DOI: 10.1073/pnas.75.5.2069. Statistics of self-avoiding walks confined to strips and capillaries

Statistics of self-avoiding walks confined to strips and capillaries

10.1073/pnas.75.5.2069

Crossref journal-article

Proceedings of the National Academy of Sciences

Proceedings of the National Academy of Sciences (341)

Abstract

A long self-avoiding chain confined to a narrow strip or thin tube tends to be elongated in the direction of the strip or tube. The mean end-to-end separation of a long chain so confined becomes asymptotically proportional to the number of links in the chain as the contour chain length becomes infinite. By use of scaling arguments, it is shown that the mean end-to-end separation also becomes proportional to D -1/3 for chains confined to two-dimensional strips and proportional to D -2/3 for three-dimensional capillaries, where D is the width or diameter of the strip or capillary. These predictions have been verified by Monte Carlo studies of self-avoiding walks. The agreement is excellent for two-dimensional systems, but less certain for those of three dimensions since less data are available for verification.

Bibliography

Wall, F. T., Seitz, W. A., Chin, J. C., & Gennes, P. G. D. (1978). Statistics of self-avoiding walks confined to strips and capillaries. Proceedings of the National Academy of Sciences, 75(5), 2069â2070.

Authors 4

Frederick T. Wall (first)
William A. Seitz (additional)
John C. Chin (additional)
P. G. De Gennes (additional)

References 0 Referenced 45

None

Dates

Type	When
Created	19 years, 3 months ago (May 31, 2006, 3:43 a.m.)
Deposited	3 years, 4 months ago (April 13, 2022, 10:49 a.m.)
Indexed	1 year ago (Aug. 30, 2024, 9:17 a.m.)
Issued	47 years, 4 months ago (May 1, 1978)
Published	47 years, 4 months ago (May 1, 1978)
Published Online	47 years, 4 months ago (May 1, 1978)
Published Print	47 years, 4 months ago (May 1, 1978)

Funders 0

None

BibTeX

@article{Wall_1978, title={Statistics of self-avoiding walks confined to strips and capillaries}, volume={75}, ISSN={1091-6490}, url={http://dx.doi.org/10.1073/pnas.75.5.2069}, DOI={10.1073/pnas.75.5.2069}, number={5}, journal={Proceedings of the National Academy of Sciences}, publisher={Proceedings of the National Academy of Sciences}, author={Wall, Frederick T. and Seitz, William A. and Chin, John C. and Gennes, P. G. De}, year={1978}, month=may, pages={2069–2070} }

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