CONCENTRIC DECOMPOSITION DURING RAPID COMPACT GROWTH

Authors
ZUKERMAN M KUPFERMAN R SHOCHET O BENJACOB E
Citation
M. Zukerman et al., CONCENTRIC DECOMPOSITION DURING RAPID COMPACT GROWTH, Physica. D, 90(3), 1996, pp. 293-305
Citations number
26
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Physica. D → ACNP
ISSN journal
01672789
Volume
90
Issue
3
Year of publication
1996
Pages
293 - 305
Database
ISI
SICI code
0167-2789(1996)90:3<293:CDDRCG>2.0.ZU;2-0
Abstract
We study the propagation of compact superheated solid in the large und ercooling limit using the phase-field model. Below a critical undercoo ling, the superheated solid decomposes into solid and liquid domains, either in the form of liquid droplets or in periodic structures of con centric rings. For the latter, a one-dimensional analysis provides an excellent estimate for the propagation velocity and for the wavelength . Both numerical and approximate analytical expressions are obtained.