https://doi.org/10.1007/s100510050489
Solidification in the one-dimensional model for a disordered binary alloy under diffusion*
Institut für Festkörperforschung, Forschungszentrum
Jülich,
52425 Jülich, Germany
Corresponding author: a E.Brener@fz-juelich.de
Received:
12
February
1998
Accepted:
17
April
1998
Published online: 15 October 1998
The propagation of the solidification front of a binary alloy
growing from its melt is studied by Monte-Carlo simulation
and by analytical approximation methods.
The simulation shows that in the one-phase
region the alloy grows steadily with a velocity controlled solely by
kinetics.
In the two-phase region, the previously reported anomaly for the
diffusionless growth
is removed by the diffusion of atoms and the
diffusional growth law is confirmed at least in the range
where the
diffusionless process is slower than diffusion. We cannot rule
out, however,
that the anomaly occurring in the diffusionless case persists even
under diffusion, when the diffusionless growth asymptotically is
faster than a typical diffusion process.
The Monte-Carlo simulations are compared with an approximate
analytical description ignoring correlations
between the components.
PACS: 81.10.-h – Methods of crystal growth; physics of crystal growth / 66.30.Dn – Theory of diffusion and ionic conduction in solids / 05.40.+j – Fluctuation phenomena, random processes, and Brownian motion
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998