𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Modeling Crystal Growth in a Diffusion Field Using Fully Faceted Interfaces

✍ Scribed by Andrew R. Roosen; Jean E. Taylor


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
817 KB
Volume
114
Category
Article
ISSN
0021-9991

No coin nor oath required. For personal study only.

✦ Synopsis


We present a new computational model of crystal growth, in which the interface between liquid and solid is explicitly tracked, but the measurement of curvature is simplified through the assumption that the crystal is a polygon having a limited number of possible normal directions. This method has several advantages. Computations involving the motion of the interface are relatively fast as compared to "phase field" algorithms but, unlike many "curve tracking" methods, it is easy to detect and make topological changes. The computational algorithm is described, including a method for "shattering" interface edges. The effects of variations of both physical (surface energy, mobility) and non-physical (mesh size) computational parameters have been investigated and produce results consistent with theory. (C) 1994 Academic Press, Inc.


πŸ“œ SIMILAR VOLUMES


A discrete model of substitutional-inter
✍ M. T. Hearne; T. G. Rogers; B. Tuck πŸ“‚ Article πŸ“… 1988 πŸ› John Wiley and Sons 🌐 English βš– 698 KB

A discrete model is developed to describe the diffusion of dopanthmpurity in a single semiconductor crystal during Czochralski growth. The basic diffusion mechanism is assumed to be substitutional-interstitial interchange for the impurity, together with self-diffusion of the host atoms. In particula

Numerical simulation of crystal growth i
✍ P. Zhao; J. C. Heinrich; D. R. Poirier πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 410 KB

## Abstract A sharp‐interface numerical model is presented to simulate thermally driven crystal growth in three‐dimensional space. The model is formulated using the finite element method and works directly with primitive variables. It solves the energy equation in a fixed volume mesh while explicit

Modeling and simulation of self-assembly
✍ Yu U. Wang πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 823 KB

Field-directed dipolar particle self-assembly is explored by computer simulation as a processing route to advanced materials with controlled particulate microstructures. The computational model of arbitrarily shaped ferro-colloidal particles is developed by using a diffuse interface field approach.