Aging in Subdiffusion Generated by a Deterministic Dynamical System

2003/03/12 by Yong He, Eli Barkai · 6 citations
Mathematics · Medicine · Physics and Astronomy · #Fractional Differential Equations Solutions #Mathematical and Theoretical Epidemiology and Ecology Models #Theoretical and Computational Physics #cond-mat.stat-mech #physics.chem-ph

paper · pdf · doi:10.1103/physrevlett.90.104101

published as Phys. Rev. Lett. 90 104101 (2003) · 5 pages, 1 figure

openalex publication_date 2003/03/12 · arxiv created 2003/12/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• The random walk's guide to anomalous diffusion: a fractional dynamics approach

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