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Deterministic ratchets: route to diffusive transport

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arxiv cond-mat/0203129 v1 pith:RHS4SL7D submitted 2002-03-06 cond-mat.stat-mech

Deterministic ratchets: route to diffusive transport

M. Borromeo , F. Marchesoni , G. Costantini This is my paper
classification cond-mat.stat-mech
keywords chaoticdiffusiveratchetssignalthresholdtransportaccordingadiabatic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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