paper

From antinode clusters to node clusters: The concentration dependent transition of floaters on a standing Faraday wave

arXiv:1202.0051 · doi:10.1103/PhysRevE.89.053011

Abstract

A hydrophilic floating sphere that is denser than water drifts to an amplitude maximum (antinode) of a surface standing wave. A few identical floaters therefore organize into antinode clusters. However, beyond a transitional value of the floater concentration , we observe that the same spheres spontaneously accumulate at the nodal lines, completely inverting the self-organized particle pattern on the wave. From a potential energy estimate we show (i) that at low antinode clusters are energetically favorable over nodal ones and (ii) how this situation reverses at high , in agreement with the experiment.

[accepted PRE 2014] 9 pages, 9 figures

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