Noise-induced transition from anomalous to ordinary diffusion: The crossover time as a function of noise intensity Metadata
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- Main Title Noise-induced transition from anomalous to ordinary diffusion: The crossover time as a function of noise intensity
Author: Floriani, ElenaCreator Type: PersonalCreator Info: Università di Pisa
Author: Grigolini, PaoloCreator Type: PersonalCreator Info: University of North Texas; Università di Pisa
Author: Mannella, RiccardoCreator Type: PersonalCreator Info: Università di Pisa
Name: American Physical SocietyPlace of Publication: [College Park, Maryland]
- Creation: 1995-12
- 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.
- Keyword: anomalous diffusion
- Keyword: Brownian motion
- Keyword: dynamical model
- Journal: Physical Review E, 1995, College Park: American Physical Society
- Publication Title: Physical Review E
- Volume: 52
- Issue: 6
- Page Start: 5910
- Page End: 5917
- Peer Reviewed: True
Name: UNT Scholarly WorksCode: UNTSW
Name: UNT College of Arts and SciencesCode: UNTCAS
- Rights Access: public
- DOI: 10.1103/PhysRevE.52.5910
- Archival Resource Key: ark:/67531/metadc139501
- Academic Department: Physics
- Academic Department: Center for Nonlinear Science
- 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.