Perspectives on 1/ƒ noise in quantum chaos

Simple item page
dc.contributor.authorRelaño Pérez, Armando
dc.contributor.authorMolina, R. A.
dc.contributor.authorRetamosa Granado, Joaquín
dc.contributor.authorMuñoz, L.
dc.contributor.authorFaleiro, E.
dc.contributor.authorGómez Gómez, José María
dc.date.accessioned2023-06-20T03:46:29Z
dc.date.available2023-06-20T03:46:29Z
dc.date.issued2010
dc.description© 2010 IOP Publishing Ltd. Symposium on Nuclear Physics (33rd. 2010. Morelos, México). This research has been supported in part by Spanish Government grant No. FIS2009-07277 and No. FIS2006-12783-C03-02, CSPD-2007 00042-Ingenio2010, and by the Universidad Complutense de Madrid grant UCM-910059. A.R. is supported by the CPAN Consolider program.
dc.description.abstractThe power spectrum of the δ_(n) statistic of quantum spectra presents 1/ƒ^(α) noise. For chaotic systems α = 1 while for regular systems α = 2. Although the transition from regularity to chaos is non universal, for a wide variety of systems with a mixed phase space the value of α is intermediate between 1 and 2 and can be related to the fraction of regular or chaotic orbits in the total phase space. This statistic can be a very useful tool for the analysis of experimental spectra, specially in the case of missing levels or spectral sequences with mixed symmetries.
dc.description.departmentDepto. de Estructura de la Materia, Física Térmica y Electrónica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipSpanish Government
dc.description.sponsorshipUniversidad Complutense de Madrid
dc.description.sponsorshipCPAN-Consolider program
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/27509
dc.identifier.citation[1] Berry M V and Tabor M 1977 Proc. R. Soc. London A 356 375 [2] Bohigas O, Giannoni M J and Schmidt C 1984 Phys. Rev. Lett. 52 1 [3] Heusler S, Müller S, Altland A, Braun P and Haake F 2007 Phys. Rev. Lett. 98 044103 [4] Relaño A, Gómez J M G, Molina R A, Retamosa J and Faleiro E 2002 Phys. Rev. Lett. 89 244102 [5] Mandelbrot B B 1999 Multifractals and 1/f noise Springer New York [6] Greis N P and Greenside H S 1991 Phys. Rev. A 44 2730 [7] Relaño A, Molina R A and Retamosa J 2004 Phys. Rev. E 70 017201 [8] Faleiro E, Gómez J M G, Muñoz L, Molina R A, Relaño A and Retamosa J 2004 Phys. Rev. Lett. 93 244101 [9] French J B, Kota V K B, Pandey A and Tomsovic S 1988 Ann. Phys. (N.Y.) 181 198 [10] Smith J O 2003 Mathematics of the Discrete Fourier Transform (DFT) ISBN 0 9745607-0-7 [http://ccrmawww. standford.edu/jos/mdft/] [11] Faleiro E, Kuhl U, Molina R A, Muñoz L, Relaño A and Retamosa J 2006 Phys. Lett. A 358 251 [12] Molina R A and Muñoz L et al 2007 Phys. Lett. B 644 25 [13] Agvaanluvsan U, Mitchell G E, Shriner Jr. J F and Pato M P 2003 Nucl. Instr. Meth. A 498 459 [14] Bohigas O and Pato M P 2006 Phys. Rev. E 74 036212 [15] García García A M 2006 Phys. Rev. E 73, 026213 [16] Gómez J M G, Relaño A, Retamosa J, Faleiro E, Salasnich L, Vranicar M and Robnik M 2005 Phys. Rev. Lett. 94 114101 [17] Santhanam M S and Bandyopadhayay J N 2005 Phys. Rev. Lett. 95 114101 [18] Robnik M 2006 Int. J. Bifurcation Chaos Appl. Sci. Eng. 16 1849 [19] Male C, Le Caër G and Delannay D 2007 Phys. Rev. E 76 042101 [20] Tomsovic S, Ullmo D 1994 Phys. Rev. E 50 145 [21] Relaño A 2008 Phys. Rev. Lett. 100 224101
dc.identifier.doi10.1103/physreva.80.032111
dc.identifier.issn1742-6588
dc.identifier.officialurlhttp://dx.doi.org/10.1103/physreva.80.032111
dc.identifier.relatedurlhttp://iopscience.iop.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/44419
dc.journal.titleJournal of physics: Conference series
dc.language.isoeng
dc.publisherIOP Publishing Ltd
dc.relation.projectIDFIS2009-07277
dc.relation.projectIDFIS2006-12783-C03-02
dc.relation.projectIDCSPD-2007-00042-Ingenio2010
dc.relation.projectIDUCM-910059
dc.rightsAtribución 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/es/
dc.subject.cdu536
dc.subject.keywordPower Spectrum
dc.subject.keywordSymmetries
dc.subject.ucmTermodinámica
dc.subject.unesco2213 Termodinámica
dc.titlePerspectives on 1/ƒ noise in quantum chaos
dc.typejournal article
dc.volume.number239
dspace.entity.typePublication
relation.isAuthorOfPublication53fed635-944b-485a-b13a-ea8f9355b7aa
relation.isAuthorOfPublication1d1118d9-569f-4139-988b-921ac5a8407c
relation.isAuthorOfPublication41cdbde8-9afc-4edf-aa3c-1430d8ad268e
relation.isAuthorOfPublication.latestForDiscovery53fed635-944b-485a-b13a-ea8f9355b7aa
Download
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Relano21libre.pdf
Size:
667.7 KB
Format:
Adobe Portable Document Format
downoload Download
Collections
Artículos