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Scale-free Monte Carlo method for calculating the critical exponent<i>γ</i>of self-avoiding walks

Scale-free Monte Carlo method for calculating the critical exponent<i>γ</i>of self-avoiding walks

We implement a scale-free version of the pivot algorithm and use it to sample pairs of three-dimensional self-avoiding walks, for the purpose of efficiently calculating an observable that corresponds to the probability that pairs of self-avoiding walks remain self-avoiding when they are concatenated. We study the properties of this Markov …