Non-Poisson Dichotomous Noise: Higher-Order Correlation Functions and Aging

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This article discusses non-Poisson dichotomous noise and higher-order correlation functions and aging.

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9 p.

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Allegrini, Paolo; Grigolini, Paolo; Palatella, Luigi & West, Bruce J. October 26, 2004.

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This article discusses non-Poisson dichotomous noise and higher-order correlation functions and aging.

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9 p.

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Copyright 2004 American Physical Society. The following article appeared in Physical Review E, 70:4; http://pre.aps.org/abstract/PRE/v70/i4/e046118

Abstract: We study a two-state symmetric noise, with a given waiting time distribution ψ(τ), and focus our attention on the connection between the four-time and two-time correlation functions. The transition of ψ(τ) from the exponential to the nonexponential condition yields the breakdown of the usual factorization condition of high-order correlation functions, as well as the birth of aging effects. We discuss the subtle connections between these two properties and establish the condition that the Liouville-like approach has to satisfy in order to produce a correct description of the resulting diffusion process.

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  • Physical Review E, 2004, College Park: American Physical Society

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  • Publication Title: Physical Review E
  • Volume: 70
  • Issue: 4
  • Pages: 9
  • Peer Reviewed: Yes

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  • October 26, 2004

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  • Sept. 9, 2011, 2:01 p.m.

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  • April 2, 2014, 4:21 p.m.

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Allegrini, Paolo; Grigolini, Paolo; Palatella, Luigi & West, Bruce J. Non-Poisson Dichotomous Noise: Higher-Order Correlation Functions and Aging, article, October 26, 2004; [College Park, Maryland]. (https://digital.library.unt.edu/ark:/67531/metadc40403/: accessed July 18, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT College of Arts and Sciences.

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