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• W2015684598 abstract "We study a minimal stochastic model of step bunching during growth on a one-dimensional vicinal surface. The formation of bunches is controlled by the preferential attachment of atoms to descending steps (inverse Ehrlich-Schwoebel effect) and the ratio $d$ of the attachment rate to the terrace diffusion coefficient. For generic parameters $(d>0)$ the model exhibits a very slow crossover to a nontrivial asymptotic coarsening exponent $ensuremath{beta}ensuremath{simeq}0.38$. In the limit of infinitely fast terrace diffusion $(d=0)$ linear coarsening $(ensuremath{beta}=1)$ is observed instead. The different coarsening behaviors are related to the fact that bunches attain a finite speed in the limit of large size when $d=0$, whereas the speed vanishes with increasing size when $d>0$. For $d=0$ an analytic description of the speed and profile of stationary bunches is developed, and a connection to the problem of front propagation into an unstable state is pointed out." @default.
• W2015684598 created "2016-06-24" @default.
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• W2015684598 date "2005-04-11" @default.
• W2015684598 modified "2023-09-23" @default.
• W2015684598 title "Kinetics of step bunching during growth: A minimal model" @default.
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• W2015684598 doi "https://doi.org/10.1103/physreve.71.041605" @default.
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