Secondary Instabilities of Surface Waves on Viscous Fluids in the Faraday Instability

Details Secondary Instabilities of Surface Waves on Viscous Fluids in the Faraday Instability Secondary Instabilities of Surface Waves on Viscous Fluids in the Faraday Instability

1995-10-26

arxiv.org/abs/patt-sol/9510006v1

Nonlinear Sciences

Pattern Formation and Solitons

REVTEX, with 3 separate uuencoded figures, to appear in Europhys. Lett

Scientific paper

10.1209/0295-5075/32/4/005

Secondary instabilities of Faraday waves show three regimes: (1) As seen previously, low-viscosity (nu) fluids destabilize first into squares. At higher driving accelerations a, squares show low-frequency modulations corresponding to the motion of phase defects, while theory predicts a stationary transverse amplitude modulation (TAM). (2) High-nu fluids destabilize first to stripes. Stripes then show an oscillatory TAM whose frequency is incommensurate with the driving frequency. At higher a, the TAM undergoes a phase instability. At still higher a, edge dislocations form and fluid droplets are ejected. (3) Intermediate-nu fluids show a complex coexistence of squares and stripes, as well as stationary and oscillatory TAM instabilities of the stripes.

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