Interacting steps with finite-range interactions: analytical approximation and numerical results.

Phys Rev E Stat Nonlin Soft Matter Phys

Departamento de Física, Universidad de Los Andes, A.A. 4976 Bogotá, Colombia.

Published: May 2013

AI Article Synopsis

  • Developed an analytical expression for terrace-width distribution P(s) in a system with nearest- and next-nearest-neighbor interactions by modeling it as a one-dimensional particle system.
  • Validated the model through numerical simulations and real experimental results, examining how interaction range affects the terrace-width distribution and pair correlation functions.
  • Found that including next-nearest-neighbor interactions caused only modest changes, while more distant interactions had negligible effects, and discussed techniques to extract key parameters from simulated experimental data.

Article 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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Source
http://dx.doi.org/10.1103/PhysRevE.87.052405DOI Listing

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