WETTING AND LAYERING IN THE NEAREST-NEIGHBOR SIMPLE-CUBIC ISING LATTICE - A MONTE-CARLO INVESTIGATION
WETTING AND LAYERING IN THE NEAREST-NEIGHBOR SIMPLE-CUBIC ISING LATTICE - A MONTE-CARLO INVESTIGATION
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DOI：
10.1103/physrevb.37.1745
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发表时间：
1988-02-01
影响因子：
3.7
通讯作者：
LANDAU, DP
中科院分区：
文献类型：
--
作者：
BINDER, K;LANDAU, DP
通过应用合适的体场和表面场 H 和 H 1，在简单立方最近邻 Ising 模型中研究临界、三临界和一阶润湿转变，在体中交换 J，在表面平面中交换 J s。在 D= 40 层和两个自由 L× L 表面的薄膜几何结构中，对大小为 L× L× D 的系统进行蒙特卡洛计算，L 范围从 L= 10 到 L= 50。此外，证据提出了预润湿转变和分层转变（后者发生在温度 T 低于粗糙化温度 T R 时）。我们研究表面层的磁化强度 m 1、磁化率 χ 11=∂ m 1/∂ H 1 和 χ 1=∂ m 1/∂ H、表面过剩磁化强度 m s 和能量 U s，以及磁化强度和能量分布 [m (z) 和 U (z)] 作为距表面距离 z 的函数。我们将我们的结果与各种理论预测进行比较；特别是，我们的临界润湿结果与简单平均场行为一致，没有观察到由各种重正化组处理预测的不同奇异行为。我们还分析了模型全表面相图的定性结构。
Critical, tricritical, and first-order wetting transitions are studied in a simple-cubic nearest-neighbor Ising model, with exchange J in the bulk and exchange J s in the surface planes, by applying suitable bulk and surface fields H and H 1. Monte Carlo calculations are presented for systems of size L× L× D, in a thin film geometry with D= 40 layers and two free L× L surfaces, with L ranging from L= 10 to L= 50. In addition, evidence for prewetting transitions and for layering transitions (the latter occur for temperatures T less than the roughening temperature T R) is presented. We study the magnetization m 1 in the surface layer, susceptibilities χ 11=∂ m 1/∂ H 1 and χ 1=∂ m 1/∂ H, surface excess magnetization m s and energy U s, as well as magnetization and energy profiles [m (z) and U (z)] as a function of the distance z from the surface. We compare our results to various theoretical predictions; in particular, our results for critical wetting are consistent with simple mean-field behavior, the different singular behavior predicted by various renormalization-group treatments is not observed. We also analyze the qualitative structure of the full surface phase diagram of the model.