Collapse of two-dimensional linear polymers

We study the collapse transition of a two-dimensional, very long polymer. The model we consider is a lattice model where the chain is represented by a self-avoiding walk with nearest-neighbor attraction. By using the transfer matrix technique we calculate exactly the thermal and geometrical properties of the polymer on strips of finite width. We then use finite-size scaling to determine the values of the tricritical ( point) exponentsv ₁=0.55±0.01v _u=1.15±0.15 ₁/v₁=1.80±0.05 We compare these results to the other values already proposed in the literature.