition at which the average values of these
properties suddenly decrease. The traveling patterns are intermittentl
y interrupted by periods of disordered behavior, which become more fre
quent near this transition. The variation of wavelength along the patt
ern allows us to observe what appears to be the Eckhaus instability: o
utside a range of wavelengths, the drifting fingers become unstable, r
esulting in the birth of new fingers if the local wavelength is too lo
ng, or the disappearance of a finger if it is too short. We measure th
e Eckhaus stability boundary for this system.