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The interface tension of the three-dimensional Ising model in the scaling region

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  • Hasenbusch, M.
  • Pinn, K.

Abstract

Using the Monte Carlo method, we determine the free energy of the interface of the 3D Ising model in the scaling region. By integrating the interface energies over the inverse temperature β, we obtain estimates for the free energies of interfaces with cross sections up to 96 × 96, and for a range 0.223⩽β⩽0.23. Our data yield a precise estimation of the interface tensions σ. We determine the amplitude σ0 in the critical law σ ∼ σ0tμ and estimate the combination σξ2 which yields the universal constant R_ in the critical limit.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:245:y:1997:i:3:p:366-378
    DOI: 10.1016/S0378-4371(97)00314-2
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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.
    2. Thomas H. Snitch & Thomas M. Stauffer, 1983. "International Dimensions Of Policy Studies," Review of Policy Research, Policy Studies Organization, vol. 2(4), pages 822-827, May.
    3. Provero, Paolo & Vinti, Stefano, 1994. "Capillary wave approach to order-order fluid interfaces in the 3D three-state Potts model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 211(4), pages 436-448.
    4. Mainzer, T. & Woermann, D., 1996. "Temperature dependence of liquid-liquid interfacial tension and universal critical amplitude ratio: an experimental study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 225(3), pages 312-322.
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