Short-distance wavefunction statistics in one-dimensional Anderson localization

We investigate the short-distance statistics of the local density of states in long one-dimensional disordered systems, which display Anderson localization. It is shown that the probability distribution function can be recovered from the long-distance wavefunction statistics, if one also uses parameters that are irrelevant from the perspective of two-parameter scaling theory.Received: 10 July 2003, Published online: 15 October 2003PACS: 72.15.Rn Localization effects (Anderson or weak localization) - 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion - 42.25.Dd Wave propagation in random media - 73.20.Fz Weak or Anderson localization