Abstract
A phase-field model is used to simulate the dynamics of step-flow during epitaxial growth. An efficient numerical method is developed using a second order accurate fully implicit time discretization together with a second order accurate finite difference spatial discretization. To test the algorithm, we focus on simulations of kinetic instabilities that arise due to the anisotropy of adsorption (attachment) rates at steps from the upper and lower terraces during growth. When the attachment rate from the lower terrace is larger than that from the upper terrace (Ehrlich-Schwoebel effect), step meandering occurs. When the opposite is true of the rates, step bunching occurs. Step-step interactions are seen to reduce the meandering instability.
| Original language | English |
|---|---|
| Title of host publication | Materials Research Society Symposium Proceedings |
| Pages | 118-123 |
| Number of pages | 6 |
| Volume | 859 |
| Publication status | Published - 2004 Dec 1 |
| Externally published | Yes |
| Event | 2004 MRS Fall Meeting - Boston, MA, United States Duration: 2004 Nov 29 → 2004 Dec 3 |
Other
| Other | 2004 MRS Fall Meeting |
|---|---|
| Country | United States |
| City | Boston, MA |
| Period | 04/11/29 → 04/12/3 |
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ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
Cite this
Phase-field modeling of step dynamics. / Lowengrub, J. S.; Hu, Zhengzheng; Wise, S. M.; Kim, Junseok; Voigt, A.
Materials Research Society Symposium Proceedings. Vol. 859 2004. p. 118-123.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Phase-field modeling of step dynamics
AU - Lowengrub, J. S.
AU - Hu, Zhengzheng
AU - Wise, S. M.
AU - Kim, Junseok
AU - Voigt, A.
PY - 2004/12/1
Y1 - 2004/12/1
N2 - A phase-field model is used to simulate the dynamics of step-flow during epitaxial growth. An efficient numerical method is developed using a second order accurate fully implicit time discretization together with a second order accurate finite difference spatial discretization. To test the algorithm, we focus on simulations of kinetic instabilities that arise due to the anisotropy of adsorption (attachment) rates at steps from the upper and lower terraces during growth. When the attachment rate from the lower terrace is larger than that from the upper terrace (Ehrlich-Schwoebel effect), step meandering occurs. When the opposite is true of the rates, step bunching occurs. Step-step interactions are seen to reduce the meandering instability.
AB - A phase-field model is used to simulate the dynamics of step-flow during epitaxial growth. An efficient numerical method is developed using a second order accurate fully implicit time discretization together with a second order accurate finite difference spatial discretization. To test the algorithm, we focus on simulations of kinetic instabilities that arise due to the anisotropy of adsorption (attachment) rates at steps from the upper and lower terraces during growth. When the attachment rate from the lower terrace is larger than that from the upper terrace (Ehrlich-Schwoebel effect), step meandering occurs. When the opposite is true of the rates, step bunching occurs. Step-step interactions are seen to reduce the meandering instability.
UR - http://www.scopus.com/inward/record.url?scp=34249934764&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34249934764&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:34249934764
SN - 155899811X
SN - 9781558998117
VL - 859
SP - 118
EP - 123
BT - Materials Research Society Symposium Proceedings
ER -