Criticality and long-range correlations in time series in classical and quantum systems

Abstract : We present arguments which indicate that a transitional state in between two different regimes implies the occurrence of 1/f time series and that this property is generic in both classical and quantum systems. Our study focuses on two particular examples: the one-dimensional module-1 logistic map and nuclear excitation spectra obtained with a schematic shell-model Hamiltonian. We suggest that a transitional point is characterized by the long-range correlations implied by 1/f time series. We apply a Fourier spectral analysis and the detrended fluctuation analysis method to study the fluctuations to each system.
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Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2011, 84 (1), pp.016224. 〈10.1103/PhysRevE.84.016224〉
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http://hal.in2p3.fr/in2p3-01163795
Contributeur : Michel Lion <>
Soumis le : lundi 15 juin 2015 - 15:14:48
Dernière modification le : jeudi 1 février 2018 - 01:34:47

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E. Landa, I.O. Morales, R. Fossion, P. Stránský, V. Velázquez, et al.. Criticality and long-range correlations in time series in classical and quantum systems. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2011, 84 (1), pp.016224. 〈10.1103/PhysRevE.84.016224〉. 〈in2p3-01163795〉

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