Macroscopic description of interface migration by ledge and kink motion controlled by volume diffusion
concentration
computer simulations
terms
1225-1233
2022-05-10T09:46
en
extension
simulations
FORC
structure
description
kinked interface
initial concentration
supersaturation limit
1991-06
semi-infinite slab
boundary conditions
possible extensions
nonplanar interfaces
gradient
previous work
model
migration
growth problems
conditions
results
article
volume diffusion
diffusion
motion
macroscopic description
articles
time-dependent problems
1991-06-01
https://doi.org/10.1007/bf02660654
limit
https://scigraph.springernature.com/explorer/license/
work
interface migration
false
finite slab
matrix
interface
idealized model
types
fixed structure
A macroscopic description is developed of the diffusion-limited migration of an interface on which only certain preferred interface sites(e.g., kinks or ledges) serve as diffusion sinks. The interface is assumed to be macroscopically flat and is represented by a mathematical plane, ∑. The description is developed by (1) deriving a one-dimensional diffusion equation forc, the concentration averaged over planes parallel to ∑, (2) establishing a macroscopic boundary condition relatingc to the normal gradient ofc at ∑ in terms of the interface structure(i.e., sink site distribution), and (3) evaluating the boundary condition, in the limit of very low super-saturation, for several idealized models of ledged or kinked interfaces. Two types of growth problems are then treated in the low supersaturation limit: a macrosteady-state problem, in which the interface grows into a finite slab of matrix in which the gradient of c is approximately uniform, and a time-dependent problem, in which an interface of fixed structure advances into a semi-infinite slab of uniform initial concentration. The results are compared to computer simulations and to previous work. Possible extensions of the approach to nonplanar interfaces are discussed.
plane
ledges
kink motion
slab
approach
problem
mathematical plane
OFC
uniform initial concentration
sink
1543-1940
1073-5623
Springer Nature
Metallurgical and Materials Transactions A
Department of Metallurgical Engineering and Materials Science, Carnegie Mellon University, 15213, Pittsburgh, PA
Department of Metallurgical Engineering and Materials Science, Carnegie Mellon University, 15213, Pittsburgh, PA
Chemical Sciences
Physical Chemistry (incl. Structural)
doi
10.1007/bf02660654
Mechanical Engineering
Materials Engineering
Engineering
Mullins
W. W.
pub.1029767688
dimensions_id
22
Springer Nature - SN SciGraph project
6