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• W1546883893 endingPage "2641" @default.
• W1546883893 startingPage "2633" @default.
• W1546883893 abstract "We present numerical Monte Carlo results for the stationary-state properties of KPZ-type growth in two-dimensional surfaces, by evaluating the finite size scaling (FSS) behavior of the second and fourth moments ${W}_{2}$ and ${W}_{4}$ and the skewness ${W}_{3}$ in the Kim-Kosterlitz (KK) and body-centered solid-on-solid (BCSOS) models. Our results agree with the stationary state proposed by Lassig. The roughness exponents ${W}_{n}ensuremath{sim}{L}^{{ensuremath{alpha}}_{n}}$ obey power counting ${ensuremath{alpha}}_{n}=nensuremath{alpha},$ and the amplitude ratios of the moments are universal. They have the same values in both models: ${W}_{3}{/W}_{2}^{1.5}=ensuremath{-}0.27(1)$ and ${W}_{4}{/W}_{2}^{2}=+3.15(2).$ Unlike in one dimension, the stationary-state skewness is not tunable, but a universal property of the stationary-state distribution. The FSS corrections to scaling in the KK model are weak and $ensuremath{alpha}$ converges well to the Kim-Kosterlitz-Lassig value $ensuremath{alpha}=frac{2}{5}.$ The FSS corrections to scaling in the BCSOS model are strong. Naive extrapolations yield a smaller value $ensuremath{alpha}ensuremath{simeq}0.38(1),$ but are still consistent with $ensuremath{alpha}=frac{2}{5}$ if the leading irrelevant corrections to the FSS scaling exponent are of order ${y}_{mathrm{ir}}ensuremath{simeq}ensuremath{-}0.6(2).$" @default.
• W1546883893 created "2016-06-24" @default.
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• W1546883893 date "1999-03-01" @default.
• W1546883893 modified "2023-10-16" @default.
• W1546883893 title "Stationary-state skewness in two-dimensional Kardar-Parisi-Zhang type growth" @default.
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• W1546883893 doi "https://doi.org/10.1103/physreve.59.2633" @default.
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