Examination of the theta -point from exact enumeration of self-avoiding walks. II

Abstract

For pt.I., see ibid., vol.18, P.3181(1985). The theta -point (collapse transition) is examined using a series analysis method for self-avoiding walks on the tetrahedral and square lattices. The results are, as a whole, compatible with Moore's conjecture (1977) that the order of transition is first in two dimensions while second in three dimensions. The temperature dependence of an exponent delta for the end-distance distribution is estimated together with those of exponents nu and gamma . In particular, the author has obtained that delta is 2.22+or-0.05 at the theta -point in two dimensions and 2.06+or-0.04 in three dimensions.