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 proceedingConference contribution

1 Citation (Scopus)


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 languageEnglish
Title of host publicationModeling of Morphological Evolution at Surfaces and Interfaces
Number of pages6
Publication statusPublished - 2004
Externally publishedYes
Event2004 MRS Fall Meeting - Boston, MA, United States
Duration: 2004 Nov 292004 Dec 2

Publication series

NameMaterials Research Society Symposium Proceedings
ISSN (Print)0272-9172


Other2004 MRS Fall Meeting
Country/TerritoryUnited States
CityBoston, MA

ASJC Scopus subject areas

  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


Dive into the research topics of 'Phase-field modeling of step dynamics'. Together they form a unique fingerprint.

Cite this