CRITICAL ISING LINES OF THE D=2 ASHKIN-TELLER MODEL

Citation
G. Kamieniarz et al., CRITICAL ISING LINES OF THE D=2 ASHKIN-TELLER MODEL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(3), 1997, pp. 3724-3726
Citations number
13
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
55
Issue
3
Year of publication
1997
Part
B
Pages
3724 - 3726
Database
ISI
SICI code
1063-651X(1997)55:3<3724:CILOTD>2.0.ZU;2-Y
Abstract
The universal critical point ratio Q is exploited to determine positio ns of the critical Ising transition lines on the phase diagram of the Ashkin-Teller model on the square lattice. A leading-order expansion o f the ratio Q in the presence of a nonvanishing thermal field is found from finite-size scaling and the corresponding expression is fitted b y the accurate perturbative transfer-matrix data calculations for the LXL square clusters with L less than or equal to 9.