Transfer matrix test of the two-cell mean-field renormalization group

A transfer matrix approach has been worked out to test the predictions of the two-cell mean-field renormalization group (MFRG) for the square Ising cells with linear size up to L⩽11. The convergence of the finite-size critical couplings towards the exact value both for MFRG and for the cluster MFA is shown and the limit of the ratio yh/yt consistent with the corresponding universal value is found. Applications within MFA are also briefly discussed.

MoreLess

Year of publication:	1998
Authors:	Kamieniarz, G.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 256.1998, 1, p. 211-216
Publisher:	Elsevier
Subject:	Mean-field renormalization group \| Transfer-matrix technique \| Ising model \| Critical couplings and exponents

More details

Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011059638