Phenomenological renormalization of multi-parameter systems

Michael N. Barber

Physica A: Statistical Mechanics and its Applications, 1985, vol. 130, issue 1, 171-193

Abstract: Two methods of estimating linear scaling fields and related exponents from finite-lattice data for multi-parameter Systems are discussed. The methods are analysed in detail for the anisotropic Ising model on a n X ∞ strip using the exact expressions for the dominant eigenvalues of the transfer matrix. Numerical results for the Baxter-Wu model in its symmetry-broken subspace and for the eight-vertex model are also presented. In all cases, excellent agreement with all exact or conjectured results are obtained.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:130:y:1985:i:1:p:171-193

DOI: 10.1016/0378-4371(85)90103-7

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