Aging in subdiffusion generated by a deterministic dynamical system.
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.
Barkai
Eli
E
Department of Chemistry and Biochemistry, Notre Dame University, Notre Dame, Indiana 46556, USA. jbarkai@nd.edu