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Monte Carlo study of the magnetization distribution in semi-infinite systems upon phase transitions

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Abstract

The dependence of magnetization on the distance to the surface in a semi-infinite Ising model with a flat free surface has been investigated. The behavior of the magnetization at different points of the phase diagram of the substance has been studied both near the lines of the second-order phase transitions and near the tricritical point. It has been shown that, at values of the exchange integral at the surface that exceed the exchange integrals in the bulk, a decrease in the magnetization with distance from the surface according to a power law is observed. If the exchange integral at the surface is lower than that in the bulk of the system, then the magnetization grows with distance from the surface of the system, also according to a power law.

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Correspondence to S. V. Belim.

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Original Russian Text © S.V. Belim, T.A. Koval’, 2014, published in Fizika Metallov i Metallovedenie, 2014, Vol. 115, No. 9, pp. 899–905.

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Belim, S.V., Koval’, T.A. Monte Carlo study of the magnetization distribution in semi-infinite systems upon phase transitions. Phys. Metals Metallogr. 115, 843–848 (2014). https://doi.org/10.1134/S0031918X14090026

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  • DOI: https://doi.org/10.1134/S0031918X14090026

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