Jaramillo Diego Felipe, Téllez Gabriel, González Diego Luis, Einstein T L
Departamento de Física, Universidad de Los Andes, A.A. 4976 Bogotá, Colombia.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 May;87(5):052405. doi: 10.1103/PhysRevE.87.052405. Epub 2013 May 24.
We calculate an analytical expression for the terrace-width distribution P(s) for an interacting step system with nearest- and next-nearest-neighbor interactions. Our model is derived by mapping the step system onto a statistically equivalent one-dimensional system of classical particles. The validity of the model is tested with several numerical simulations and experimental results. We explore the effect of the range of interactions q on the functional form of the terrace-width distribution and pair correlation functions. For physically plausible interactions, we find modest changes when next-nearest neighbor interactions are included and generally negligible changes when more distant interactions are allowed. We discuss methods for extracting from simulated experimental data the characteristic scale-setting terms in assumed potential forms.
我们计算了具有最近邻和次近邻相互作用的相互作用台阶系统的平台宽度分布P(s)的解析表达式。我们的模型是通过将台阶系统映射到一个统计等效的一维经典粒子系统而推导出来的。该模型的有效性通过几个数值模拟和实验结果进行了检验。我们探讨了相互作用范围q对平台宽度分布和对关联函数功能形式的影响。对于物理上合理的相互作用，我们发现当包含次近邻相互作用时变化不大，而当允许更远距离的相互作用时变化通常可忽略不计。我们讨论了从模拟实验数据中提取假设势形式中的特征尺度设定项的方法。
