Anisotropy of the interface tension of the three-dimensional Ising model

Abstract

We determine the interface tension for the 100, 110 and 111 interface of the simple cubic Ising model with nearest-neighbour interaction using novel simulation methods. To overcome the droplet/strip transition and the droplet nucleation barrier we use a newly developed combination of the multimagnetic algorithm with the parallel tempering method. We investigate a large range of inverse temperatures to study the anisotropy of the interface tension in detail.

arXiv comment19 pages, 9 figures, 6 tables

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• Re-examining the directional-ordering transition in the compass model with screw-periodic boundary conditions
• Jarzynski's theorem for lattice gauge theory
• Determination of the origin and magnitude of logarithmic finite-size effects on interfacial tension: Role of interfacial fluctuations and domain breathing
• Tricriticality and finite-size scaling in the triangular Blume-Capel ferromagnet
• Anisotropic interfacial tension, contact angles, and line tensions: A graphics-processing-unit-based Monte Carlo study of the Ising model
• A density functional for the lattice gas from fundamental measure theory
• Two-dimensional dilute Baxter-Wu model: Transition order and universality
• Droplet condensation in the lattice gas with density functional theory
• First-order directional ordering transition in the three-dimensional compass model
• On the weak scaling of the contact distance between two fluctuating interfaces with system size
• The Droplet Formation-Dissolution Transition in Different Ensembles: Finite-Size Scaling from Two Perspectives
• Universality in the two-dimensional dilute Baxter-Wu model