Macromolecular dimensions obtained by an efficient Monte Carlo method without sample attrition
J. Chem. Phys. 63, 4592 (1975); doi:10.1063/1.431268
Issue Date: 1 December 1975
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The statistical dimensions of macromolecular chains of fixed contour length can be rapidly calculated by Monte Carlo methods applied to a model consisting of dynamic self-avoiding random chains on a lattice. This ''slithering snake'' model involves moving the head of a chain one space in a lattice with all other elements of the chain moving forward along the old contour. Possible moves of the head are selected at random, but if such a move is precluded by double occupancy, the old configuration is retained, with head and tail interchanged, and then counted as if a move were made. This technique gives unbiased statistical results except for the effect of double cul-de-sacs. The method can also be applied to interacting chains, either free or confined to a box. Calculations have been made for 10-link chains on a square planar lattice for two different concentrations in infinite space and for two concentrations in a small box.
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