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Interacting steps with finite-range interactions: analytical approximation and numerical results
Diego Felipe Jaramillo1, Gabriel Téllez, Diego Luis González
1Departamento de Física, Universidad de Los Andes, A.A. 4976 Bogotá, Colombia. df.jaramillo326@uniandes.edu.co
Abstract:
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.
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