dc.contributor.author | COFFEY, WILLIAM THOMAS | |
dc.contributor.author | KALYMYKOV, YURI PETROVICH | |
dc.date.accessioned | 2009-06-17T15:41:54Z | |
dc.date.available | 2009-06-17T15:41:54Z | |
dc.date.issued | 2003 | |
dc.date.submitted | 2003 | en |
dc.identifier.citation | W. T. Coffey, Yu.P.Kalmykov and S.V.Titov, 'Anomalous dielectric relaxation in an N-fold cosine potential' in Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 67, 6, (2003), pp 061115 - 1 - 061115 -11 | en |
dc.identifier.other | Y | |
dc.identifier.other | Y | en |
dc.description | PUBLISHED | en |
dc.description.abstract | The fractional Klein-Kramers (Fokker-Planck) equation describing the fractal time dynamics of an assembly of fixed axis dipoles rotating in an N-fold cosine potential representing the internal field due to neighboring molecules is solved using matrix continued fractions. The result can be considered as a generalization of the solution for the normal Brownian motion in a cosine periodic potential to fractional dynamics (giving rise to anomalous diffusion) and also represents a generalization of Frohlich?s model of relaxation over a potential barrier. The solution includes both inertial and strong internal field effects, which in combination produce a strong resonance peak (Poley absorption) at high frequencies due to librations of the dipoles in the potential, an anomalous relaxation band at low frequencies mainly arising from overbarrier relaxation, and a weaker relaxation band at midfrequencies due to the fast intrawell modes. The high-frequency behavior is controlled by the inertia of the dipole, so that the Gordon sum rule for dipolar absorption is satisfied, ensuring a return to optical transparency at very high frequencies. Application of the model to the broadband (0?THz) dielectric loss spectrum of a dilute solution of the probe dipolar molecule CH2Cl2 in glassy decalin is demonstrated. | en |
dc.description.sponsorship | The support of this work by the Enterprise Ireland Research
Collaboration Fund, CNRS-Enterprise Ireland-France
award scheme program Ulysses, USAF, EOARD, ~Contract
No. FA8655-03-01-3027!, and the Russian Foundation for
Basic Research ~Project No. 01-02-16050! is gratefully acknowledged.
S.V.T. thanks the University of Perpignan and
W.T.C. thanks Trinity College Dublin for financial support. | en |
dc.format.extent | 061115 - 1 | en |
dc.format.extent | 061115 -11 | en |
dc.format.extent | 161204 bytes | |
dc.format.mimetype | application/pdf | |
dc.language.iso | en | en |
dc.publisher | American Physical Society | en |
dc.relation.ispartofseries | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | en |
dc.relation.ispartofseries | 67 | en |
dc.relation.ispartofseries | 6 | en |
dc.rights | Y | en |
dc.subject | Electronic & Electrical Engineering | en |
dc.title | Anomalous dielectric relaxation in an N-fold cosine potential | en |
dc.type | Journal Article | en |
dc.type.supercollection | scholarly_publications | en |
dc.type.supercollection | refereed_publications | en |
dc.identifier.peoplefinderurl | http://people.tcd.ie/wcoffey | |
dc.identifier.rssinternalid | 32492 | |
dc.contributor.sponsor | Enterprise Ireland | |
dc.contributor.sponsor | CNRS | |
dc.identifier.uri | http://hdl.handle.net/2262/30592 | |