UNIVERSAL AMPLITUDE RATIOS FOR SELF-AVOIDING WALKS ON THE KAGOME LATTICE

Authors
Citation
Ky. Lin et Jx. Huang, UNIVERSAL AMPLITUDE RATIOS FOR SELF-AVOIDING WALKS ON THE KAGOME LATTICE, Journal of physics. A, mathematical and general, 28(13), 1995, pp. 3641-3643
Citations number
9
Categorie Soggetti
Physics
ISSN journal
03054470
Volume
28
Issue
13
Year of publication
1995
Pages
3641 - 3643
Database
ISI
SICI code
0305-4470(1995)28:13<3641:UARFSW>2.0.ZU;2-C
Abstract
We have calculated exactly the number, the mean-square end-to-end dist ance, the mean-square radius of gyration, and the mean-square distance of a monomer from the origin, for n-step self-avoiding walks on the k agome lattice up to 30 steps. We have estimated the connective constan t and the critical amplitudes. Our numerical results are consistent wi th the theoretical prediction by Cardy and Saleur on the universality for certain amplitude ratios.