Concentric decomposition during rapid compact growth

Menahem Zukerman*, Raz Kupferman, Ofer Shochet, Eshel Ben-Jacob

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


We study the propagation of compact superheated solid in the large undercooling limit using the phase-field model. Below a critical undercooling, the superheated solid decomposes into solid and liquid domains, either in the form of liquid droplets or in periodic structures of concentric 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.

Original languageAmerican English
Pages (from-to)293-305
Number of pages13
JournalPhysica D: Nonlinear Phenomena
Issue number3
StatePublished - 1996
Externally publishedYes

Bibliographical note

Funding Information:
We are grateful to D. Kessler, Z. Schuss and R. Mints for useful discussions. This study was supported in part by a grant from the G.I.F., the German-Israeli Foundation for Scientific Research and Development, and by grant No. 9200051 from the United States-Israel Binational Science Foundation (BSF).


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