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Correlation function in Ising models

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  • Ruge, C.
  • Zhu, P.
  • Wagner, F.

Abstract

We simulated the Fourier transform of the correlation function of the Ising model in two and three dimensions using a single cluster algorithm with improved estimators. The simulations are in agreement with series expansion and the available exact results in d = 2, which shows, that the cluster algorithm can successfully be applied for correlations. We show as a further result that our data do not support a hypothesis of Fisher that in any d = 2 lattice the Fourier transform of the correlation function depends on the lattice generating function only. In d = 3 our simulation are again in agreement with the results from the series expansion, except for the amplitudes f±, where we find f+f- = 2.06(1).

Suggested Citation

  • Ruge, C. & Zhu, P. & Wagner, F., 1994. "Correlation function in Ising models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 209(3), pages 431-443.
    • Handle: RePEc:eee:phsmap:v:209:y:1994:i:3:p:431-443
    DOI: 10.1016/0378-4371(94)90195-3
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