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Journal ArticleDOI

Monte carlo calculation of the average extension of molecular chains

Marshall N. Rosenbluth, +1 more
- 01 Feb 1955 - 
- Vol. 23, Iss: 2, pp 356-359
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TLDR
In this paper, 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, subject to the restrictions of no crossing or doubling back.
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.

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Sequential Monte Carlo methods in practice

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Configurational bias Monte Carlo: a new sampling scheme for flexible chains

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References
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Journal ArticleDOI

Über die Gestalt fadenförmiger Moleküle in Lösungen

TL;DR: In this paper, the authors describe a kleinen Abanderungen der vorkommenden Konstanten auch fur den Fall beschrankter Drehbarkeit and fest vorgegebener bis ganz „regelloser Valenzwinkelung.