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Surface tension and universality in the Ising model

Author

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  • Gausterer, H.
  • Potvin, J.
  • Rebbi, C.
  • Sanielevici, S.

Abstract

We report on a new numerical computation of the surface tension between domains of opposite magnetisation in the Ising model in two and three dimensions. The method is quite general and can be applied to any statistical-mechanics model. It is based on a partition of the lattice into two halves, which are slowly driven from one magnetization state to the other. The free energy of the interface is the result of the difference between the total free energies of the homogeneous and of the mixed phases. We first test the method in the two-dimensional (ferromagnetic) Ising model by comparing with the Onsager solution. We then compare the results in three dimensions with previous Monte Carlo simulations of thermal equilibrium and of decays via nucleation. The three-dimensional results are also used in the computation of the universal amplitude combination that involves the correlation length and the surface tension. Near the critical temperature, the numerical results agree well with measurements performed in the laboratory.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:192:y:1993:i:3:p:525-539
    DOI: 10.1016/0378-4371(93)90052-6
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    Cited by:

    1. 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.
    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.
    3. 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.

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