WETTING TRANSITIONS NEAR THE BULK CRITICAL-POINT - MONTE-CARLO SIMULATIONS FOR THE ISING-MODEL

WETTING TRANSITIONS NEAR THE BULK CRITICAL-POINT - MONTE-CARLO SIMULATIONS FOR THE ISING-MODEL
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DOI:
10.1103/physrevb.40.6971
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发表时间:
1989-10-01
期刊:
影响因子:
3.7
通讯作者:
WANSLEBEN, S
WANSLEBEN, S
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
BINDER, K;LANDAU, DP;WANSLEBEN, S

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临界,三临界,和一阶润湿过渡附近的一个简单的立方最近邻伊辛模型的大量临界点进行了广泛的Monte Carlo模拟研究。该模型在体中应用交换J,在表面平面中应用交换Js,其中表面场H1除了可能的体场H之外还起作用。使用薄膜几何形状L× L× D的晶格,具有两个自由的L× L表面(L高达256),薄膜厚度D高达160,应用非常快速的完全矢量化多自旋编码程序。我们的研究结果提出了第一个定量证据的缩放理论由于Nakanishi和Fisher,它连接润湿行为和表面临界行为。特别地,我们证明了三临界润湿线(Jst/J)合并到表面-体多临界点,其临界场为H1 t <$(1-T/Tc)Δ 1 m,而临界润湿的临界场为H1 c,Δ 1(Δ 1 m)为普通(或表面-体多临界)转变处表面层磁化的“间隙”指数.该模型中临界润湿的平均场特征再次得到证实。
Critical, tricritical, and first-order wetting transitions are studied near the bulk critical point of a simple cubic nearest-neighbor Ising model by extensive Monte Carlo simulations. The model applies an exchange J in the bulk and exchange J s in the surface planes, where surface fields H 1 also act in addition to a possible bulk field H. Lattices in a thin-film geometry L× L× D are used, with two free L× L surfaces (with L up to 256) and film thickness D up to 160, applying a very fast fully vectorizing multispin coding program. Our results present the first quantitative evidence for the scaling theory due to Nakanishi and Fisher, which links wetting behavior and surface critical behavior. In particular, we show that the tricritical wetting line (J s t/J) merges into the surface-bulk multicritical point with associated critical field H 1 t∼(1-T/T c) Δ 1 m, while the critical field for critical wetting H 1 c vanishes as &, where Δ 1 (Δ 1 m) are the ‘‘gap’’exponents for the surface-layer magnetization at the ordinary (or surface-bulk multicritical) transition. The mean-field character of critical wetting in this model is again confirmed.