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dc.contributor.authorCOFFEY, WILLIAM THOMAS
dc.contributor.authorKALYMYKOV, YURI PETROVICH
dc.date.accessioned2009-06-17T15:32:55Z
dc.date.available2009-06-17T15:32:55Z
dc.date.issued2004
dc.date.submitted2004en
dc.identifier.citationTitov, S.V., Kalmykov, Y.P., Coffey, W.T., 'Inertial effects in anomalous dielectric relaxation of symmetrical top molecules' in Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 69, 3, (2004), pp 031114 -1 - 031114-11en
dc.identifier.otherY
dc.identifier.otherYen
dc.identifier.urihttp://hdl.handle.net/2262/30590
dc.descriptionPUBLISHEDen
dc.description.abstractThe linear dielectric response of an assembly of noninteracting symmetrical top molecules (each of which is free to rotate in space) is evaluated in the context of fractional dynamics. The infinite hierarchy of differential-recurrence relations for the relaxation functions appropriate to the dielectric response is derived by using the underlying inertial fractional Klein-Kramers equation. On solving this hierarchy in terms of matrix continued fractions (as in the normal rotational diffusion), the complex dynamic susceptibility is obtained and is calculated for typical values of the model parameters. For the limiting case of spherical top molecules, the solution is obtained in terms of an ordinary continued fraction. It is shown that the model can reproduce nonexponential anomalous dielectric relaxation behavior at low frequencies (??<~1, where ? is the Debye relaxation time) and the inclusion of inertial effects ensures that optical transparency is regained at very high frequencies (in the far infrared region) so that Gordon?s sum rule for integral dipolar absorption is satisfied.en
dc.description.sponsorshipThe support of this work by USAF, EOARD ~Contract No. FA8655-03-01-3027!, the Enterprise Ireland-CNRS France scheme 2003, and the Russian Foundation for Basic Research ~Project No. 01-02-16050! is gratefully acknowledged.en
dc.format.extent031114 -1en
dc.format.extent031114-11en
dc.format.extent133773 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.ispartofseries69en
dc.relation.ispartofseries3en
dc.rightsYen
dc.subjectElectronic & Electrical Engineeringen
dc.titleInertial effects in anomalous dielectric relaxation of symmetrical top moleculesen
dc.typeJournal Articleen
dc.contributor.sponsorEnterprise Ireland
dc.contributor.sponsorCNRS
dc.type.supercollectionscholarly_publicationsen
dc.type.supercollectionrefereed_publicationsen
dc.identifier.peoplefinderurlhttp://people.tcd.ie/wcoffey


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