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arXiv · 1305.5155

Interacting Steps With Finite-Range Interactions: Analytical Approximation and Numerical Results

Diego Felipe Jaramillo·Gabriel Téllez·Diego Luis González·T. L. Einstein
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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 1D 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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Diego Felipe Jaramillo, Gabriel Téllez, Diego Luis González, T. L. Einstein. 2013-05-22. Interacting Steps With Finite-Range Interactions: Analytical Approximation and Numerical Results. https://doi.org/10.1103/physreve.87.052405

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