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dc.contributor.authorCOFFEY, WILLIAM THOMAS
dc.contributor.authorKALYMYKOV, YURI PETROVICH
dc.contributor.authorVIJ, JAGDISH KUMAR
dc.date.accessioned2009-06-17T14:51:04Z
dc.date.available2009-06-17T14:51:04Z
dc.date.issued2005
dc.date.submitted2005en
dc.identifier.citationCoffey, W.T., Kalmykov, Y.P., Titov, S.V., Vij, J.K., 'Fractional rotational diffusion of rigid dipoles in an asymmetrical double-well potential' in Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 72, 1, (2005), art. no. 011103en
dc.identifier.otherY
dc.identifier.otherYen
dc.identifier.urihttp://hdl.handle.net/2262/30567
dc.descriptionPUBLISHEDen
dc.description.abstractThe longitudinal and transverse components of the complex dielectric susceptibility tensor of an assembly of dipolar molecules rotating in an asymmetric double-well potential are evaluated using a fractional rotational diffusion equation (based on the diffusion limit of a fractal time random walk) for the distribution function of orientations of the molecules on the surface of the unit sphere. The calculation is the fractional analog of the Debye theory of orientational relaxation in the presence of external and mean field potentials (excluding inertial effects). Exact and approximate (based on the exponential separation for normal diffusion of the time scales of the intrawell and overbarrier relaxation processes associated with the bistable potential) solutions for the dielectric dispersion and absorption spectra are obtained. It is shown that a knowledge of the characteristic relaxation times for normal rotational diffusion is sufficient to predict accurately the anomalous dielectric relaxation behavior of the system for all time scales of interest. The model explains the anomalous (Cole-Cole-like) relaxation of complex dipolar systems, where the anomalous exponent differs from unity (corresponding to the normal dielectric relaxation), i.e., the relaxation process is characterized by a broad distribution of relaxation times (e.g., in glass-forming liquids).en
dc.description.sponsorshipThe support of this work by INTAS Project No. 01-2341 and the TCD Trust is gratefully acknowledged.en
dc.format.extentart. no. 011103en
dc.format.extent501251 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.ispartofseriesPhysical Review E - Statistical, Nonlinear, and Soft Matter Physicsen
dc.relation.ispartofseries72en
dc.relation.ispartofseries1en
dc.rightsYen
dc.subjectElectronic & Electrical Engineeringen
dc.titleFractional rotational diffusion of rigid dipoles in an asymmetrical 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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