Stochastic models of crystal growth in two dimensions
- 1 April 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 41 (8) , 4184-4194
- https://doi.org/10.1103/physreva.41.4184
Abstract
A number of stochastic models of two-dimensional crystal growth or evaporation are considered. They are based on the terrace-ledge-kink picture of a crystal surface and are restricted to the growth of a crystal with rectangular symmetry from a gas or dilute solution at close to equilibrium conditions. One of the cases leads to a growth equation for the interface that can be transformed to Burgers’s equation, allowing an exact analysis of the basic growth properties.Keywords
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