Statistically Locked-in Transport Through Periodic Potential Landscapes
arXiv:cond-mat/0311117 · doi:10.1103/PhysRevLett.92.130602
Abstract
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.
arXiv commentREVTeX with EPS figures, 4 pages, 4 figures
References in corpus (4)
- Phase Locking, Devil's Staircases, Farey Trees, and Arnold Tongues in Driven Vortex Lattices with Periodic Pinning
- Brownian Dynamics of a Sphere Between Parallel Walls
- Devil's Staircase in Magnetoresistance of a Periodic Array of Scatterers
- Oscillatory Driving of Crystal surfaces: a Route to Controlled Pattern Formation
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