Monte Carlo Calculation of the Average Extension of Molecular Chains
Abstract
The behavior of chains of very many molecules is investigated by solving a restricted random walk problem on a cubic lattice in three dimensions and a square lattice in two dimensions. In the Monte Carlo calculation a large number of chains are generated at random, subject to the restrictions of no crossing or doubling back, to give the average extension of the chain <R^{2}>_{Av} as a function of N, the number of links in the chain. A system of weights is used in order that all possible allowed chains are counted equally. Results for the true random walk problem without weights are obtained also.
 Publication:

Journal of Chemical Physics
 Pub Date:
 February 1955
 DOI:
 10.1063/1.1741967
 Bibcode:
 1955JChPh..23..356R