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.
Series Study of the One-dimensional True Self-avoiding Walk
STELLA, ATTILIO;
1984
Abstract
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.
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