Noise-induced transition from anomalous to ordinary diffusion: The crossover time as a function of noise intensity Metadata

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Title

  • Main Title Noise-induced transition from anomalous to ordinary diffusion: The crossover time as a function of noise intensity

Creator

  • Author: Floriani, Elena
    Creator Type: Personal
    Creator Info: Università di Pisa
  • Author: Grigolini, Paolo
    Creator Type: Personal
    Creator Info: University of North Texas; Università di Pisa
  • Author: Mannella, Riccardo
    Creator Type: Personal
    Creator Info: Università di Pisa

Publisher

  • Name: American Physical Society
    Place of Publication: [College Park, Maryland]

Date

  • Creation: 1995-12

Language

  • English

Description

  • Content Description: This article discusses noise-induced transition from anomalous to ordinary diffusion and the crossover time as a function of noise intensity.
  • Physical Description: 8 p.

Subject

  • Keyword: anomalous diffusion
  • Keyword: Brownian motion
  • Keyword: dynamical model

Source

  • Journal: Physical Review E, 1995, College Park: American Physical Society

Citation

  • Publication Title: Physical Review E
  • Volume: 52
  • Issue: 6
  • Page Start: 5910
  • Page End: 5917
  • Peer Reviewed: True

Collection

  • Name: UNT Scholarly Works
    Code: UNTSW

Institution

  • Name: UNT College of Arts and Sciences
    Code: UNTCAS

Rights

  • Rights Access: public

Resource Type

  • Article

Format

  • Text

Identifier

  • DOI: 10.1103/PhysRevE.52.5910
  • Archival Resource Key: ark:/67531/metadc139501

Degree

  • Academic Department: Physics
  • Academic Department: Center for Nonlinear Science

Note

  • Display Note: Copyright 1995 American Physical Society. The following article appeared in Physical Review E, 52:6, pp. 5910-5917, http://link.aps.org/doi/10.1103/PhysRevE.52.5910
  • Display Note: Abstract: We study the interplay between a deterministic process of weak chaos, responsible for the anomalous diffusion of a variable x, and a white noise of intensity ≡. The deterministic process of anomalous diffusion results from the correlated fluctuations of a statistical variable ξ between two distinct values +1 and -1, each of them characterized by the same waiting time distribution ψ(t), given by ψ(t)≃ t(-μ) with 2 < μ < 3, in the long-time limit. We prove that under the influence of a weak white noise of intensity ≡, the process of anomalous diffusion becomes normal at a time t(c) given by t(c) ~ 1/≡(β)(μ). Here β(μ) is a function of μ which depends on the dynamical generator of the waiting-time distribution ψ(t). We derive an explicit expression for β(μ) in the case of two dynamical systems, a one-dimensional superdiffusive map and the standard map in the accelerating state. The theoretical prediction is supported by numerical calculations.