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A hydrophilic floating sphere that is denser than water drifts to anamplitude maximum (antinode) of a surface standing wave. A few identicalfloaters therefore organize into antinode clusters. However, beyond atransitional value of the floater concentration $\phi$, we observe that thesame spheres spontaneously accumulate at the nodal lines, completely invertingthe self-organized particle pattern on the wave. From a potential energyestimate we show (i) that at low $\phi$ antinode clusters are energeticallyfavorable over nodal ones and (ii) how this situation reverses at high $\phi$,in agreement with the experiment.

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