Stochastic resonance and Brownian ratchets

A.J. Fendrik, L. Romanelli and R.P.J. Perazzo

Physica A: Statistical Mechanics and its Applications, 2006, vol. 359, issue C, 75-84

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.

Keywords: Transport phenomena; Diffusion; Brownian motors; Coherent transport; Thermal enhancement (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:359:y:2006:i:c:p:75-84

DOI: 10.1016/j.physa.2005.04.035

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