A model of concentrated polymers described by generalized random walks

A model for concentrated polymer system is proposed. Dynamics of the chain segments is described by a discrete Langevin equation. The Langevin equation has the same structure as the recursion relation for the generalized random walks (GRW). Motions of the chain segments described by the GRW have two different types of jumping probabilities: rapidly varying parts and slowly varying parts. Based on a postulate for the recursion relation, an interplay between the motions arisen from these characteristic behaviors is given explicitly and studied.