The Interface Tension of the 3-Dimensional Ising Model in the Scaling Region

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 $\beta$, we obtain estimates for the free energies of interfaces with cross sections up to 96 by 96, and for a range $0.223\le \beta \le 0.23$. Our data yield a precise estimation of the interface tensions $\sigma$. We determine the amplitude ${\sigma }_0$ in the critical law $\sigma \sim {\sigma }_0{t}^{\mu }$ and estimate the combination $\sigma {\xi }^2$ which yields the universal constant $R_{-}$ in the critical limit.

LaTex, 13 pages, no figures

References in corpus (4)

• The Magnetization of the 3D Ising Model
• Computing the Roughening Transition of Ising and Solid-On-Solid Models by BCSOS Model Matching
• Deconfinement transition and dimensional cross-over in the 3D gauge Ising model
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• String effects in Polyakov loop correlators
• The interface free energy: Comparison of accurate Monte Carlo results for the 3D Ising model with effective interface models
• The partition function of interfaces from the Nambu-Goto effective string theory
• Profile and width of rough interfaces
• Finite-size scaling of interface free energies in the 3d Ising model
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• String effects in Polyakov loop correlators
• The Interface Tension of the Three-dimensional Ising Model in Two-loop Order
• 't Hooft loops and consistent order parameters for confinement
• Surface tension and interfacial fluctuations in d-dimensional Ising model
• Correlations around an interface
• Applications of String Theory: Non-perturbative Effects in Flux Compactifications and Effective Description of Statistical Systems
• The interface tension in the improved Blume-Capel model