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Thin Ising films with competing walls: A Monte Carlo study

机译:具有竞争壁垒的伊辛薄膜:蒙特卡洛研究

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摘要

Ising magnets with a nearest neighbor ferromagnetic exchange interaction J on a simple cubic lattice are studied in a thin film geometry using extensive Monte Carlo simulations. The system has two large L x L parallel free surfaces, a distance D apart from each other, at which competing surface fields act, i.e., HD=-H1. In this geometry, the phase transition occurring in the bulk at a temperature Tcb is suppressed, and instead one observes the gradual formation of an interface between coexisting phases stabilized by the surface fields. While this interface is located in the center of the film for temperatures Tc(D)0 (and the total magnetization is negative). As predicted, for large D this transition temperature Tc(D) is close to the wetting transition Tw(H1) of the semi-infinite system, but the transition nevertheless has a two-dimensional Ising character. Due to crossover problems (for D--> [infinity] the width of the asymptotic Ising region shrinks to zero, and one presumably observes critical wetting in this model) this Ising nature is clearly seen only for rather thin films. For Tc(D)
机译:使用广泛的蒙特卡洛模拟方法,研究了在简单立方晶格上具有最邻近铁磁交换相互作用J的伊辛磁体。该系统具有两个大的L x L平行自由表面,彼此之间的距离为D,竞争的表面场在该表面上起作用,即HD = -H1。在这种几何形状中,在温度Tcb下本体中发生的相变得到抑制,相反,人们观察到由表面场稳定的共存相之间的界面逐渐形成。当温度Tc(D) 0(总磁化强度为负)。如所预测的,对于大的D,该转变温度Tc(D)接近于半无限系统的润湿转变Tw(H1),但是该转变仍然具有二维伊辛特性。由于交叉问题(对于D-> [无穷大],渐近伊辛区的宽度缩小为零,并且在该模型中可能观察到临界润湿),这种伊辛性质仅在相当薄的薄膜上才能清楚看到。对于Tc(D)

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