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Phenomenological renormalization of multi-parameter systems

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  • Barber, Michael N.

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.

Suggested Citation

  • Barber, Michael N., 1985. "Phenomenological renormalization of multi-parameter systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 130(1), pages 171-193.
    • Handle: RePEc:eee:phsmap:v:130:y:1985:i:1:p:171-193
    DOI: 10.1016/0378-4371(85)90103-7
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    References listed on IDEAS

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    1. Frøyen, S. & Sudbø, Aa.S. & Hemmer, P.C., 1976. "Ising models with two- and three-spin interactions: Mean field equation of state," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 85(2), pages 399-408.
    2. Schick, GJ & Stroup, JW, 1981. "Experience with a multi-year fleet planning model," Omega, Elsevier, vol. 9(4), pages 389-396.
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