UNIVERSAL DISTANCE RATIOS FOR INTERACTING 2-DIMENSIONAL POLYMERS

We present the hypothesis that at the theta-temperature of a single in teracting polymer in two dimensions, a particular combination of unive rsal distance amplitude ratios is given exactly by a simple formula in terms of critical indices only. This generalizes a similar claim for noninteracting self-avoiding walks,which was derived from conformal in variance considerations. We support our hypothesis with a series analy sis of interacting self-avoiding walks on the square lattice, high-pre cision simulations of interacting self-avoiding walks on the Manhattan lattice at the exact theta-point and similar simulations of interacti ng trails on the square lattice.