DOI: 10.1063/1.1741967. Monte Carlo Calculation of the Average Extension of Molecular Chains

Monte Carlo Calculation of the Average Extension of Molecular Chains

10.1063/1.1741967

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

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 〈R2〉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.

Bibliography

Rosenbluth, M. N., & Rosenbluth, A. W. (1955). Monte Carlo Calculation of the Average Extension of Molecular Chains. The Journal of Chemical Physics, 23(2), 356â359.

Authors 2

Marshall N. Rosenbluth (first)
Arianna W. Rosenbluth (additional)

References 2 Referenced 872

10.1007/BF01451681 / Kolloid-Z. (1934)
10.1063/1.1740258 / J. Chem. Phys. (1954)

Dates

Type	When
Created	20 years, 4 months ago (April 22, 2005, 1:26 p.m.)
Deposited	1 year, 6 months ago (Feb. 8, 2024, 12:16 p.m.)
Indexed	21 hours, 29 minutes ago (Aug. 23, 2025, 9:54 p.m.)
Issued	70 years, 6 months ago (Feb. 1, 1955)
Published	70 years, 6 months ago (Feb. 1, 1955)
Published Print	70 years, 6 months ago (Feb. 1, 1955)

Funders 0

None

BibTeX

@article{Rosenbluth_1955, title={Monte Carlo Calculation of the Average Extension of Molecular Chains}, volume={23}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1741967}, DOI={10.1063/1.1741967}, number={2}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Rosenbluth, Marshall N. and Rosenbluth, Arianna W.}, year={1955}, month=feb, pages={356–359} }

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