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Block spin techniques applied to the ising model

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Zeitschrift für Physik C Particles and Fields

Abstract

A detailed study of the critical behaviour of the Ising model in 1+1 and 2+1 dimensions is made using an approximate real space renormalization transformation which involves block spins. The critical indices α, β, η, and ν are calculated and compared with previous results, as is the critical couplingy c. The method is shown to respect one of the scaling relations, and in 1+1D some exact results are reproduced (y c=1, ν=1).

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Authors and Affiliations

  1. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, CB3 9EW, Cambridge, UK

    S. Duane & R. R. Horgan

  2. DPh-T, CEN Saclay, F-91191, Gif-sur-Yvette Cedex, France

    D. M. Scott

Authors
  1. S. Duane
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  2. R. R. Horgan
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  3. D. M. Scott
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Duane, S., Horgan, R.R. & Scott, D.M. Block spin techniques applied to the ising model. Z. Phys. C - Particles and Fields 16, 355–359 (1983). https://doi.org/10.1007/BF01577106

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  • DOI: https://doi.org/10.1007/BF01577106

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