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arXiv · 1906.02853

Wetting transition in the McCoy-Wu model

Xintian Wu
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Abstract

The wetting transition is studied in the McCoy-Wu Ising model in which the random bonds are perfectly correlated in the direction parallel to the walls . The model is solved numerically on finite size lattices up to $200 \times 200^2$. It is shown that the wetting transition is first-order. For a fixed surface field, the distribution of wetting transition temperature is obtained from $1000$ samples. The results show that the deviation of the wetting transition temperature does not decreases as the lattice size increases. It is shown that for a fixed surface field the wetting transition temperature is sample dependent even in the thermodynamic limit.

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Xintian Wu. 2020-02-05. Wetting transition in the McCoy-Wu model. https://doi.org/10.1016/j.aop.2020.168166

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