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arXiv 1504.07425cond-mat.stat-mech
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正方晶格上Potts模型中的界面吸附

Interfacial adsorption in Potts models on the square lattice

N. G. Fytas, A. Malakis, W. Selke, L. N. Shchur

摘要:

我们主要利用Monte Carlo方法研究了二维完美和随机(或无序)$q$-态Potts模型中界面现象对连续相变的影响。特别地,对于总界面吸附,分析了临界行为,包括对结垢的校正。随机性的作用被仔细研究。结果进行了讨论,应用缩放参数和调用批量关键属性的调查结果。在所有研究的情况下,即,$q = 3$、$4$和$q = 8$,观察到界面吸附分布的扩展随着本体转变点处的晶格尺寸线性增加。

英文摘要:

We study the effect of interfacial phenomena in two-dimensional perfect and random (or disordered) $q$-state Potts models with continuous phase transitions, using, mainly, Monte Carlo techniques. In particular, for the total interfacial adsorption, the critical behavior, including corrections to scaling, are analyzed. The role of randomness is scrutinized. Results are discussed applying scaling arguments and invoking findings for bulk critical properties. In all studied cases, i.e., $q = 3$, $4$, and $q = 8$, the spread of the interfacial adsorption profiles is observed to increase linearly with the lattice size at the bulk transition point.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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