THE NONINTERACTING HARD-SQUARE LATTICE-GAS - ISING UNIVERSALITY

Citation
G. Kamieniarz et Hwj. Blote, THE NONINTERACTING HARD-SQUARE LATTICE-GAS - ISING UNIVERSALITY, Journal of physics. A, mathematical and general, 26(23), 1993, pp. 6679-6689
Citations number
18
Categorie Soggetti
Physics
ISSN journal
03054470
Volume
26
Issue
23
Year of publication
1993
Pages
6679 - 6689
Database
ISI
SICI code
0305-4470(1993)26:23<6679:TNHL-I>2.0.ZU;2-I
Abstract
The critical exponents of the non-interacting hard-square lattice gas model are determined by means of series analysis and finite-size scali ng. The series analysis leads to results for the exponents that arc co nsistent with the expected Ising universal values. A scaling analysis is performed on different types of numerical finite-size data obtained by means of the transfer-matrix method. The results support Ising uni versality- A procedure based on conformal invariance reproduces the kn own Ising temperature and magnetic exponents within 10(-6). Furthermor e we estimate the critical density of the hard-square model as rho(c) = 0.367 743 000 (5).