DOI: 10.1063/1.450158. Scaling in three-dimensional linear and ring polymers

Scaling in three-dimensional linear and ring polymers

10.1063/1.450158

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

Bead size effects on the excluded volume of linear and ring polymers are investigated by Brownian dynamics. It is found that the mean dimensions of the chains follow a scaling relation with scaling variable X=N (σ/l)d/φ, where N is the number of units on the chain, σ is the size of the unit, l is the link length, d is the dimension, and φ is the crossover exponent. The scaling law is 〈R2〉/〈R2〉0 or 〈S2〉/〈S2〉0∼X2ν−1 for X→∞ where ν is the critical exponent for the mean dimensions of an isolated polymer chain.

Bibliography

Bishop, M., & Michels, J. P. J. (1986). Scaling in three-dimensional linear and ring polymers. The Journal of Chemical Physics, 84(1), 444â446.

Authors 2

Marvin Bishop (first)
J. P. J. Michels (additional)

References 13 Referenced 27

10.1063/1.448949 / J. Chem. Phys. (1985)
10.1016/0375-9601(82)90636-3 / Phys. Lett. A (1982)
{'key': '2024021002451900600_r3'}
10.1088/0305-4470/8/6/012 / J. Phys. A (1975)
10.1088/0305-4470/10/11/022 / J. Phys. A (1977)
{'key': '2024021002451900600_r6', 'first-page': '339', 'volume': '38', 'year': '1972', 'journal-title': 'Phys. Lett.'} / Phys. Lett. (1972)
10.1007/BF02747277 / Riv. Nuovo Cimento (1977)
10.1007/BF01292850 / Z. Phys. B (1981)
10.1103/RevModPhys.46.597 / Revs. Mod. Phys. (1974)
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10.1063/1.441865 / J. Chem. Phys. (1981)

Dates

Type	When
Created	23 years, 1 month ago (July 26, 2002, 9 a.m.)
Deposited	1 year, 6 months ago (Feb. 9, 2024, 11:03 p.m.)
Indexed	1 year, 5 months ago (April 1, 2024, 11:08 a.m.)
Issued	39 years, 8 months ago (Jan. 1, 1986)
Published	39 years, 8 months ago (Jan. 1, 1986)
Published Print	39 years, 8 months ago (Jan. 1, 1986)

Funders 0

None

BibTeX

@article{Bishop_1986, title={Scaling in three-dimensional linear and ring polymers}, volume={84}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.450158}, DOI={10.1063/1.450158}, number={1}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Bishop, Marvin and Michels, J. P. J.}, year={1986}, month=jan, pages={444–446} }

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