APS » PROLA » Phys. Rev. A » Volume 41 » Issue 2

Phys. Rev. A 41, 682 - 688 (1990)

Analysis of exact enumeration data for self-avoiding walks attached to a surface

Download: Page Images , PDF (1093 kB), or Buy this Article (Use Article Pack) Export: BibTeX or EndNote (RIS)

K. De’Bell
Department of Physics, Memorial University, Canada A1B 3X7

T. Lookman
Department of Applied Mathematics, University of Western Ontario, Canada N6A 3K7

S. G. Whittington
Department of Chemistry, University of Toronto, Canada M5S 1A1

Received 28 April 1989

An analysis of exact enumeration data for self-avoiding walks attached to a surface is consistent with γ1=0.694±0.004 and γ11=-0.353±0.017 in three dimensions and consistent with the predictions of conformal invariance theory in two dimensions. Estimates of γs are strongly influenced by a confluent term in the generating function. We argue that this confluent term arises from a sum over lattice layers required to construct the generating function. An analysis of the data that allows for this confluent term is consistent with the scaling relation γs=γ+ν. .AE


©1990 The American Physical Society

URL: http://link.aps.org/abstract/PRA/v41/p682
DOI: 10.1103/PhysRevA.41.682
PACS: 05.50.+q, 64.60.Fr, 68.35.Rh

[ Abstract  |  Previous article  |  Next article  |  Issue 2 ]