Superstatistics and renewal critical events

• Authors: Paolo Paradisi , Rita Cesari , Paolo Grigolini
• Languages of publication: EN

Abstracts

EN

An approach to intermittent systems based on renewal processes is reviewed. The Waiting Times (WTs) between events are the main variables of interest in intermittent systems. A crucial role is played by the class of critical events, characterized by Non-Poisson statistics and non-exponential WT distribution. A particular important case is given by WT distributions with power tail. Critical events play a crucial role in the behavior of a property known as Renewal Aging. Focusing on the role of critical events, the relation between superstatistics and non-homogeneous Poisson processes is discussed, and the role of Renewal Aging is illustrated by comparing a Non-Poisson model with a Poisson one, both of them modulated by a periodic forcing. It is shown that the analysis of Renewal Aging is sensitive to the presence of critical events and that this property can be exploited to detect Non-Poisson statistics in a time series. As a consequence, it is claimed that, apart from the characterization of superstatistical features such as the distribution of the intensive parameter or the separation of the time scales, the Renewal Aging property can give some effort to better determine the role of Non-Poisson critical events in intermittent systems.

Keywords

EN

intermittent systems; renewal theory; Non-Poisson statistics; power-law; waiting times

Discipline

• 02.50.Ey: Stochastic processes
• 05.40.Fb: Random walks and Levy flights
• 05.45.Tp: Time series analysis
• 87.18.-h: Biological complexity(see also 82.39.Rt Reactions in complex biological systems in physical chemistry)
• 87.18.Tt: Noise in biological systems

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2009
• Volume: 7
• Issue: 3
• Pages: 421-431

Dates

published

1 - 9 - 2009

online

25 - 6 - 2009

Contributors

author

Paolo Paradisi

• Istituto di Scienze dell’Atmosfera e del Clima (ISAC-CNR), Strada Provinciale Lecce-Monteroni Km 1.200, I-73100, Lecce, Italy

author

Rita Cesari

• Istituto di Scienze dell’Atmosfera e del Clima (ISAC-CNR), Strada Provinciale Lecce-Monteroni Km 1.200, I-73100, Lecce, Italy

author

Paolo Grigolini

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Identifiers

DOI

10.2478/s11534-009-0069-x