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

N. Korabel·A. V. Chechkin·R. Klages·I. M. Sokolov·V. Yu. Gonchar
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Abstract

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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N. Korabel, A. V. Chechkin, R. Klages, I. M. Sokolov, V. Yu. Gonchar. 2004-03-18. Understanding Anomalous Transport in Intermittent Maps: From Continuous Time Random Walks to Fractals. https://doi.org/10.1209/epl%2Fi2004-10460-6

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