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- W2000717222 endingPage "2594" @default.
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- W2000717222 abstract "Motivated by the physics of molecular-beam epitaxial (MBE) growth, we present a detailed numerical study of the dynamic scaling behavior of two atomistic solid-on-solid kinetic growth models in (1+1) dimensions in the presence of surface diffusion under a strong chemical bonding environment. Our goal is to relate stochastic molecular-beam epitaxial growth models with the existing statistical-mechanical-driven dynamical growth models. In the first model, which is the usual stochastic MBE growth model, diffusion of surface atoms follows an Arrhenius activation behavior. The effective growth exponents ${mathrm{ensuremath{alpha}}}_{mathit{e}mathit{f}mathit{f}}$ and ${mathrm{ensuremath{beta}}}_{mathit{e}mathit{f}mathit{f}}$, calculated as functions of the temperature, show a crossover from random deposition (ensuremath{beta}=0.5) to ensuremath{beta}ensuremath{approxeq}0.375 and ensuremath{alpha}ensuremath{approxeq}1.5 at intermediate temperatures, and then to ensuremath{beta}ensuremath{approxeq}0 and ensuremath{alpha}ensuremath{approxeq}0 at high temperatures. In the second model, which is a manifestly nonequilibrium dynamical model, newly arrived atoms instantaneously migrate to the nearest kink sites, with probability ${mathit{p}}_{1}$, and within a diffusion length l. After finding a kink site they are allowed to break two bonds and make a nearest-neighbor hop with probability ${mathit{p}}_{2}$. Here we see a behavior qualitatively similar to that in the first model, but, additionally, for ${mathit{p}}_{2}$ensuremath{ne}0, a crossover to the Edwards-Wilkinson universality is observed. Surface morphologies produced by these models are presented with a detailed discussion of the scaling exponents, finite-size effects, and conditions for smooth growth." @default.
- W2000717222 created "2016-06-24" @default.
- W2000717222 creator A5060980314 @default.
- W2000717222 creator A5065829367 @default.
- W2000717222 date "1993-10-01" @default.
- W2000717222 modified "2023-09-23" @default.
- W2000717222 title "Surface-diffusion-driven kinetic growth on one-dimensional substrates" @default.
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- W2000717222 doi "https://doi.org/10.1103/physreve.48.2575" @default.
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