Macromolecular dimensions obtained by an efficient Monte Carlo method: The mean square end-to-end separation

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Abstract
The ’’slithering snake’’ Monte Carlo technique has been used to generate a very large number of samples on the three choice square planar lattice for chains of 20, 40, 60, 100, 180, 360, and 600 links. The corresponding mean square end‐to‐end separations, 〈r2〉, have been calculated with greater precision than previously possible and compared with the earlier Monte Carlo calculations and with the asymptotic formula of Domb. The present Monte Carlo technique has also been used to generate end‐to‐end distributions for long chains. The correlation between samples for the ’’slithering snake’’ method is also discussed.