Return distributions in dog-flea model revisited

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dc.contributor.authorBakar, Burhan
dc.contributor.authorTirnakli, Ugur
dc.date.accessioned2019-10-27T21:15:27Z
dc.date.available2019-10-27T21:15:27Z
dc.date.issued2010
dc.departmentEge Üniversitesien_US
dc.description.abstractA recent study of coherent noise model for the system size independent case provides an exact relation between the exponent tau of avalanche size distribution and the q value of the appropriate q-Gaussian that fits the return distribution of the model. This relation is applied to Ehrenfest's historical dog-flea model by treating the fluctuations around the thermal equilibrium as avalanches. We provide a clear numerical evidence that the relation between the exponent tau of fluctuation length distribution and the q value of the appropriate q-Gaussian obeys this exact relation when the system size is large enough. This allows us to determine the value of the q-parameter a priori from one of the well known exponents of such dynamical systems. Furthermore, it is shown that the return distribution in dog-flea model gradually approaches q-Gaussian as the system size increases and this tendency can be analyzed by a well defined analytical expression. (C) 2010 Elsevier B.V. All rights reserved.en_US
dc.description.sponsorshipTUBITAK (Turkish Agency)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) [104T148]; Ege UniversityEge University [2009FEN027]en_US
dc.description.sponsorshipThis work has been supported by TUBITAK (Turkish Agency) under the Research Project number 104T148 and by Ege University under the Research Project number 2009FEN027.en_US
dc.identifier.doi10.1016/j.physa.2010.04.037
dc.identifier.endpage3386en_US
dc.identifier.issn0378-4371
dc.identifier.issn1873-2119
dc.identifier.issn0378-4371en_US
dc.identifier.issn1873-2119en_US
dc.identifier.issue17en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage3382en_US
dc.identifier.urihttps://doi.org/10.1016/j.physa.2010.04.037
dc.identifier.urihttps://hdl.handle.net/11454/43537
dc.identifier.volume389en_US
dc.identifier.wosWOS:000280118100005en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Bven_US
dc.relation.ispartofPhysica A-Statistical Mechanics and Its Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFluctuation phenomenaen_US
dc.subjectTime series analysisen_US
dc.subjectSelf-organized criticalityen_US
dc.titleReturn distributions in dog-flea model revisiteden_US
dc.typeArticleen_US

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