KINETIC-MODEL FOR A POLYMER IN ONE-DIMENSION

We consider a model for a directed polymer on a one-dimensional lattic e of width 2, with attractive interactions between monomers that occup y first-neighbor sites on the lattice and are not consecutive along th e chain. We show that this model is equivalent to the one-dimensional Ising model with first- and second-neighbor interactions. We study the kinetic behavior of the model in the region of the phase diagram wher e the ground state is not frustrated, using a Glauber ansatz for the t ime evolution of the configurations. In order to decouple the dynamica l equations, we use the pair approximation. In this approximation, we show that the dynamical exponent of the model is a function of the rat io between second- and first-neighbor interaction strengths.