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Stochastic resonance, Brownian ratchets and the Fokker-Planck Equation

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dc.contributor.authorAllison, A.
dc.contributor.authorAbbott, D.
dc.contributor.conferenceInternational Conference on Unsolved Problems of Noise and Fluctuations in Physics, Biology, and High Technology (3rd : 2003 : Washington, DC, USA)
dc.contributor.editorBezrukov, S.M.
dc.date.issued2003
dc.description.abstractOur 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.
dc.identifier.citationUnsolved 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
dc.identifier.doi10.1063/1.1584877
dc.identifier.isbn0735401276
dc.identifier.issn0094-243X
dc.identifier.issn1551-7616
dc.identifier.orcidAllison, A. [0000-0003-3865-511X]
dc.identifier.orcidAbbott, D. [0000-0002-0945-2674]
dc.identifier.urihttp://hdl.handle.net/2440/28429
dc.language.isoen
dc.publisherAmerican Institute of Physics
dc.publisher.placeMelville, New York, USA
dc.relation.ispartofseriesAIP Conference Proceedings ; 665
dc.rights© 2003 American Institute of Physics
dc.source.urihttp://link.aip.org/link/?APCPCS/665/74/1
dc.subjectresonance, stochastic processes, stochastic systems, Brownian motion, Fokker-Planck equation, random noise, finite difference methods, diffusion
dc.titleStochastic resonance, Brownian ratchets and the Fokker-Planck Equation
dc.typeConference paper
pubs.publication-statusPublished

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