Two dimensional self-avoiding walk with hydrogen-like bonding: Phase diagram and critical behaviour

Abstract

The phase diagram for a two-dimensional self-avoiding walk model on the square lattice incorporating attractive short-ranged interactions between parallel sections of walk is derived using numerical transfer matrix techniques. The model displays a collapse transition. In contrast to the standard $θ$-point model, the transition is first order. The phase diagram in the full fugacity-temperature plane displays an additional transition line, when compared to the $θ$-point model, as well as a critical transition at finite temperature in the hamiltonian walk limit.