Fytas Nikolaos G, Theodorakis Panagiotis E, Malakis Anastasios
Applied Mathematics Research Centre, Coventry University, Coventry CV1 5FB, United Kingdom.
Institute of Physics, Polish Academy of Sciences, Al. Lotników 32/46, 02-668, Warsaw, Poland.
Phys Rev E. 2017 Mar;95(3-1):032126. doi: 10.1103/PhysRevE.95.032126. Epub 2017 Mar 15.
We use Monte Carlo simulations to study the finite-size scaling behavior of the interfacial adsorption of the two-dimensional square-lattice q-states Potts model. We consider the pure and random-bond versions of the Potts model for q=3,4,5,8, and 10, thus probing the interfacial properties at the originally continuous, weak, and strong first-order phase transitions. For the pure systems our results support the early scaling predictions for the size dependence of the interfacial adsorption at both first- and second-order phase transitions. For the disordered systems, the interfacial adsorption at the (disordered induced) continuous transitions is discussed, applying standard scaling arguments and invoking findings for bulk critical properties. The self-averaging properties of the interfacial adsorption are also analyzed by studying the infinite limit-size extrapolation of properly defined signal-to-noise ratios.
我们使用蒙特卡罗模拟来研究二维正方晶格q态Potts模型界面吸附的有限尺寸标度行为。对于q = 3、4、5、8和10，我们考虑Potts模型的纯态和随机键版本，从而探究在原本连续、弱和强一级相变时的界面性质。对于纯系统，我们的结果支持了关于一级和二级相变时界面吸附尺寸依赖性的早期标度预测。对于无序系统，我们应用标准标度论证并援引关于体临界性质的研究结果，讨论了（无序诱导的）连续相变时的界面吸附。还通过研究恰当定义的信噪比的无限极限尺寸外推，分析了界面吸附的自平均性质。
