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

G. Kamieniarz

Physica A: Statistical Mechanics and its Applications, 1998, vol. 256, issue 1, 211-216

Abstract: 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.

Keywords: Mean-field renormalization group; Transfer-matrix technique; Ising model; Critical couplings and exponents (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:256:y:1998:i:1:p:211-216

DOI: 10.1016/S0378-4371(98)00204-0

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