Understanding anomalous transport in intermittent maps: From continuous-time random walks to fractals

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. ne structure. Approximations beyond stochastic theory are derived from a generalized Taylor-Green-Kubo formula.