Phase-field modeling of step dynamics

J. S. Lowengrub; Zhengzheng Hu; S. M. Wise; J. S. Kim; A. Voigt

Phase-field modeling of step dynamics

J. S. Lowengrub, Zhengzheng Hu, S. M. Wise, J. S. Kim, A. Voigt

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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	Modeling of Morphological Evolution at Surfaces and Interfaces
Pages	118-123
Number of pages	6
Publication status	Published - 2004
Externally published	Yes
Event	2004 MRS Fall Meeting - Boston, MA, United States Duration: 2004 Nov 29 → 2004 Dec 2

Publication series

Name	Materials Research Society Symposium Proceedings
Volume	859
ISSN (Print)	0272-9172

Other

Other	2004 MRS Fall Meeting
Country	United States
City	Boston, MA
Period	04/11/29 → 04/12/2

ASJC Scopus subject areas

Materials Science(all)
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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title = "Phase-field modeling of step dynamics",

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.",

author = "Lowengrub, {J. S.} and Zhengzheng Hu and Wise, {S. M.} and Kim, {J. S.} and A. Voigt",

year = "2004",

language = "English",

isbn = "155899811X",

series = "Materials Research Society Symposium Proceedings",

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note = "2004 MRS Fall Meeting ; Conference date: 29-11-2004 Through 02-12-2004",

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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 -