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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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http://hal.in2p3.fr/in2p3-01163795
Contributor : Michel Lion <>
Submitted on : Monday, June 15, 2015 - 3:14:48 PM
Last modification on : Tuesday, April 21, 2020 - 10:29:59 AM

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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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