Dispersionless motion in a driven periodic potential

Abstract

Recently, dispersionless (coherent) motion of (noninteracting) massive Brownian particles, at intermediate time scales, was reported in a sinusoidal potential with a constant tilt. The coherent motion persists for a finite length of time before the motion becomes diffusive. We show that such coherent motion can be obtained repeatedly by applying an external zero-mean square-wave drive of appropriate period and amplitude, instead of a constant tilt. Thus, the cumulative duration of coherent motion of particles is prolonged. Moreover, by taking an appropriate combination of periods of the external field, one can postpone the beginning of the coherent motion and can even have coherent motion at a lower value of position dispersion than in the constant tilt case.

4 pages, 4 figures

References in corpus (3)

• From subdiffusion to superdiffusion of particles on solid surfaces
• Dispersionless transport in a washboard potential
• Motional dispersions and ratchet effect in inertial systems

Cited by in corpus (5)

• Coexistence of absolute negative mobility and anomalous diffusion
• Dynamic mode locking in a driven colloidal system: experiments and theory
• Temperature-abnormal diffusivity in underdamped space-periodic systems driven by external time-periodic force
• Ratchet effect in an underdamped periodic potential and its characterisation
• On dispersionless transport in washboard potentials