Monte Carlo simulation of the electronic excitation transport on the freely-jointed polymer chain

Abstract

A random walk on a freely-jointed infinite polymer (Kuhn model) has been studied by Monte Carlo simulation. The behavior of S(n) (the mean number of new sites visited by the walker after n steps) depends on the segment length and parameter of exchange interaction. In the long-time limit ( n > 10 6) and for relatively short time intervals defined by the segment length, the excitation transport can be characterized as 1-D random walks. For intermediate times the S(n) function exhibits a fractal-like behavior: S(n) ∼ n d s/2 . The spectral dimension d s = 1.64-1.67 has been obtained for the δ-p This value does not depend on the exchange interaction as distinct from that at good solvent conditions.