Deterministic ratchets: route to diffusive transport

Details Deterministic ratchets: route to diffusive transport Deterministic ratchets: route to diffusive transport

2002-03-06

arxiv.org/abs/cond-mat/0203129v1

Physics

Condensed Matter

Statistical Mechanics

9 pages, 5 figures, to be published in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.65.041110

The rectification efficiency of an underdamped ratchet operated in the adiabatic regime increases according to a scaling current-amplitude curve as the damping constant approaches a critical threshold; below threshold the rectified signal becomes extremely irregular and eventually its time average drops to zero. Periodic (locked) and diffusive (fully chaotic) trajectories coexist on fine tuning the amplitude of the input signal. The transition from regular to chaotic transport in noiseless ratchets is studied numerically.

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