ENUMERATION OF SELF-AVOIDING TRAILS ON A SQUARE LATTICE USING A TRANSFER-MATRIX TECHNIQUE

Authors
CONWAY AR GUTTMANN AJ
Citation
Ar. Conway et Aj. Guttmann, ENUMERATION OF SELF-AVOIDING TRAILS ON A SQUARE LATTICE USING A TRANSFER-MATRIX TECHNIQUE, Journal of physics. A, mathematical and general, 26(7), 1993, pp. 1535-1552
Citations number
15
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
26
Issue
7
Year of publication
1993
Pages
1535 - 1552
Database
ISI
SICI code
0305-4470(1993)26:7<1535:EOSTOA>2.0.ZU;2-5
Abstract
We describe a new algebraic technique, utilizing transfer matrices, fo r enumerating self-avoiding lattice trails on the square lattice. We h ave enumerated trails to 31 steps, and find increased evidence that tr ails are in the self-avoiding walk universality class. Assuming that t rails behave like Alambda(n)n11/32, we find lambda = 2.720 62 +/- 0.00 0 006 and A = 1.272 +/- 0.002.