title: 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.
authors.affiliation: Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, México, DF, Mexico.
authors.forename: E
authors.initials: E
authors.lastname: Landa
authors.forename: Irving O
authors.initials: IO
authors.lastname: Morales
authors.forename: R
authors.initials: R
authors.lastname: Fossion
authors.forename: P
authors.initials: P
authors.lastname: Stránský
authors.forename: V
authors.initials: V
authors.lastname: Velázquez
authors.forename: J C López
authors.initials: JC
authors.lastname: Vieyra
authors.forename: A
authors.initials: A
authors.lastname: Frank