Level-set method for island dynamics in epitaxial growth

2002 ◽  
Vol 65 (19) ◽  
Author(s):  
C. Ratsch ◽  
M. F. Gyure ◽  
R. E. Caflisch ◽  
F. Gibou ◽  
M. Petersen ◽  
...  
Keyword(s):  
Epitaxial Growth ◽  
Level Set Method ◽  
Level Set ◽  
Island Dynamics

scholarly journals Island dynamics and the level set method for epitaxial growth

1999 ◽  
Vol 12 (4) ◽  
pp. 13-22 ◽  
Author(s):  
R.E. Caflisch ◽  
M.F. Gyure ◽  
B. Merriman ◽  
S.J. Osher ◽  
C. Ratsch ◽  
...  
Keyword(s):  
Epitaxial Growth ◽  
Level Set Method ◽  
Level Set ◽  
Island Dynamics

Island-Size Distributions for Submonolayer Epitaxy: Rate Equations and Beyond

1998 ◽  
Vol 528 ◽  
Author(s):  
D.D. Vvedensky ◽  
R.E. Caflisch ◽  
M.F. Gyure ◽  
B. Merriman ◽  
S. Osher ◽  
...  
Keyword(s):  
Level Set Method ◽  
Level Set ◽  
Atomic Scale ◽  
Rate Equations ◽  
Size Distributions ◽  
Scanning Tunnelling Microscope ◽  
Dynamics Model ◽  
Island Size ◽  
Boundary Velocity ◽  
Island Dynamics

AbstractThe scanning tunnelling microscope has revolutionized the quantitative analysis of epitaxial phenomena. This, in turn, has spawned a huge theoretical effort aimed at analyzing various aspects of the morphology of growing surfaces. One of the most important general approaches to have emerged from this effort is based on the application of scaling concepts to epitaxial island-size distributions in the regime of submonolayer coverage prior to coalescence. We first discuss the analytical basis for scaling solutions to rate equations. In the limit of irreversible aggregation, a solution is obtained in terms of the capture numbers which agrees with previous work. For reversible aggregation, we identify a new quantity that may be regarded as a continuous analogue of a critical island size. We then examine the influence of spatial correlations by introducing a method for modeling epitaxial phenomena in terms of the motion of island boundaries, which is implemented numerically using the level set method. This island dynamics model is continuous in the lateral directions, but retains atomic scale discreteness in the growth direction. Several choices for the island boundary velocity are discussed and computations of the island dynamics model using the level set method are presented.

A Level Set Method for Thin Film Epitaxial Growth

2001 ◽  
Vol 167 (2) ◽  
pp. 475-500 ◽  
Author(s):  
Susan Chen ◽  
Barry Merriman ◽  
Myungjoo Kang ◽  
Russel E. Caflisch ◽  
Christian Ratsch ◽  
...  
Keyword(s):  
Thin Film ◽  
Epitaxial Growth ◽  
Level Set Method ◽  
Level Set

Island Dynamics and Level Set Methods for Continuum Modeling of Epitaxial Growth

2000 ◽  
pp. 145-171
Author(s):  
Barry Merriman ◽  
Russel Caflisch ◽  
Stanley Osher ◽  
Christian Ratsch ◽  
Susan Chen ◽  
...  
Keyword(s):  
Epitaxial Growth ◽  
Level Set ◽  
Level Set Methods ◽  
Continuum Modeling ◽  
Island Dynamics

Level Set Method Optimized with the Euclidean Distance Transform

2019 ◽  
Author(s):  
Luis Fernando Segalla ◽  
Alexandre Zabot ◽  
Diogo Nardelli Siebert ◽  
Fabiano Wolf
Keyword(s):  
Level Set Method ◽  
Level Set ◽  
Euclidean Distance ◽  
Distance Transform ◽  
Euclidean Distance Transform
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