The unique attractor in the theory of Ostwald ripening

被引:10
作者
Stevens, RN [1 ]
Davies, CKL [1 ]
机构
[1] Univ London Queen Mary & Westfield Coll, Dept Mat, London E1 4NS, England
关键词
phase transformations; diffusion; particle coarsening; Ostwald ripening;
D O I
10.1016/S1359-6462(01)01189-7
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
It is shown that time-independence of the inverse rate constant implies a time-independent probability distribution of particles sizes. and that this probability distribution arises from the form of the asymptotic characteristic curves of the solution to the continuity equation. From this an expression for the distribution is derived, valid for finite volume fraction. (C) 2002 Acta Materialia Inc. Published by Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:19 / 23
页数:5
相关论文
共 12 条
[1]   DEPENDENCE OF OSTWALD RIPENING KINETICS ON PARTICLE-VOLUME FRACTION [J].
BRAILSFORD, AD ;
WYNBLATT, P .
ACTA METALLURGICA, 1979, 27 (03) :489-497
[2]   A NEW EXAMINATION OF CLASSICAL COARSENING THEORY [J].
BROWN, LC .
ACTA METALLURGICA, 1989, 37 (01) :71-77
[3]   FINITE VOLUME FRACTION EFFECTS ON OSTWALD RIPENING [J].
ENOMOTO, Y ;
TOKUYAMA, M ;
KAWASAKI, K .
ACTA METALLURGICA, 1986, 34 (11) :2119-2128
[4]   Weak selection and stability of localized distributions in Ostwald ripening [J].
Giron, B ;
Meerson, B ;
Sasorov, PV .
PHYSICAL REVIEW E, 1998, 58 (04) :4213-4216
[5]  
GRATZ H, 1995, SCRIPTA MATER, V34, P1209
[6]   THE KINETICS OF PRECIPITATION FROM SUPERSATURATED SOLID SOLUTIONS [J].
LIFSHITZ, IM ;
SLYOZOV, VV .
JOURNAL OF PHYSICS AND CHEMISTRY OF SOLIDS, 1961, 19 (1-2) :35-50
[7]   THEORY OF OSTWALD RIPENING - COMPETITIVE GROWTH AND ITS DEPENDENCE ON VOLUME FRACTION [J].
MARQUSEE, JA ;
ROSS, J .
JOURNAL OF CHEMICAL PHYSICS, 1984, 80 (01) :536-543
[8]   Domain stability, competition, growth, and selection in globally constrained bistable systems [J].
Meerson, B ;
Sasorov, PV .
PHYSICAL REVIEW E, 1996, 53 (04) :3491-3494
[9]   Fluctuations provide strong selection in Ostwald ripening [J].
Meerson, B .
PHYSICAL REVIEW E, 1999, 60 (03) :3072-3075
[10]   Diffusional mechanism of strong selection in Ostwald ripening [J].
Rubinstein, I ;
Zaltzman, B .
PHYSICAL REVIEW E, 2000, 61 (01) :709-717