dc.contributor.author | COFFEY, WILLIAM THOMAS | en |
dc.contributor.author | KALYMYKOV, YURI PETROVICH | en |
dc.date.accessioned | 2010-07-13T15:14:45Z | |
dc.date.available | 2010-07-13T15:14:45Z | |
dc.date.issued | 2007 | en |
dc.date.submitted | 2007 | en |
dc.identifier.citation | W.T. Coffey, Yu.P. Kalmykov and S.V. Titov, Inertial Effects in the Fractional Translational Brownian Motion in a Double-Well Potential, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 75, 3, 2007, 031101-1 - 031101-8 | en |
dc.identifier.other | Y | en |
dc.description | PUBLISHED | en |
dc.description.abstract | The anomalous translational diffusion including inertial effects of nonlinear Brownian oscillators in a double well potential V(x)=ax2?2+bx4?4 is considered. An exact solution of the fractional Klein-Kramers (Fokker-Planck) equation is obtained allowing one to calculate via matrix continued fractions the positional autocorrelation function and dynamic susceptibility describing the position response to a small external field. The result is a generalization of the solution for the normal Brownian motion in a double well potential to fractional dynamics (giving rise to anomalous diffusion). | en |
dc.format.extent | 031101-1 | en |
dc.format.extent | 031101-8 | en |
dc.language.iso | en | en |
dc.relation.ispartofseries | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | en |
dc.relation.ispartofseries | 75 | en |
dc.relation.ispartofseries | 3 | en |
dc.rights | Y | en |
dc.subject | Brownian oscillators | en |
dc.subject | Physics | |
dc.title | Inertial Effects in the Fractional Translational Brownian Motion in a Double-Well 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 | en |
dc.identifier.peoplefinderurl | http://people.tcd.ie/kalymyky | en |
dc.identifier.rssinternalid | 45206 | en |
dc.identifier.rssuri | http://link.aps.org/doi/10.1103/PhysRevE.75.031101 | en |
dc.identifier.uri | http://hdl.handle.net/2262/40299 | |