LOW-TEMPERATURE 2D POLYMER PARTITION-FUNCTION SCALING - SERIES ANALYSIS RESULTS

By utilizing newly extended series for self-avoiding walks and polygon s with nearest-neighbour interactions on the square lattice we have ex amined the validity of a recent conjecture on the scaling of their par tition functions at low temperatures. The ratio of the walk to polygon partition functions should have a length-dependent power law singular ity, n(gamma D), at all temperatures. At low temperatures we find gamm a(D) is 0.92+/-0.09 in distinction to the conjectured value of 19/16 = 1.1875, though we find agreement at high temperatures and at the thet a-temperatures with the conjectured values there.