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Convergence and extrapolation in finite-size scaling renormalization

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  • Privman, V.

Abstract

Finite size renormalization technique is studied by examining a test model, which is exactly solvable, and the problem of lattice animals and self-avoiding walks. Bulk estimates of the leading irrelevant RG eigenvalue are found and compared with independent estimates from finite-size data. We introduce an extrapolation technique which is applicable to non-monotonic sequences of exponent approximants.

Suggested Citation

  • Privman, V., 1984. "Convergence and extrapolation in finite-size scaling renormalization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 123(2), pages 428-442.
    • Handle: RePEc:eee:phsmap:v:123:y:1984:i:2:p:428-442
    DOI: 10.1016/0378-4371(84)90164-X
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    References listed on IDEAS

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    1. Blöte, H.W.J & Nightingale, M.P, 1982. "Critical behaviour of the two-dimensional Potts model with a continuous number of states; A finite size scaling analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 112(3), pages 405-465.
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