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

Martin Hasenbusch and Klaus Pinn

Physica A: Statistical Mechanics and its Applications, 1993, vol. 192, issue 3, 342-374

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.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:192:y:1993:i:3:p:342-374

DOI: 10.1016/0378-4371(93)90043-4

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