Transition of Multidimensional Jumplike Processes from Anomalous Diffusion to Linear Diffusion

We consider multidimensional “quasi-anomalous” random-walk processes having linear-diffusion asymptotic representations at large times and obeying anomalous-diffusion laws at intermediate times (but which are also sufficiently large compared with microscopic time scales). The transition of a jumplike process from anomalous diffusion to linear diffusion is demonstrated. We use numerical computation to confirm the validity of the analytic calculations for the two-and three-dimensional cases.