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Asymmetric probability densities in symmetrically modulated bistable devices

M. Borromeo1 and F. Marchesoni2

  • 1Dipartimento di Fisica, and Istituto Nazionale di Fisica Nucleare, Universitá di Perugia, I-06123 Perugia, Italy
  • 2Dipartimento di Fisica, Universitá di Camerino, I-62032 Camerino, Italy

Phys. Rev. E 71, 031105 – Published 21 March, 2005

DOI: https://doi.org/10.1103/PhysRevE.71.031105

Abstract

A Brownian particle hopping in a symmetric double-well potential can be statistically confined into a single well by the simultaneous action of (a) two periodic input signals, one tilting the minima and the other one modulating the barrier height, and (b) an additive and a purely multiplicative random signal, generated by a unique source and thus preserving a certain degree of statistical correlation. The underlying gating mechanism is quite robust when compared, for instance, with biharmonic rocking. In view of technological implementation, asymmetric confinement through gating can be conveniently maximized by tuning the input signal parameters (correlation time, phase-time lag, amplitudes), thus revealing a resonant localization mechanism of general applicability.

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References (22)

  1. See, for a review, P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. 62, 251 (1990).
  2. L. Gammaitoni et al., Rev. Mod. Phys. 70, 223 (1998).
  3. H. Risken, The Fokker-Planck Equation (Springer, Berlin, 1984).
  4. A. Tonomura, Rev. Mod. Phys. 59, 639 (1987); A. Tonomura et al., Nature (London) 412, 620 (2001).
  5. P. T. Korda, M. B. Taylor, and D. G. Grier, Phys. Rev. Lett. 89, 128301 (2002).
  6. Y. Makhlin, G. Schön, and A. Shnirman, Rev. Mod. Phys. 73, 357 (2001).
  7. See, e.g., Advances in Chemical Physics, edited by P. Gaspard and I. Berghardt (Interscience, New York, 1997), Vol. 101.
  8. M. Borromeo and F. Marchesoni, Europhys. Lett. 68, 783 (2004).
  9. S. Savelev et al., Europhys. Lett. 67, 179 (2004).
  10. C. R. Doering and J. C. Gadoua, Phys. Rev. Lett. 69, 2318 (1992).
  11. L. Gammaitoni, F. Marchesoni, and S. Santucci, Phys. Rev. Lett. 74, 1052 (1995).
  12. C. Presilla, F. Marchesoni, and L. Gammaitoni, Phys. Rev. A 40, 2105 (1989); L. Gammaitoni et al., ibid. 40, 2114 (1989).
  13. F. Marchesoni, F. Apostolico, and S. Santucci, Phys. Rev. E 59, 3958 (1999).
  14. A. V. Granato and K. Lücke, in Physical Acoustics, edited by W. P. Mason (Academic, New York, 1966), Vol. IVA, p. 225; J. P. Hirth and J. Lothe, Theory of Dislocations (Wiley, New York, 1982).
  15. M. Löcher et al., Phys. Rev. E 62, 317 (2000); L. Gammaitoni et al., Phys. Rev. Lett. 82, 4574 (1999).
  16. M. Marchi et al., Phys. Rev. E 54, 3479 (1996).
  17. F. Marchesoni, Phys. Lett. A 119, 221 (1986), and references therein.
  18. A. Mielke, Phys. Rev. Lett. 84, 818 (2000).
  19. P. Hänggi, P. Jung, and F. Marchesoni, J. Stat. Phys. 54, 1367 (1989).
  20. C. Masoller, Phys. Rev. Lett. 88, 034102 (2002); L. S. Tsimring and A. Pikovsky, ibid. 87, 250602 (2001).
  21. S. Savelev, F. Marchesoni, P. Hänggi, and F. Nori, Phys. Rev. E 70, 066109 (2004).
  22. G. Giacomelli, et al., Opt. Commun. 146, 136 (1998); M. B. Willemsen et al., Phys. Rev. Lett. 82, 4815 (1999).

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