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dc.contributor.authorCOFFEY, WILLIAM THOMAS
dc.contributor.authorKALYMYKOV, YURI PETROVICH
dc.date.accessioned2009-06-17T11:59:44Z
dc.date.available2009-06-17T11:59:44Z
dc.date.issued2006
dc.date.submitted2006en
dc.identifier.citationKalmykov, Y.P., Coffey, W.T., Titov, S.V. 'Fractional translational diffusion of a Brownian particle in a double well potential' in Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 74, 1, (2006), art. no. 011105en
dc.identifier.otherY
dc.identifier.otherYen
dc.identifier.urihttp://hdl.handle.net/2262/30551
dc.descriptionPUBLISHEDen
dc.description.abstractThe fractional translational diffusion of a particle in a double-well potential (excluding inertial effects) is considered. The position correlation function and its spectrum are evaluated using a fractional probability density diffusion equation (based on the diffusion limit of a fractal time random walk). Exact and approximate solutions for the dynamic susceptibility describing the position response to a small external field are obtained. The exact solution is given by matrix continued fractions while the approximate solution relies on the exponential separation of the time scales of the fast "intrawell" and low overbarrier relaxation processes associated with the bistable potential. It is shown that knowledge of the characteristic relaxation times for normal diffusion allows one to predict accurately the anomalous relaxation behavior of the system for all relevant time scales.en
dc.description.sponsorshipThe TCD Trust is gratefully acknowledged for financial support for S.V.T.en
dc.format.extentart. no. 011105en
dc.format.extent152095 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherAmerican Institute of Physicsen
dc.relation.ispartofseriesPhysical Review E - Statistical, Nonlinear, and Soft Matter Physicsen
dc.relation.ispartofseries74en
dc.relation.ispartofseries1en
dc.rightsYen
dc.subjectElectronic & Electrical Engineeringen
dc.titleFractional translational diffusion of a Brownian particle in a double well potentialen
dc.typeJournal Articleen
dc.type.supercollectionscholarly_publicationsen
dc.type.supercollectionrefereed_publicationsen
dc.identifier.peoplefinderurlhttp://people.tcd.ie/wcoffey


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