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Stochastic resonance and Brownian ratchets

Author

Listed:
  • Fendrik, A.J.
  • Romanelli, L.
  • Perazzo, R.P.J.

Abstract

We discuss the connections between Brownian ratchets (BR) and stochastic resonance (SR). We consider a periodic potential energy landscape with no left–right symmetry that is driven by an external force which can be derived from a potential that is periodic both in time and space. We show that this system presents two thermal enhancements within two different windows of the temperature. One is associated with a “coherent diffusion” by which particles jump back and forth between the minima of the periodic potential in synchrony with the external driving. The other is instead associated with a “coherent directional transport” by which particles hop synchronically from one minimum of the ratchet to the next. We calculate the current and the diffusion coefficients and show how transport undergoes a resonant enhancement. While the former is always present, the second only appears when left–right symmetry is broken.

Suggested Citation

  • Fendrik, A.J. & Romanelli, L. & Perazzo, R.P.J., 2006. "Stochastic resonance and Brownian ratchets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 359(C), pages 75-84.
    • Handle: RePEc:eee:phsmap:v:359:y:2006:i:c:p:75-84
    DOI: 10.1016/j.physa.2005.04.035
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