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Cited by 168

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Aging in Subdiffusion Generated by a Deterministic Dynamical System

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Barkai, Eli·2003·Physical Review Letters

Abstract

We investigate aging behavior in a simple dynamical system: a nonlinear map which generates subdiffusion deterministically. Asymptotic behaviors of the diffusion process are described using aging continuous time random walks. We show how these processes are described by an aging diffusion equation which is of fractional order. Our work demonstrates that aging behavior can be found in deterministic low dimensional dynamical systems.

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Metadata

Authors
Barkai, E.
Venue
Physical Review Letters
Published
2003-03-12
Volume
90
Issue
10
Pages
104101-104101
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
OpenAlex
W2000523344
Cited by
168
References
1
FWCI
14.79
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Aging in Subdiffusion Generated by a Deterministic Dynamical System. https://app.cochat.ai/papers/10.1103/physrevlett.90.104101
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Barkai, E. (2003). Aging in Subdiffusion Generated by a Deterministic Dynamical System. Physical Review Letters. https://doi.org/10.1103/physrevlett.90.104101

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.