Bound states of topological defects in parametrically excited capillary ripples. (English) Zbl 1008.76014
Summary: We investigate theoretically and experimentally bound states of topological defects arising at parametric excitation of waves on the surface of a vertically vibrating thin layer of viscous fluid. Stably existing bound states of two topological defects having like charges are observed. The distance between the topological defects is found to depend on supercriticality and on the depth of liquid layer. Analysis of the phase field of the bound states of topological defects reveals quadrupolar components. We construct an approximate theory that allows to calculate the phase fields of bound states and to determine the dependence of the distance between defects on governing parameters. It is shown that theoretical calculations give a correct explanation of data obtained in experiments.
MSC:
| 76D45 | Capillarity (surface tension) for incompressible viscous fluids |
| 76M22 | Spectral methods applied to problems in fluid mechanics |
| 76-05 | Experimental work for problems pertaining to fluid mechanics |
Keywords:
capillary ripples; Fourier transform; bound states; topological defects; parametric excitation; vertically vibrating thin layer; viscous fluidReferences:
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