EXAMINATION OF THE 1 D EXPANSION METHOD FROM EXACT ENUMERATION FOR A SELF-INTERACTING SELF-AVOIDING WALK/

The 1/d expansion method for polymer chains is examined by comparing t hese expansions for several thermodynamic and structural quantities wi th the results of standard series analysis of exact enumeration data. The comparisons cover a wide range of spatial dimensions d, including non-integer ones, and are performed for particular values of interacti on energy. Good agreement is generally found for d>4, whereas discrepa ncies become conspicuous as d decreases to d= 2. Reasonable values are obtained for the exponents nu and gamma in d = 2 - 4 by applying the coherent-anomaly method of Suzuki to our 1/d expansions through fifth order in d-1.