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- W4233709452 abstract "The role of synchronization on the current of particles in periodically‐forced overdamped ratchets is studied. The main goal is to explain the mean velocity and diffusion on the basis of synchronization between the individual particles motion and the driving force. Both normal and anomalous diffusion are considered. Three cases are studied: (1) a perfect lattice with a sinusoidal driving force, (2) a lattice with quenched disorder, and (3) a perfect lattice with a square driving force. In case (1) synchronization is guaranteed over the whole parameter space and the diffusion coefficient is zero. In case (2) a trapping mechanism appears due to partial loss of synchronization. The mean velocity of the particles and the diffusion coefficient are found to have a non‐monotonic dependence on the quenched noise strength. These non‐trivial results are explained on the basis of the synchronized motion of case (1). Finally, in case (3), the system has neither temporal nor quenched noise but the strong nonlinearity of the driving force produces a very rich bifurcation pattern with synchronized as well as chaotic regions. This unexpected behavior is produced by the strong nonlinearity produced by the switching between two exactly solvable subsystems, each with its own characteristic transit time, so that the ratio between the period of the driving force and the transit times can be analyzed. Our results can be experimentally confirmed in a number of systems, including the three‐junction superconducting quantum interference devices ratchet, the rocking ratchet effect for cold atoms, and the Josephson vortex ratchet." @default.
- W4233709452 created "2022-05-12" @default.
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- W4233709452 date "2011-01-01" @default.
- W4233709452 modified "2023-09-28" @default.
- W4233709452 title "Complex Synchronization and Chaos in Driven Overdamped Ratchets" @default.
- W4233709452 doi "https://doi.org/10.1063/1.3586215" @default.
- W4233709452 hasPublicationYear "2011" @default.
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