dc.contributor.author | COFFEY, WILLIAM THOMAS | |
dc.contributor.author | KALYMYKOV, YURI PETROVICH | |
dc.date.accessioned | 2009-06-18T09:59:32Z | |
dc.date.available | 2009-06-18T09:59:32Z | |
dc.date.issued | 1994 | |
dc.date.submitted | 1994 | en |
dc.identifier.citation | Coffey, W.T., Crothers, D.S.F., Kalmykov, Yu.P., Massawe, E.S., Waldron, J.T., 'Exact analytic formula for the correlation time of a single-domain ferromagnetic particle' in Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 49, 3, (1994), pp 1869-1882 | en |
dc.identifier.other | Y | |
dc.identifier.other | Y | en |
dc.description | PUBLISHED | en |
dc.description.abstract | Exact solutions for the longitudinal relaxation time T and the complex susceptibility ?(?) of a thermally agitated single-domain ferromagnetic particle are presented for the simple uniaxial potential of the crystalline anisotropy considered by Brown [Phys. Rev. 130, 1677 (1963)]. This is accomplished by expanding the spatial part of the distribution function of magnetic-moment orientations on the unit sphere in the Fokker-Planck equation in Legendre polynomials. This leads to the three-term recurrence relation for the Laplace transform of the decay functions. The recurrence relation may be solved exactly in terms of continued fractions. The zero-frequency limit of the solution yields an analytic formula for T as a series of confluent hypergeometric (Kummer) functions which is easily tabulated for all potential-barrier heights. The asymptotic formula for T of Brown is recovered in the limit of high barriers. On conversion of the exact solution for T to integral form, it is shown using the method of steepest descents that an asymptotic correction to Brown's high-barrier result is necessary. The inadequacy of the effective-eigenvalue method as applied to the calculation of T is discussed. | en |
dc.format.extent | 1869-1882 | en |
dc.format.extent | 1903290 bytes | |
dc.format.mimetype | application/pdf | |
dc.language.iso | en | en |
dc.publisher | American Physical Society | en |
dc.relation.ispartofseries | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics | en |
dc.relation.ispartofseries | 49 | en |
dc.relation.ispartofseries | 3 | en |
dc.rights | Y | en |
dc.subject | Fluids and plasma physics | |
dc.title | Exact analytic formula for the correlation time of a single-domain ferromagnetic particle | 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.uri | http://hdl.handle.net/2262/30629 | |