UNIVERSALITY CLASS OF TRAILS IN 2 DIMENSIONS

Citation
I. Guim et al., UNIVERSALITY CLASS OF TRAILS IN 2 DIMENSIONS, Journal of physics. A, mathematical and general, 30(2), 1997, pp. 413-421
Citations number
26
Categorie Soggetti
Physics
ISSN journal
03054470
Volume
30
Issue
2
Year of publication
1997
Pages
413 - 421
Database
ISI
SICI code
0305-4470(1997)30:2<413:UCOTI2>2.0.ZU;2-K
Abstract
A trail is a walk on a lattice that may visit a site more than once bu t a bond at most once. We have carried out transfer-matrix studies of trails on the square lattice and of hybrid walks that interpolate betw een self-avoiding walks and trails. The results are in agreement with the same universal exponents as self-avoiding walks. However, the fini te-size corrections are much larger than for self-avoiding walks. An e xplanation in terms of an irrelevant variable with scaling index y(u) = -11/12 is given.