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

A random walk on a freely-jointed infinite polymer (Kuhn model) has been studied by Monte Carlo simulation. The behavior ofS(n) (the mean number of new sites visited by the walker aftern steps) depends on the segment length and parameter of exchange interaction. In the long-time limit (n > 106) 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 theS(n) function exhibits a fractal-like behavior:S(n) ∼ nds/2. The spectral dimensionds = 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.