Aging at the edge of chaos: glassy dynamics and nonextensive statistics

被引：12

作者：

Robledo, A ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Fis, Mexico City 01000, DF, Mexico

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2004年 / 342卷 / 1-2期

关键词：

glassy dynamics; ergodicity breakdown; edge of chaos; external noise; nonextensive statistics;

D O I：

10.1016/j.physa.2004.04.065

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We go over our finding that the dynamics at the noise-perturbed edge of chaos in logistic maps is comparable to that observed in supercooled liquids close to vitrification. That is, the three major features of glassy dynamics in structural glass formers, two-step relaxation, aging, and a relationship between relaxation time and configurational entropy, are displayed by orbits with vanishing Lyapunov exponent. The known properties in control-parameter space of the noise-induced bifurcation gap play a central role in determining the characteristics of dynamical relaxation at the chaos threshold. Time evolution is obtained from the Feigenbaum RG transformation, it is expressed analytically via q-exponentials, and described in terms of nonextensive statistics. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：104 / 111

页数：8

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