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Dispersionless transport in a washboard potential
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We study and characterize a new dynamical regime of underdamped particles in a tilted washboard potential. We find that for small friction in a finite range of forces the particles move essentially nondispersively, that is, coherently, over long intervals of time. The associated distribution of the particle positions moves at an essentially constant velocity and is far from Gaussian-like. This new regime is complementary to, and entirely different from, well-known nonlinear response and large dispersion regimes observed for other values of the external force.
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LINDENBERG, Katja, et al. Dispersionless transport in a washboard potential. Physical Review Letters. 2007. Vol. 98, num. 2, pags. 020602-1-020602-4. ISSN 0031-9007. [consulted: 9 of October of 2026]. Available at: https://hdl.handle.net/2445/12845