Abstract

Following the general ideas by Swendsen (1982) a Monte Carlo renormalisation group (MCRG) estimation of the end-to-end exponent nu for the one-dimensional true self-avoiding walk (TSAW) has been carried out. Because the TSAW is known to reach its asymptotic behaviour only very slowly an approximate expression for the fixed point has been determined by Monte Carlo techniques. This approximate fixed point has been used as a starting point for the MCRG. The final result for the exponent nu is 0.665+or-0.004.

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