Statistically Locked-in Transport Through Periodic Potential Landscapes

Physics – Condensed Matter – Soft Condensed Matter

Scientific paper

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REVTeX with EPS figures, 4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.92.130602

Classical particles driven through periodically modulated potential energy landscapes are predicted to follow a Devil's staircase hierarchy of commensurate trajectories depending on the orientation of the driving force. Recent experiments on colloidal spheres flowing through arrays of optical traps do indeed reveal such a hierarchy,but not with the predicted structure. The microscopic trajectories, moreover,appear to be random, with commensurability emerging only in a statistical sense. We introduce an idealized model for periodically modulated transport in the presence of randomness that captures both the structure and statistics of such statistically locked-in states.

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