Series study of the one-dimensional 'true' self-avoiding walk

The 'true' self avoiding walk problem is formulated using a grand canonical approach, and exact enumeration methods are used to calculate the average end-to-end distance for one-dimensional 'true' self-avoiding walks with up to 21 steps. The results are in agreement with a universality picture obtained both from Monte Carlo simulations and from scaling and crossover arguments. The extrapolated value of the end-to-end distance exponent nu is nu =0.67+or-0.04.