arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1906.02853cond-mat.stat-mech
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McCoy-Wu模型中的润湿转变

Wetting transition in the McCoy-Wu model

Xintian Wu

摘要:

润湿过渡的McCoy-Wu伊辛模型中的随机键是完全相关的平行于墙壁的方向进行了研究。该模型的数值求解有限尺寸的格子高达$200 \times 200^2$。结果表明,润湿转变是一阶的。对于固定的表面场,从$1000$样品中得到了润湿转变温度的分布。结果表明,润湿转变温度的偏差并不随晶格尺寸的增大而减小。结果表明,对于一个固定的表面场的润湿转变温度是样品依赖的,即使在热力学极限。

英文摘要:

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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