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- W1990495838 abstract "A discrete atomistic solid-on-solid model is proposed to describe dissolution of a crystalline solid by a liquid. The model is based on the simple assumption that the probability per unit time of a unit cell being removed is proportional to its exposed area. Numerical simulations in one dimension demonstrate that the model has very good scaling properties. After removal of only about ${10}^{2}$ monolayers, independently of the substrate size, the etched surface shows almost time-independent short-range correlations and the receding surface presents the Family-Vicsek scaling behavior. The scaling parameters $ensuremath{alpha}=0.491ifmmodepmelsetextpmfi{}0.002$ and $ensuremath{beta}=0.330ifmmodepmelsetextpmfi{}0.001$ indicate that the system belongs to the Kardar-Parisi-Zhang universality class. The imposition of periodic boundary conditions on the simulations reduces the effective system size by a factor of $0.68$ without changing the exponents ensuremath{alpha} and ensuremath{beta}. Surprisingly, the periodic condition changes drastically the statistics of the surface height fluctuations and the short-range correlations. Without periodic conditions, that statistics is, up to 3 standard deviations, an asymmetric L'evy distribution with $ensuremath{mu}=1.82ifmmodepmelsetextpmfi{}0.01,$ and outside this region the statistics is Gaussian. With periodic conditions, that statistics is Gaussian, except for large negative fluctuations." @default.
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- W1990495838 date "2001-03-28" @default.
- W1990495838 modified "2023-10-13" @default.
- W1990495838 title "Discrete atomistic model to simulate etching of a crystalline solid" @default.
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- W1990495838 doi "https://doi.org/10.1103/physreve.63.041113" @default.
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