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Post-deposition island growth with long-range interactions

Author

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  • Tataru, Oana
  • Family, Fereydoon
  • Amar, Jacques G

Abstract

The effects of long-range interactions on the scaling of the average island-size, island-size distribution, and saturation time are investigated for a simple model of post-deposition island growth. While long-range interactions are found to have little effect on the scaled island-size distribution, the average island-size is strongly affected. Excellent agreement is found with the proposed scaling form S(θ,t)=θzg(θtβ) for the average island size S(θ,t) at time t and coverage θ. The exponents z and β and the scaling function g(u) depend on the range and sign of the interaction. Long-range interactions are also found to strongly affect the saturation time as well as the exponent describing its dependence on coverage. This leads to a simple experimental method to detect the presence of long-range interactions.

Suggested Citation

  • Tataru, Oana & Family, Fereydoon & Amar, Jacques G, 1999. "Post-deposition island growth with long-range interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 273(3), pages 231-240.
    • Handle: RePEc:eee:phsmap:v:273:y:1999:i:3:p:231-240
    DOI: 10.1016/S0378-4371(99)00276-9
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