Long-time behavior in diffusion and trapping

In the framework of the continuous time random walk (CTRW), we center our attention on the role of the distribution of stepping times. As an application, we analyze both the mean-squared distance traveled and the probability for a walker to be trapped by randomly distributed traps. As a function of the stepping time distribution, we find that trapping shows a rich time dependence and that the onset of the asymptotic behavior for diffusion and for trapping may occur on widely different time scales.