Anisotropy of interfaces in an ordered alloy: a multiple-order-parameter model

被引:50
作者
Braun, RJ
Cahn, JW
McFadden, GB
Wheeler, AA
机构
[1] UNIV DELAWARE, DEPT MATH SCI, NEWARK, DE 19716 USA
[2] UNIV SOUTHAMPTON, FAC MATH STUDIES, SOUTHAMPTON SO17 1BJ, HANTS, ENGLAND
来源
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1997年 / 355卷 / 1730期
关键词
D O I
10.1098/rsta.1997.0091
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
A multiple-order-parameter theory of ordering on a binary face-centred-cubic (FCC) crystal lattice is developed, and adapted to provide a continuum formulation that incorporates the underlying symmetries of the FCC crystal in both the bulk and gradient-energy terms of the free energy. The theory is used to compute the orientation dependence of the structure and energy of interphase and antiphase boundaries. The structure of these interfaces compares favourably with previous lattice calculations by Kikuchi & Cahn (1962, 1979). Anisotropy is a natural consequence of the lattice calculation and the multiple-order-parameter continuum formulation presented here. This is in contrast to the ad hoc fashion in which anisotropy is often introduced into a single-order-parameter continuum theory.
引用
收藏
页码:1787 / 1833
页数:47
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