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Finite-size calculations on the three-dimensional Ising model

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  • Blöte, H.W.J.
  • Kamieniarz, G.

Abstract

Recent numerical results for the critical behaviour of the three-dimensional Ising model, based on finite-size calculations, show significant discrepancies. We review possible sources of systematic deviations and strategies to avoid these or to track them down. We present some new finite-size results for the Binder cumulant, obtained by means of a perturbation expansion and by cluster Monte Carlo methods.

Suggested Citation

  • Blöte, H.W.J. & Kamieniarz, G., 1993. "Finite-size calculations on the three-dimensional Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 196(3), pages 455-460.
    • Handle: RePEc:eee:phsmap:v:196:y:1993:i:3:p:455-460
    DOI: 10.1016/0378-4371(93)90208-L
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    References listed on IDEAS

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    1. Hoogland, A. & Compagner, A. & Blöte, H.W.J., 1985. "Smooth finite-size behaviour of the three-dimensional Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 132(2), pages 593-596.
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    Cited by:

    1. Pawlicki, P. & Kamieniarz, G. & Dȩbski, L., 1997. "Monte Carlo analysis of the extended Ashkin-Teller model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 242(1), pages 290-298.
    2. Yamagata, Atsushi, 1995. "Critical phenomena of the hard-sphere lattice gas on the simple cubic lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 222(1), pages 119-124.
    3. Heringa, J.R. & Blöte, H.W.J., 1996. "The simple-cubic lattice gas with nearest-neighbour exclusion: Ising universality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(1), pages 369-374.
    4. Ross Macdonald, J. & Ausloos, M., 1997. "Analysis of TbZn resistivity temperature derivative above the Curie point using singular fitting equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 242(1), pages 150-160.

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