Scale-invariant motion in intermittent chaotic systems

摘要: We investigate the dynamics generated from iterated maps and analyze motion in terms of probabilistic continuous-time random-walk (CTRW) approach. Two different CTRW models are considered: (i) Particles jump between sites (turning points) or (ii) particles move at a constant velocity choose new direction random. For both we study mean-squared displacement 〈${\mathit{r}}^{2}$(t)〉 propagator P(r,t), probability to be location r time t having started origin t=0. Iterated used generate dispersive enhanced diffusion results analyzed using framework scaling arguments. case discuss problem stationary state point out its relevance.