DOI: 10.1063/1.442863. Critical exponents for surface interacting self-avoiding lattice walks. I. Three-dimensional lattices

Critical exponents for surface interacting self-avoiding lattice walks. I. Three-dimensional lattices

10.1063/1.442863

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

Self-avoiding lattice walks interacting with an interface are investigated as a model of polymer adsorption. The value of a critical exponent δa is estimated at 1.7±0.3 from the exact enumeration data up to 20 and 14 steps for the tetrahedral and simple cubic lattices, respectively; δa is defined from the dependence of the free energy of an adsorbed polymer chain on the interaction with interface. The value differs from the scaling prediction δa = 5/2 of de Gennes. An assumption involved in the scaling treatment is examined by using the enumerations of self-avoiding walks confined between two planes in order to explain the disagreement.

Bibliography

Ishinabe, T. (1982). Critical exponents for surface interacting self-avoiding lattice walks. I. Three-dimensional lattices. The Journal of Chemical Physics, 76(11), 5589â5594.

Authors 1

Takao Ishinabe (first)

References 27 Referenced 62

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Dates

Type	When
Created	22 years, 5 months ago (Feb. 28, 2003, 11:17 a.m.)
Deposited	1 year, 6 months ago (Feb. 9, 2024, 6:54 p.m.)
Indexed	1 year, 6 months ago (Feb. 10, 2024, 8:41 p.m.)
Issued	43 years, 2 months ago (June 1, 1982)
Published	43 years, 2 months ago (June 1, 1982)
Published Print	43 years, 2 months ago (June 1, 1982)

Funders 0

None

BibTeX

@article{Ishinabe_1982, title={Critical exponents for surface interacting self-avoiding lattice walks. I. Three-dimensional lattices}, volume={76}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.442863}, DOI={10.1063/1.442863}, number={11}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Ishinabe, Takao}, year={1982}, month=jun, pages={5589–5594} }

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