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

1984; Institute of Physics; Volume: 17; Issue: 9 Linguagem: Inglês

10.1088/0305-4470/17/9/024

1361-6447

Attilio L. Stella, S. L. A. de Queiroz, Phillip M. Duxbury, R B Stinchcombe,

Random Matrices and Applications

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.