Theory of needle-crystal
type: Item
instance of: scholarly article
title: Theory of needle-crystal
zbMATH Open document ID: 0642.65093
DOI: 10.1016/0167-2789(88)90006-1
author: M. Ben Amar
published in: Physica D
publication date: 1988-01-01T00:00:00Z
review text: We investigate the integro-differential equation giving the shape of a steady dendrite growing from a weakly undercooled melt either in two or in three dimensions. Using a generalized WKB analysis we explicitly show that isotropic surface tension prohibits the growth of needle-crystal, introducing transcendentally small terms at the tip, in agreement with our numerical data.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 82D25
zbMATH DE Number: 4047026
zbMATH Keywords: shape of a steady dendrite growing
zbMATH Keywords: WKB analysis
zbMATH Keywords: isotropic surface tension
zbMATH Keywords: growth of needle-crystal
MaRDI profile type: Publication
full work available at URL: 0167-2789(88)90006-1
OpenAlex ID: W2152189324
cites work: Dendrites in the Small Undercooling Limit
cites work: The role of microscopic anisotropy in the macroscopic behavior of a phase boundary
cites work: Q3671491
description: scientific article; zbMATH DE number 4047026