Concentric decomposition during rapid compact growth

Menahem Zukerman; Raz Kupferman; Ofer Shochet; Eshel Ben-Jacob

doi:10.1016/0167-2789(95)00240-5

Concentric decomposition during rapid compact growth

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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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 language	English
Pages (from-to)	293-305
Number of pages	13
Journal	Physica D: Nonlinear Phenomena
Volume	90
Issue number	3
DOIs	https://doi.org/10.1016/0167-2789(95)00240-5
State	Published - 1996
Externally published	Yes

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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title = "Concentric decomposition during rapid compact growth",

abstract = "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.",

author = "Menahem Zukerman and Raz Kupferman and Ofer Shochet and Eshel Ben-Jacob",

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).",

year = "1996",

doi = "10.1016/0167-2789(95)00240-5",

language = "אנגלית",

volume = "90",

pages = "293--305",

journal = "Physica D: Nonlinear Phenomena",

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T1 - Concentric decomposition during rapid compact growth

AU - Zukerman, Menahem

AU - Kupferman, Raz

AU - Shochet, Ofer

AU - Ben-Jacob, Eshel

N1 - 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).

PY - 1996

Y1 - 1996

N2 - 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.

AB - 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.

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VL - 90

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EP - 305

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 3

ER -

Concentric decomposition during rapid compact growth

Abstract

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