Interfacial growth morphologies in dense eutectic crystal mushes

IF 1.4 4区 数学 Q2 MATHEMATICS, APPLIED
A C Fowler, Marian B Holness
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引用次数: 0

Abstract

We consider the interfacial growth morphologies of crystals growing in contact in crystal mushes, with a specific application to those formed by the solidification of basaltic magma. We focus on the particular case of an augite (pyroxene) crystal growing between two plagioclase crystals. The augite is treated as an equant unfaceted crystal, whereas the plagioclase is faceted, and our treatment applies generally to such combinations. The resulting three-grain junctions in natural rock samples are commonly of two distinct types. In one, the two augite-plagioclase interfaces grow towards each other with opposite curvatures, whereas in the second the curvatures of the interfaces have the same sign, giving a distinctive morphology which we have called an eagle’s beak. The present paper provides a theoretical framework to provide explanations for both of these morphologies, based on the kinetics of interfacial growth.
致密共晶糊状中界面生长形态
我们考虑了晶体黏液中接触生长的晶体的界面生长形态,并特别应用于那些由玄武岩岩浆凝固形成的晶体。我们关注的是在两个斜长石晶体之间生长的辉石晶体的特殊情况。辉长岩被视为一个相等的无面晶体,而斜长石是有面晶体,我们的处理一般适用于这种组合。天然岩石样品中形成的三粒结通常有两种不同的类型。其中一个,两个辉长石斜长石界面以相反的曲率向对方生长,而第二个界面的曲率具有相同的标志,形成了一种独特的形态,我们称之为鹰嘴。本文提供了一个理论框架来解释这两种形态,基于界面生长动力学。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
2.30
自引率
8.30%
发文量
32
审稿时长
24 months
期刊介绍: The IMA Journal of Applied Mathematics is a direct successor of the Journal of the Institute of Mathematics and its Applications which was started in 1965. It is an interdisciplinary journal that publishes research on mathematics arising in the physical sciences and engineering as well as suitable articles in the life sciences, social sciences, and finance. Submissions should address interesting and challenging mathematical problems arising in applications. A good balance between the development of the application(s) and the analysis is expected. Papers that either use established methods to address solved problems or that present analysis in the absence of applications will not be considered. The journal welcomes submissions in many research areas. Examples are: continuum mechanics materials science and elasticity, including boundary layer theory, combustion, complex flows and soft matter, electrohydrodynamics and magnetohydrodynamics, geophysical flows, granular flows, interfacial and free surface flows, vortex dynamics; elasticity theory; linear and nonlinear wave propagation, nonlinear optics and photonics; inverse problems; applied dynamical systems and nonlinear systems; mathematical physics; stochastic differential equations and stochastic dynamics; network science; industrial applications.
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