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- W2011599357 abstract "We have studied the interface-width scaling behavior of deposition models in which limited downward mobility is introduced. In all the models studied here, there is a maximum allowed slope for the interface at which the growth velocity is zero. The Kardar-Parisi-Zhang equation is resummed in order to show explicitly this slope constraint, but still incorporates parameters ensuremath{lambda} measuring the slope dependence of the growth velocity, ensuremath{nu} measuring the surface tension, and D measuring the noise amplitude. Increasing mobility naturally smooths the interface, and is associated with a decrease in the magnitude of ${ensuremath{lambda}}_{mathrm{eff}}$=ensuremath{lambda}${mathit{D}}^{1/2}$/${ensuremath{nu}}^{3/2}$. A detailed study of a bridge-site deposition model, with one hop of probability p, shows that ensuremath{Vert}ensuremath{lambda}ensuremath{Vert} increases with p. From an independent assessment of noise-amplitude behavior, we can conclude that ensuremath{nu} must also increase with p to ensure the required ${ensuremath{lambda}}_{mathrm{eff}}$ behavior. Direct determination of ensuremath{nu} via the Wolf-Tang procedure of imposing inhomogeneity on some length scale L supports this conclusion. (However ensuremath{nu} depends on the inhomogeneity strength, which should be chosen small, and on L.) We comment on anticipated behavior of similar limited-mobility models in densuremath{ge}2 dimensions, and compare with behavior of limited-mobility ballistic deposition and noise-reduced deposition models." @default.
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- W2011599357 date "1991-08-01" @default.
- W2011599357 modified "2023-09-25" @default.
- W2011599357 title "Scaling behavior of deposition models with limited downward mobility" @default.
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- W2011599357 doi "https://doi.org/10.1103/physreva.44.2335" @default.
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