PARADOXICAL DIFFUSION IN CHEMICAL SPACE FOR NEAREST-NEIGHBOR WALKS OVER POLYMER-CHAINS

We consider random walks over polymer chains (modeled as simple random walks or self-avoiding walks) and allow from each polymer site jumps to all Euclidean (not necessarily chemical) neighboring sites. For fro zen chain configurations the distribution of displacements (DD) of a w alker along the chain shows a paradoxal behavior: The DD's width (inte rquartile distance) grows with time as Lambda proportional to t(alpha) , with alpha approximate to 0.5, but the DD displays large power-law t ails. For annealed configurations the DD is a Levy distribution and it s width is strongly superdiffusive.