TY - GEN
T1 - Phase-field modeling of step dynamics
AU - Lowengrub, J. S.
AU - Hu, Zhengzheng
AU - Wise, S. M.
AU - Kim, J. S.
AU - Voigt, A.
PY - 2004
Y1 - 2004
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.
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M3 - Conference contribution
AN - SCOPUS:34249934764
SN - 155899811X
SN - 9781558998117
T3 - Materials Research Society Symposium Proceedings
SP - 118
EP - 123
BT - Modeling of Morphological Evolution at Surfaces and Interfaces
T2 - 2004 MRS Fall Meeting
Y2 - 29 November 2004 through 2 December 2004
ER -