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• W2019089780 abstract "Crystal growth at the molecular level can be described by a Markov process in which states are configurations of the crystal surface and transitions are molecular captures. A surface with a terrace-step-kink structure is considered; it is continuous along steps but discrete across steps, in accordance with the very different rates for the two types of captures. Stationary distributions, found recently, are used to obtain exact expressions for growth rate, kink nucleation rate, kink lifetime and other surface characteristics. These are expressed in terms of the dimensions and slopes of the surface and the rates of transitions. The results are calculated via a transfer matrix method. The distribution of kinks has a major influence on growth behaviour in ways that can be exactly quantified. (i) On an (l, m, 0) surface, growth is strongly influenced by the number of kinks and hence by the length of the terraces. This appears to contribute to the size dependence and dispersion in the observed growth rate of small crystals. (ii) A surface which also has even the slightest slope in the 3 direction can grow much faster than a unidirectionally sloping (l, m, 0) surface; growth is driven by the excess of kinks in the 3 direction. Surfaces comprise distinct strips or facets, which have the characteristics of physical phases. The edge separating two facets is a two-phase interface, and a first-order phase transition occurs as the edge is crossed. The phase transitions persist for all values of the microscopic rates, i.e. there are no critical points." @default.
• W2019089780 created "2016-06-24" @default.
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• W2019089780 date "1997-09-01" @default.
• W2019089780 modified "2023-10-07" @default.
• W2019089780 title "Surface angle transitions and facets in a solvable TSK model of steady crystal growth" @default.
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• W2019089780 doi "https://doi.org/10.1016/s0022-0248(97)00200-5" @default.
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