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Phys. Rev. E 70, 066109 (2004) [15 pages]

Transport via nonlinear signal mixing in ratchet devices

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Sergey Savel’ev1, Fabio Marchesoni1,2, Peter Hänggi3,1, and Franco Nori1,4
1Frontier Research System, The Institute of Physical and Chemical Research (RIKEN), Wako-shi, Saitama, 351-0198, Japan
2Dipartimento di Fisica, Universitá di Camerino, I-62032 Camerino, Italy
3Institute of Physics, University of Augsburg, Universitätsstrasse 1, D-86135 Augsburg, Germany
4Center for Theoretical Physics, Department of Physics, University of Michigan, Ann Arbor, Michigan 48109-1120, USA

Received 3 May 2004; published 3 December 2004

The nonlinear signal mixing of two driving forces is used to control transport in overdamped ratchet devices. The interplay between the relative phase and the frequency ratio of the two driving forces is sufficient to generate an intriguing transport action that can be put to work to optimize shuttling and separation of particles in a variety of physical and technological applications. Analytic results for a striking multiple current reversal behavior including prominent, spikelike current features are obtained for doubly rocked and rocked-pulsated Brownian ratchets. This tunable signal mixing is readily implementable and exhibits even richer behaviors than those realized by the hard-to-implement modifiable-ratchet profiles.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.70.066109
DOI:
10.1103/PhysRevE.70.066109
PACS:
05.40.−a, 05.60.Cd, 87.16.Uv