DOI: 10.1063/1.431357. Self-avoiding walks terminally attached to an interface

Self-avoiding walks terminally attached to an interface

10.1063/1.431357

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

We present some rigorous results on the asymptotic behavior of the numbers of self-avoiding walks terminally attached to an interface. In particular we show that the value of a particular limit for ’’tails’’ is the same as the value of the corresponding limit for ’’loops.’’ We also derive some rigorous bounds on the limiting behavior, for long walks, of the partition function of the system. Exact enumeration results for several lattices are interpreted as suggesting that a phase transition may occur from three dimensional behavior to two dimensional behavior and that the mean square length exponent may change discontinuously from 1.2 to 1.5 at this point.

Bibliography

Whittington, S. G. (1975). Self-avoiding walks terminally attached to an interface. The Journal of Chemical Physics, 63(2), 779â785.

Authors 1

Stuart G. Whittington (first)

References 10 Referenced 83

{'key': '2024020913025249600_r1'}
10.1039/F29757100235 / Chem. Soc. Faraday Trans. II (1975)
10.1063/1.1840775 / J. Chem. Phys. (1967)
10.1016/0021-9797(66)90033-6 / J. Colloid Interface Sci. (1966)
10.1063/1.1712225 / J. Chem. Phys. (1967)
10.1021/ma60041a022 / Macromolecules (1974)
10.1021/ma60041a028 / Macromolecules (1974)
10.1111/j.2517-6161.1954.tb00145.x / J. R. Stat. Soc. B (1954)
10.1017/S030500410003557X / Proc. Camb. Philos. Soc. (1961)
10.1063/1.1733626 / J. Chem. Phys. (1963)

Dates

Type	When
Created	22 years, 5 months ago (Feb. 27, 2003, 3:57 p.m.)
Deposited	8 months, 1 week ago (Dec. 11, 2024, 3:49 p.m.)
Indexed	8 months, 1 week ago (Dec. 12, 2024, 12:51 a.m.)
Issued	50 years, 1 month ago (July 15, 1975)
Published	50 years, 1 month ago (July 15, 1975)
Published Print	50 years, 1 month ago (July 15, 1975)

Funders 0

None

BibTeX

@article{Whittington_1975, title={Self-avoiding walks terminally attached to an interface}, volume={63}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.431357}, DOI={10.1063/1.431357}, number={2}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Whittington, Stuart G.}, year={1975}, month=jul, pages={779–785} }

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