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dc.contributor.authorKorzeniowska, Magdalena A.
dc.contributor.authorTheodorsen, Audun
dc.contributor.authorRypdal, Martin Wibe
dc.contributor.authorGarcia, Odd Erik
dc.date.accessioned2023-08-08T10:48:49Z
dc.date.available2023-08-08T10:48:49Z
dc.date.issued2023-06-29
dc.description.abstractPower spectral density scaling with frequency f as 1/ f <sup>β</sup> and β ≈ 1 is widely found in natural and socioeconomic systems. Consequently, it has been suggested that such self-similar spectra reflect the universal dynamics of complex phenomena. Here, we show that for a superposition of uncorrelated pulses with a power-law distribution of duration times the estimated scaling exponents β¯ depend on the system size. We derive a parametrized, closed-form expression for the power spectral density, and demonstrate that for β ∈ [0, 2] the estimated scaling exponents have a bias towards β¯ = 1. For β = 0 and β = 2 the explicit logarithmic corrections to frequency scaling are derived. The bias is particularly strong when the scale invariance spans less than four decades in frequency. Since this is the case for the majority of empirical data, the boundedness of systems well described by the superposition of uncorrelated pulses may contribute to overemphasizing the universality of 1/ f .en_US
dc.identifier.citationKorzeniowska M. A., Theodorsen A, Rypdal MW, Garcia OE. Apparent universality of 1/f spectra as an artifact of finite-size effects. Physical Review Research (PRResearch). 2023;5(2)en_US
dc.identifier.cristinIDFRIDAID 2159650
dc.identifier.doi10.1103/PhysRevResearch.5.L022066
dc.identifier.issn2643-1564
dc.identifier.urihttps://hdl.handle.net/10037/29775
dc.language.isoengen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.journalPhysical Review Research (PRResearch)
dc.relation.projectIDUiT Norges arktiske universitet: 2062166en_US
dc.rights.accessRightsopenAccessen_US
dc.rights.holderCopyright 2023 The Author(s)en_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0en_US
dc.rightsAttribution 4.0 International (CC BY 4.0)en_US
dc.titleApparent universality of 1/f spectra as an artifact of finite-size effectsen_US
dc.type.versionpublishedVersionen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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Attribution 4.0 International (CC BY 4.0)
Except where otherwise noted, this item's license is described as Attribution 4.0 International (CC BY 4.0)