Average patterns in Faraday waves

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Abstract
Disordered waves at the surface of a vertically oscillated fluid layer have a nontrivial time average. Using an image-reduction scheme we study the surface dynamics that leads to this average state. We show that the average state arises because wave maxima move erratically but are attracted to the nodes of a lattice. This lattice does not correspond to a simpler linear eigenmode of the surface. Both the surface dynamics and the appearance of the average state strongly depend on the boundary condition.

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