Understanding Anomalous Transport in Intermittent Maps: From Continuous Time Random Walks to Fractals

Details Understanding Anomalous Transport in Intermittent Maps: From Continuous Time Random Walks to Fractals Understanding Anomalous Transport in Intermittent Maps: From Continuous Time Random Walks to Fractals

2004-03-18

arxiv.org/abs/nlin/0403039v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 3 eps figures

Scientific paper

We show that the generalized diffusion coefficient of a subdiffusive intermittent map is a fractal function of control parameters. A modified continuous time random walk theory yields its coarse functional form and correctly describes a dynamical phase transition from normal to anomalous diffusion marked by strong suppression of diffusion. Similarly, the probability density of moving particles is governed by a time-fractional diffusion equation on coarse scales while exhibiting a specific fine structure. Approximations beyond stochastic theory are derived from a generalized Taylor-Green-Kubo formula.

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