GUÉRIN, Thomas; DEAN, David S.

doi:10.1103/PhysRevE.95.012109

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GUÉRIN, Thomas
Laboratoire Ondes et Matière d'Aquitaine [LOMA]

DEAN, David S.
Laboratoire Ondes et Matière d'Aquitaine [LOMA]

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Physical Review E. 2017-01-06, vol. 95, n° 1, p. 012109 (1-7)

American Physical Society (APS)

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We consider the time-dependent dispersion properties of overdamped tracer particles diffusing in a one-dimensional periodic potential under the influence of an additional constant tilting force F. The system is studied in the region where the force is close to the critical value F c at which the barriers separating neighboring potential wells disappear. We show that, when F crosses the critical value, the shape of the mean-square displacement (MSD) curves is strongly modified. We identify a diffusive regime at intermediate-time scales with an effective diffusion coefficient which is much larger than the late-time diffusion coefficient for F > F c , whereas for F < F c the late-time and intermediate-time diffusive regimes are indistinguishable. Explicit asymptotic regimes for the MSD curves are identified at all time scales.< Leer menos

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Universal time-dependent dispersion properties for diffusion in a one-dimensional critically tilted potential

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