Abstract
The applications of the Domb-Joyce model to polymer chains of finite length is discussed. Techniques are developed which permit the computation of the mean square end-to-end length (RN2( omega )) of a lattice walk with an interaction omega . Numerical estimates of the first three coefficients of the series alpha 2=1+k1 Omega 2+... are obtained for various N, and these estimates are extrapolated to N infinite, thus yielding the two-parameter value. The results are in excellent agreement with theoretical predictions, and confirm the universality hypothesis of Domb. Some consideration is given to the possible form of corrections to the two-parameter function.