Pattern selection in dendritic solidification

E. Ben-Jacob; Nigel Goldenfeld; B. G. Kotliar; J. S. Langer

doi:10.1103/PhysRevLett.53.2110

Pattern selection in dendritic solidification

E. Ben-Jacob, Nigel Goldenfeld, B. G. Kotliar, J. S. Langer

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149 Scopus citations

Abstract

We show that the dynamically selected velocity and tip radius of dendrites in the boundary-layer model of solidification have the special values which permit the existence of steady-state needle-crystal solutions. This result, in conjunction with considerations of stability, provides new insight concerning the validity of the marginal stability hypothesis.

Original language	English (US)
Pages (from-to)	2110-2113
Number of pages	4
Journal	Physical review letters
Volume	53
Issue number	22
DOIs	https://doi.org/10.1103/PhysRevLett.53.2110
State	Published - 1984
Externally published	Yes

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1103/PhysRevLett.53.2110

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title = "Pattern selection in dendritic solidification",

abstract = "We show that the dynamically selected velocity and tip radius of dendrites in the boundary-layer model of solidification have the special values which permit the existence of steady-state needle-crystal solutions. This result, in conjunction with considerations of stability, provides new insight concerning the validity of the marginal stability hypothesis.",

author = "E. Ben-Jacob and Nigel Goldenfeld and Kotliar, {B. G.} and Langer, {J. S.}",

year = "1984",

doi = "10.1103/PhysRevLett.53.2110",

language = "English (US)",

volume = "53",

pages = "2110--2113",

journal = "Physical review letters",

issn = "0031-9007",

publisher = "American Physical Society",

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T1 - Pattern selection in dendritic solidification

AU - Ben-Jacob, E.

AU - Goldenfeld, Nigel

AU - Kotliar, B. G.

AU - Langer, J. S.

PY - 1984

Y1 - 1984

N2 - We show that the dynamically selected velocity and tip radius of dendrites in the boundary-layer model of solidification have the special values which permit the existence of steady-state needle-crystal solutions. This result, in conjunction with considerations of stability, provides new insight concerning the validity of the marginal stability hypothesis.

AB - We show that the dynamically selected velocity and tip radius of dendrites in the boundary-layer model of solidification have the special values which permit the existence of steady-state needle-crystal solutions. This result, in conjunction with considerations of stability, provides new insight concerning the validity of the marginal stability hypothesis.

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U2 - 10.1103/PhysRevLett.53.2110

DO - 10.1103/PhysRevLett.53.2110

M3 - Article

AN - SCOPUS:33749405179

SN - 0031-9007

VL - 53

SP - 2110

EP - 2113

JO - Physical review letters

JF - Physical review letters

IS - 22

ER -

Pattern selection in dendritic solidification

Abstract

All Science Journal Classification (ASJC) codes

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