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- W1983155407 abstract "Using a set of approximate evolution equations [J. G. Amar et al., Phys. Rev. Lett. 86, 3092 (2001)] for the average gap size between islands, we calculate analytically the asymptotic scaled capture-number distribution (CND) for one-dimensional irreversible submonolayer growth of point islands. The predicted asymptotic CND is in reasonably good agreement with kinetic Monte Carlo (KMC) results, and leads to a nondivergent asymptotic scaled island size distribution (ISD). We then show that a slight modification of our analytic form leads to analytical expressions for the asymptotic CND and a resulting asymptotic ISD which are in excellent agreement with KMC simulations. We also show that in the asymptotic limit the scaled average gap distribution is identical to the scaled CND and thus demonstrate that in this limit, the self-averaging property of the capture zones holds exactly." @default.
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- W1983155407 date "2004-01-06" @default.
- W1983155407 modified "2023-10-18" @default.
- W1983155407 title "Asymptotic capture number and island size distributions for one-dimensional irreversible submonolayer growth" @default.
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- W1983155407 doi "https://doi.org/10.1103/physrevb.69.033401" @default.
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