Scaling of self-avoiding walks and self-avoiding trails in three dimensions

Authors
Prellberg, T
Citation
T. Prellberg, Scaling of self-avoiding walks and self-avoiding trails in three dimensions, J PHYS A, 34(43), 2001, pp. L599-L602
Citations number
12
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
34
Issue
43
Year of publication
2001
Pages
L599 - L602
Database
ISI
SICI code
0305-4470(20011102)34:43<L599:SOSWAS>2.0.ZU;2-K
Abstract
Motivated by recent claims of a proof that the length scale exponent for th e end-to-end distance scaling of self-avoiding walks is precisely 7/12 = 0. 5833..., we present results of large-scale simulations of self-avoiding wal ks and self-avoiding trails with repulsive contact interactions on the simp le cubic lattice. We find no evidence to support this claim; our estimate v = 0.5874(2) is in accord with the best previous results from simulations.