Effective Jump Length of Coupled Continuous Time Random Walk

The concept effective jump length is proposed. Due to the joint probability density function of jump length and waiting time, it is complicated to distinguish the diffusion types. However, we calculate the probability density function of effective jump length for the coupled continuous time random walk model we proposed previously. The mean square displacements deduced are coincident with the known results. More importantly, we find that the anomalous diffusion induced by the coupled model is equivalent to the competition between long jump length and long waiting time.