Post-deposition island growth with long-range interactions

Oana Tataru, Fereydoon Family and Jacques G Amar

Physica A: Statistical Mechanics and its Applications, 1999, vol. 273, issue 3, 231-240

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.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:273:y:1999:i:3:p:231-240

DOI: 10.1016/S0378-4371(99)00276-9

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