Deterministic Aging

E. Barkai

Deterministic Aging

Department of Physics - at Bar-Ilan University

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

We investigate aging behavior in a dynamical system: a non-linear map which generates sub-diffusion deterministically. Behaviors of the diffusion process are described using aging continuous time random walks. We briefly relate the aging behavior to other anomalous features of the map: q exponential sensitivity of trajectories to initial conditions, divergence of escape times from unstable fixed points, anomalous diffusion, breaking of ergodicity, and the absence of an invariant measure.

Original language	American English
Title of host publication	Complexity, Metastability, and Nonextensivity
Editors	Beck C, Benedek G, Rapisarda A, Tsallis C
Publisher	World Scientific Publishing
Pages	128-134
State	Published - 2004

Bibliographical note

The Science and Culture Series Physics (World Scientific) (2004).

Cite this

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title = "Deterministic Aging",

abstract = "We investigate aging behavior in a dynamical system: a non-linear map which generates sub-diffusion deterministically. Behaviors of the diffusion process are described using aging continuous time random walks. We briefly relate the aging behavior to other anomalous features of the map: q exponential sensitivity of trajectories to initial conditions, divergence of escape times from unstable fixed points, anomalous diffusion, breaking of ergodicity, and the absence of an invariant measure.",

author = "E. Barkai",

note = "The Science and Culture Series Physics (World Scientific) (2004).",

year = "2004",

language = "American English",

pages = "128--134",

editor = "Beck C and Benedek G and Rapisarda A and Tsallis C",

booktitle = "Complexity, Metastability, and Nonextensivity",

publisher = "World Scientific Publishing",

}

TY - CHAP

T1 - Deterministic Aging

AU - Barkai, E.

N1 - The Science and Culture Series Physics (World Scientific) (2004).

PY - 2004

Y1 - 2004

N2 - We investigate aging behavior in a dynamical system: a non-linear map which generates sub-diffusion deterministically. Behaviors of the diffusion process are described using aging continuous time random walks. We briefly relate the aging behavior to other anomalous features of the map: q exponential sensitivity of trajectories to initial conditions, divergence of escape times from unstable fixed points, anomalous diffusion, breaking of ergodicity, and the absence of an invariant measure.

AB - We investigate aging behavior in a dynamical system: a non-linear map which generates sub-diffusion deterministically. Behaviors of the diffusion process are described using aging continuous time random walks. We briefly relate the aging behavior to other anomalous features of the map: q exponential sensitivity of trajectories to initial conditions, divergence of escape times from unstable fixed points, anomalous diffusion, breaking of ergodicity, and the absence of an invariant measure.

M3 - Chapter

SP - 128

EP - 134

BT - Complexity, Metastability, and Nonextensivity

A2 - C, Beck

A2 - G, Benedek

A2 - A, Rapisarda

A2 - C, Tsallis

PB - World Scientific Publishing

ER -

Deterministic Aging

Abstract

Bibliographical note

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