DOI: 10.1063/1.448293. Statistics of the entanglement of polymers: Concentration effects

Statistics of the entanglement of polymers: Concentration effects

10.1063/1.448293

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

Central concepts of the reptation model of polymer relaxation by disentanglement are the confining tube, the primitive path, and the entanglement net. These are given more precise definitions and are expounded upon here. The entanglement net is regarded as the set of primitive paths of the molecules. The scaling relation connecting distance between entanglements and concentration is derived by a self-consistency argument. Explicit results on probability distributions characterizing unentangled loops and primitive path lengths are derived. The polymers are modeled as random walks in a regular entanglement net. Results are presented as a function of the spacing between entanglements.

Bibliography

Rubinstein, M., & Helfand, E. (1985). Statistics of the entanglement of polymers: Concentration effects. The Journal of Chemical Physics, 82(5), 2477â2483.

Authors 2

Michael Rubinstein (first)
Eugene Helfand (additional)

References 14 Referenced 90

10.1063/1.1675789 / J. Chem. Phys. (1971)
{'key': '2024021001393508800_r1a'}
10.1039/F29787401789 / J. Chem. Soc. Faraday Trans. 2 (1978)
10.1039/F29787401802 / J. Chem. Soc. Faraday Trans. 2 (1978)
10.1039/F29787401818 / J. Chem. Soc. Faraday Trans. 2 (1978)
10.1021/ma60052a011 / Macromolecules (1976)
{'key': '2024021001393508800_r6', 'first-page': '143', 'volume': '6', 'year': '1977', 'journal-title': 'Polymer'} / Polymer (1977)
10.1063/1.445989 / J. Chem. Phys. (1983)
10.1021/ma00134a060 / Macromolecules (1984)
10.1002/pol.1980.130181205 / J. Polym. Sci., Polym. Lett. Ed. (1980)
10.1021/ma60059a048 / Macromolecules (1977)
{'key': '2024021001393508800_r11', 'first-page': '1913', 'volume': '77', 'year': '1981', 'journal-title': 'J. Chem. Soc. Faraday Trans. 2'} / J. Chem. Soc. Faraday Trans. 2 (1981)
10.1088/0305-4470/8/6/014 / J. Phys. A (1975)
10.1021/ma50007a011 / Macromolecules (1981)

Dates

Type	When
Created	23 years ago (July 26, 2002, 9:08 a.m.)
Deposited	1 year, 6 months ago (Feb. 9, 2024, 9:54 p.m.)
Indexed	1 month, 1 week ago (July 16, 2025, 8:37 a.m.)
Issued	40 years, 5 months ago (March 1, 1985)
Published	40 years, 5 months ago (March 1, 1985)
Published Print	40 years, 5 months ago (March 1, 1985)

Funders 0

None

BibTeX

@article{Rubinstein_1985, title={Statistics of the entanglement of polymers: Concentration effects}, volume={82}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.448293}, DOI={10.1063/1.448293}, number={5}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Rubinstein, Michael and Helfand, Eugene}, year={1985}, month=mar, pages={2477–2483} }

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