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Comparison of Monte Carlo results for the 3D Ising interface tension and interface energy with (extrapolated) series expansions

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  • Hasenbusch, M.
  • Pinn, K.

Abstract

We compare Monte Carlo results for the interface tension and interface energy of the 3-dimensional Ising model with Padé and inhomogeneous differential approximants of the low temperature series that was recently extended by Arisue to 17th order in u = exp(−4β). The series is expected to suffer from the roughening singularity at u ≈ 0.196. The comparison with the Monte Carlo data shows that the Padé and inhomogeneous differential approximants fail to improve the truncated series result of the interface tension and the interface energy in the region around the roughening transition. The Monte Carlo data show that the specific heat displays a peak in the smooth phase. Neither the truncated series nor the Padé approximants find this peak. We also compared Monte Carlo data for the energy of the ASOS model with the corresponding low temperatures series that we extended to order u12.

Suggested Citation

  • Hasenbusch, M. & Pinn, K., 1994. "Comparison of Monte Carlo results for the 3D Ising interface tension and interface energy with (extrapolated) series expansions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 203(2), pages 189-213.
    • Handle: RePEc:eee:phsmap:v:203:y:1994:i:2:p:189-213
    DOI: 10.1016/0378-4371(94)90152-X
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    References listed on IDEAS

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    1. Gausterer, H. & Potvin, J. & Rebbi, C. & Sanielevici, S., 1993. "Surface tension and universality in the Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 192(3), pages 525-539.
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    1. Hasenbusch, M. & Pinn, K., 1997. "The interface tension of the three-dimensional Ising model in the scaling region," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(3), pages 366-378.
    2. Ito, Nobuyasu, 1993. "Non-equilibrium relaxation and interface energy of the Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 196(4), pages 591-614.

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