Growth instability of quasi two-dimensional crystals

Ken Sekimoto

Physica A: Statistical Mechanics and its Applications, 1994, vol. 204, issue 1, 616-624

Abstract: Two-dimensional crystal growth in a three-dimensional diffusion field of super-saturated vapor is studied theoretically. Both surface kinetics and diffusion are taken into account near the growing edge of the crystal. A conformal mapping technique is employed for solving the diffusion field near the edge, and a matched asymptotic expansion is used to study global growth dynamics. Our model shows that by a mechanism like the Mullins-Sekerka instability, perturbation of the edge shape grows in time t only like ∝(ln t)k, k > 0.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:204:y:1994:i:1:p:616-624

DOI: 10.1016/0378-4371(94)90450-2

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