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Finite-size corrections for inclined interfaces in two dimensions: Exact results for Ising and solid-on-solid models

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Abstract

Analysis of finite-size corrections for the surface tension and surface stiffness coefficients in two-dimensional models with inclined interfaces is presented. We obtain a universal leading contribution proportional to (lnL)/L for the 2D system of sizeL. By explicit calculations for restricted and unrestricted solid-on-solid models and the square lattice Ising model, we demonstrate the Gaussian nature of rough interfaces with fixed ends, and derive the leading 1/L-type corrections for appropriate surface quantities.

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Svrakić, N.M., Privman, V. & Abraham, D.B. Finite-size corrections for inclined interfaces in two dimensions: Exact results for Ising and solid-on-solid models. J Stat Phys 53, 1041–1059 (1988). https://doi.org/10.1007/BF01023856

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  • DOI: https://doi.org/10.1007/BF01023856

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