In driven overdamped particle transport mediated by solitary cluster waves, the total particle displacement per soliton period equals exactly one potential wavelength, proven for sinusoidal potentials at vanishing drag and verified numerically for finite drag and a non-sinusoidal potential.
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Cluster sizes, particle displacements and currents in transport mediated by solitary cluster waves
In driven overdamped particle transport mediated by solitary cluster waves, the total particle displacement per soliton period equals exactly one potential wavelength, proven for sinusoidal potentials at vanishing drag and verified numerically for finite drag and a non-sinusoidal potential.