DYNAMICALLY GENERATED ENHANCED DIFFUSION - THE STATIONARY STATE CASE

We investigate the dynamics generated by iterated maps and analyze the motion in terms of the probabilistic continuous-time Levy walk approa ch. We consider the case of particles which move randomly with a const ant velocity between points of halt and study the mean-squared displac ement [r2(t)] and the propagator P(r, t), the probability to be at loc ation r at time t having started at the origin at t = 0. We emphasize the importance of the stationary state and demonstrate it in the case of enhanced diffusion.