Temperature Resistant Optimal Ratchet Transport

C. Manchein, A. Celestino, and M. W. Beims
Phys. Rev. Lett. 110, 114102 – Published 14 March 2013

Abstract

Stable periodic structures containing optimal ratchet transport, recently found in the parameter space dissipation versus ratchet parameter by [A. Celestino et al. Phys. Rev. Lett. 106, 234101 (2011)], are shown to be resistant to reasonable temperatures, reinforcing the expectation that they are essential to explain the optimal ratchet transport in nature. Critical temperatures for their destruction, valid from the overdamping to close to the conservative limits, are obtained numerically and shown to be connected to the current efficiency, given here analytically. A region where thermal activation of the rachet current takes place is also found, and its underlying mechanism is unveiled. Results are demonstrated for a discrete ratchet model and generalized to the Langevin equation with an additional external oscillating force.

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  • Received 8 November 2012

DOI:https://doi.org/10.1103/PhysRevLett.110.114102

© 2013 American Physical Society

Authors & Affiliations

C. Manchein1, A. Celestino2, and M. W. Beims2,3

  • 1Departamento de Física, Universidade do Estado de Santa Catarina, 89219-710 Joinville, Brazil
  • 2Departamento de Física, Universidade Federal do Paraná, 81531-980 Curitiba, Brazil
  • 3Max-Planck-Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, 01187 Dresden, Germany

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Vol. 110, Iss. 11 — 15 March 2013

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