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dc.contributor.authorCOFFEY, WILLIAM THOMAS
dc.contributor.authorKALYMYKOV, YURI PETROVICH
dc.date.accessioned2009-06-17T16:39:48Z
dc.date.available2009-06-17T16:39:48Z
dc.date.issued1996
dc.date.submitted1996en
dc.identifier.citationCoffey, W.T., De?jardin, J.L., Kalmykov, Yu.P., Titov, S.V., 'Nonlinear dielectric relaxation and dynamic Kerr effect in a strong dc electric field suddenly switched on: Exact solutions for the three-dimensional rotational diffusion model' in Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 54, 6, (1996), pp 6462 - 6475en
dc.identifier.otherY
dc.identifier.otherYen
dc.identifier.urihttp://hdl.handle.net/2262/30607
dc.descriptionPUBLISHEDen
dc.description.abstractThe infinite hierarchy of differential-recurrence relations for ensemble averages of the spherical harmonics pertaining to the noninertial rotational Brownian motion of an ensemble of polar and anisotropically polarizable molecules in a strong external dc electric field is derived by averaging the underlying Langevin equation. This procedure avoids recourse to the Fokker-Planck equation, the solution of which involves complicated mathematical manipulations. Exact analytic solutions for the spectra of the relaxation functions and relaxation times for nonlinear dielectric relaxation and dynamic Kerr effect of symmetric top molecules are calculated for two limiting cases, namely, pure induced dipole moments and pure permanent moments, using the continued fraction method. The general case where both types of moment are taken into account is then considered by using matrix continued fractions. Exact expressions for the dielectric and Kerr effect relaxation times are also derived as functions of the parameters j and s characterizing the field-off and the induced dipole moments. Plots of these relaxation times are presented for various values of j and s. The nonlinear relaxation behavior is emphasized in figures showing how the real and imaginary parts of the spectra of the relaxation functions deviate from the Lorentzian profiles.en
dc.description.sponsorshipOne of us Y.P.K. thanks the French Ministry of High Education and Research for financial support ~high level grant, PECO-CEI. W.T.C. acknowledges the financial support of the Forbairt Research Collaboration Fund and the French Foreign Office. The partial support of this work by the Russian Foundation for Basic Research ~Grant No. 96- 02-16762-a is also gratefully acknowledged.en
dc.format.extent6462en
dc.format.extent6475en
dc.format.extent423820 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.ispartofseries54en
dc.relation.ispartofseries6en
dc.rightsYen
dc.subjectElectronic & Electrical Engineeringen
dc.titleNonlinear dielectric relaxation and dynamic Kerr effect in a strong dc electric field suddenly switched on: Exact solutions for the three-dimensional rotational diffusion modelen
dc.typeJournal Articleen
dc.type.supercollectionscholarly_publicationsen
dc.type.supercollectionrefereed_publicationsen
dc.identifier.peoplefinderurlhttp://people.tcd.ie/wcoffey
dc.identifier.rssinternalid32162


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