Publication:
Fractional generalization of Fick's law: a microscopic approach

Simple item page
dc.affiliation.dptoUC3M. Departamento de Físicaes
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Física de Plasmases
dc.contributor.authorCalvo, Iván
dc.contributor.authorSánchez, Raúl
dc.contributor.authorCarreras, Benjamín A.
dc.contributor.authorVan Milligen, Boudewijn Ph.
dc.date.accessioned2010-06-16T10:07:42Z
dc.date.available2010-06-16T10:07:42Z
dc.date.issued2007-12-07
dc.description4 pages, no figures.-- PACS nrs.: 05.60.-k, 05.10.Gg, 05.40.Fb.-- ArXiv preprint available at: http://arxiv.org/abs/0712.1798
dc.description.abstractIn the study of transport in inhomogeneous systems it is common to construct transport equations invoking the inhomogeneous Fick law. The validity of this approach requires that at least two ingredients be present in the system. First, finite characteristic length and time scales associated with the dominant transport process must exist. Second, the transport mechanism must satisfy a microscopic symmetry: global reversibility. Global reversibility is often satisfied in nature. However, many complex systems exhibit a lack of finite characteristic scales. In this Letter we show how to construct a generalization of the inhomogeneous Fick law that does not require the existence of characteristic scales while still satisfying global reversibility.
dc.description.sponsorshipPart of this research was sponsored by the Laboratory Research and Development Program of the Oak Ridge National Laboratory, managed by UT-Battelle, LLC, for the US-DOE under Contract No. DE-AC05-00OR22725.
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationPhys. Rev. Lett. 99, 230603 (2007)
dc.identifier.doi10.1103/PhysRevLett.99.230603
dc.identifier.issn0031-9007
dc.identifier.urihttp://hdl.handle.net/10016/8903
dc.language.isoeng
dc.publisherThe American Physical Society
dc.relation.publisherversionhttp://dx.doi.org/10.1103/PhysRevLett.99.230603
dc.rights© The American Physical Society
dc.rights.accessRightsopen access
dc.subject.ecienciaFísica
dc.subject.ecienciaFusión
dc.subject.other[PACS] Transport processes
dc.subject.other[PACS] Stochastic analysis methods (Fokker-Planck, Langevin, etc.)
dc.subject.other[PACS] Random walks and Levy flights
dc.titleFractional generalization of Fick's law: a microscopic approach
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
fractional_sanchez_prl_2007.pdf
Size:
106.61 KB
Format:
Adobe Portable Document Format
Description:
publisher version
Download
Collections
DF - GFP - Artículos de revistas