Coexistence of symmetric and parity-broken dendrites in a channel

Raz Kupferman; David A. Kessler; Eshel Ben-Jacob

doi:10.1016/0378-4371(94)00210-K

Coexistence of symmetric and parity-broken dendrites in a channel

Raz Kupferman^*, David A. Kessler, Eshel Ben-Jacob

^*Corresponding author for this work

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

28 Scopus citations

Abstract

We numerically solve the steady-state equation and the stability spectrum for solidification in a channel. For a large range of parameters stable symmetric and stable parity-broken solutions coexist. The branches of parity-broken solutions are found to originate from the symmetric solutions through standard bifurcations.

Original language	English
Pages (from-to)	451-464
Number of pages	14
Journal	Physica A: Statistical Mechanics and its Applications
Volume	213
Issue number	4
DOIs	https://doi.org/10.1016/0378-4371(94)00210-K
State	Published - 1 Feb 1995
Externally published	Yes

Bibliographical note

Funding Information:
his valuable comments. We acknowledge the support of the US-Israel Binational Science Foundation. This study was partially supported by a grant from the G.I.F., the German-Israeli Foundation for Scientific Research and Development. DAK is a Guastella Fellow, supported by the Raschi Foundation.

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title = "Coexistence of symmetric and parity-broken dendrites in a channel",

abstract = "We numerically solve the steady-state equation and the stability spectrum for solidification in a channel. For a large range of parameters stable symmetric and stable parity-broken solutions coexist. The branches of parity-broken solutions are found to originate from the symmetric solutions through standard bifurcations.",

author = "Raz Kupferman and Kessler, {David A.} and Eshel Ben-Jacob",

note = "Funding Information: his valuable comments. We acknowledge the support of the US-Israel Binational Science Foundation. This study was partially supported by a grant from the G.I.F., the German-Israeli Foundation for Scientific Research and Development. DAK is a Guastella Fellow, supported by the Raschi Foundation.",

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AU - Kessler, David A.

AU - Ben-Jacob, Eshel

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PY - 1995/2/1

Y1 - 1995/2/1

N2 - We numerically solve the steady-state equation and the stability spectrum for solidification in a channel. For a large range of parameters stable symmetric and stable parity-broken solutions coexist. The branches of parity-broken solutions are found to originate from the symmetric solutions through standard bifurcations.

AB - We numerically solve the steady-state equation and the stability spectrum for solidification in a channel. For a large range of parameters stable symmetric and stable parity-broken solutions coexist. The branches of parity-broken solutions are found to originate from the symmetric solutions through standard bifurcations.

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Coexistence of symmetric and parity-broken dendrites in a channel

Abstract

Bibliographical note

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