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Surface tension, surface stiffness, and surface width of the 3-dimensional Ising model on a cubic lattice

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  • Hasenbusch, Martin
  • Pinn, Klaus

Abstract

We compute properties of the interface of the 3-dimensional Ising model for a wide range of temperatures, covering the whole region from the low temperature domain through the roughening transition to the bulk critical point. The interface tension σ is obtained by integrating the surface energy density over the inverse temperature β. We use lattices of size L × L × T, with L up to 64, and T up to 27. The simulations with antiperiodic boundary conditions in T-direction are done with the Hasenbusch-Meyer interface cluster algorithm, which turns out to be very efficient. We demonstrate that in the rough phase the large distance behavior of the interface is well described by a massless Gaussian dynamics. The surface stiffness coefficient ϰ is determined. We also attempt to determine the correlation length ξ and study universal quantities like ξ2σ and ξ2ϰ. Results for the interfacial width on lattices up to 512 × 512 × 27 are also presented.

Suggested Citation

  • Hasenbusch, Martin & Pinn, Klaus, 1993. "Surface tension, surface stiffness, and surface width of the 3-dimensional Ising model on a cubic lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 192(3), pages 342-374.
    • Handle: RePEc:eee:phsmap:v:192:y:1993:i:3:p:342-374
    DOI: 10.1016/0378-4371(93)90043-4
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    1. 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.
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