Aging in subdiffusion generated by a deterministic dynamical system

被引:149
作者
Barkai, E [1 ]
机构
[1] Univ Notre Dame, Dept Chem & Biochem, Notre Dame, IN 46556 USA
关键词
D O I
10.1103/PhysRevLett.90.104101
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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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页数:4
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