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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 〈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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Cited by
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Djuric, P. M., Kotecha, J. H., Zhang, J., Huang, Y., Ghirmai, T., Bugallo, M. F., & Miguez, J. (2003) · IEEE Signal Processing Magazine · doi:10.1109/msp.2003.1236770 · Cited by 965
Novel scheme to study structural and thermal properties of continuously deformable molecules
Frenkel, D., Mooij, G. C. A. M., & Smit, B. (1992) · Journal of Physics: Condensed Matter · doi:10.1088/0953-8984/4/12/006 · Cited by 462
Effect of Short Chain Branching on the Interlamellar Structure of Semicrystalline Polyethylene
Kumar, V., Locker, C. R., in ’t Veld, P. J., & Rutledge, G. C. (2017) · Macromolecules · doi:10.1021/acs.macromol.6b02458 · Cited by 65
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Micheletti, C., Hauke, P., & Faccioli, P. (2021) · Physical Review Letters · doi:10.1103/physrevlett.127.080501 · Cited by 48
Metadata
- Authors
- Rosenbluth, M. N., & Rosenbluth, A. W.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 1955-02-01
- Volume
- 23
- Issue
- 2
- Pages
- 356-359
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W1518747218
- Cited by
- 1,077
- References
- 0
- FWCI
- 2.50
- Type
- journal article
- Language
- en
- Open access
- closed
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- Rosenbluth, M. N., & Rosenbluth, A. W. (1955). Monte Carlo Calculation of the Average Extension of Molecular Chains. The Journal of Chemical Physics. https://doi.org/10.1063/1.1741967
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