A pivot algorithm is used to numerically investigate the shape properties of linear polymers, with and without excluded volume, in two and three dimensions. The high computational efficiency of the pivot algorithm has allowed us to obtain data which is four to eight times more accurate than our previous Brownian dynamics simulations, while employing considerably less computational resources. The accurate data for long polymer chains highlight the inadequacy of the d expansion of polymer shapes to first order only.
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Bishop et al. (1988) studied this question.
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