Stochastic resonance, Brownian ratchets and the Fokker-Planck Equation
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(Published version)
Date
2003
Authors
Allison, A.
Abbott, D.
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Bezrukov, S.M.
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Conference paper
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Unsolved problems of noise and fluctuations : UPoN 2002 : third International Conference of Unsolved Problems of Noise and Fluctuations in Physics, Biology, and High Technology, Washington, DC, 3-6 September 2002 / Sergey M. Bezrukov (ed.), pp. 73-84
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International Conference on Unsolved Problems of Noise and Fluctuations in Physics, Biology, and High Technology (3rd : 2003 : Washington, DC, USA)
Abstract
Our immediate aim is to arrive at quantitative realistic estimates of the optimum noise levels for a complete and feasible Brownian ratchet device. A number of difficult "Unsolved Problems of Noise"naturally arise in the course of this work. We pose a general philosophical question: "Is it is possible to relate stochastic resonance and Brownian ratchets in a formal way, through a consideration of the Fokker-Planck equation?"The evidence suggests that some forms of stochastic resonance can be formulated in terms of a Fokker-Planck equation and some cannot. Stochastic resonance may actually be a collection of similar but distinct phenomena. We present a number of simulations which demonstrate stochastic resonance in a Brownian ratchet. We also show how current is dependent on a number of other parameters.
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© 2003 American Institute of Physics