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Energy spectra of quasi periodic systems via information entropy

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Interdisciplinar de Sistemas Complejos (GISC)es
dc.contributor.authorMaciá, Enrique
dc.contributor.authorDomínguez-Adame, Francisco
dc.contributor.authorSánchez, Angel
dc.date.accessioned2012-07-17T08:51:04Z
dc.date.available2012-07-17T08:51:04Z
dc.date.issued1994-08
dc.description.abstractWe study the relationship between the electronic spectrum structure and the configurational order of onedimensional quasiperiodic systems. We take the Fibonacci case as a specific example, but the ideas outlined here may be useful to accurately describe the energy spectra of general quasiperiodic systems of technological interest. Our main result concerns the minimization of the information entropy as a characteristic feature associated with quasiperiodic arrangements. This feature is shown to be related to the ability of quasiperiodic systems to encode more information, in the Shannon sense, than periodic ones. In the conclusion we comment on interesting implications of these results on further developments on the issue of quasiperiodic order.
dc.description.sponsorshipThis work is partially supported by UCM under Project No. PR161/93-481l. A.S. is partially supported by DGICyT (Spain) through Project No. PB92-0248, and by the European Union Human Capital and Mobility Programme through Contract No. ERBCHRXCT930413
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationPhysical Review E, vol. 50, n. 2, august 1994. Pp. R679–R682
dc.identifier.doi10.1103/PhysRevE.50.R679
dc.identifier.issn1539-3755 (print version)
dc.identifier.issn1550-2376 (online version)
dc.identifier.publicationfirstpageR679
dc.identifier.publicationissuen. 2
dc.identifier.publicationlastpageR682
dc.identifier.publicationtitlePhysical Review E
dc.identifier.publicationvolumevol. 50
dc.identifier.urihttps://hdl.handle.net/10016/14924
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.publisherversionhttp://dx.doi.org/10.1103/PhysRevE.50.R679
dc.rights© American Physical Society
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.titleEnergy spectra of quasi periodic systems via information entropy
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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