标题： 具有淬火表面无序的正方晶格伊辛模型 显示英文标题

标题： The square lattice Ising model with quenched surface disorder

摘要： 通过精确枚举，在临界状态下，计算了具有淬火表面无序的圆柱几何结构的二维正方晶格伊辛模型的卡西米尔幅度和卡西米尔力。 系统的形状由纵横比$\rho=L/M$表征，其中圆柱长度$L$可以取任意值，而周长$M$从$M=4$变化到$M=54$，从而最多进行$2^{54}$次数值精确的自由能计算。 仔细的$M\to\infty$外推表明，二维情况下淬火表面无序是无关的，但会导致对数修正。 显示英文摘要

摘要： Using exact enumeration, the Casimir amplitude and the Casimir force are calculated for the square lattice Ising model with quenched surface disorder on one surface in cylinder geometry at criticality. The system shape is characterized by the aspect ratio $\rho=L/M$, where the cylinder length $L$ can take arbitrary values, while the circumference $M$ is varied from $M=4$ to $M=54$, resulting in up to $2^{54}$ numerically exact free energy calculations. A careful $M\to\infty$ extrapolation shows that quenched surface disorder is irrelevant in two dimensions, but gives rise to logarithmic corrections.