Weak selection and stability of localized distributions in Ostwald ripening

被引：38

作者：

Giron, B ^{[1
]}

Meerson, B ^{[1
]}

Sasorov, PV ^{[1
]}

机构：

[1] Hebrew Univ Jerusalem, Racah Inst Phys, IL-91904 Jerusalem, Israel

来源：

PHYSICAL REVIEW E | 1998年 / 58卷 / 04期

关键词：

D O I：

10.1103/PhysRevE.58.4213

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We support and generalize a weak selection rule predicted recently for the self-similar asymptotics of the distribution function (DF) in the zero-volume-fraction limit of Ostwald ripening (OR). An asymptotic perturbation theory is developed that, when combined with an exact invariance property of the system, yields the selection rule in terms of the initial condition, predicts a power-law convergence towards the selected selfsimilar DF, and agrees well with our numerical simulations for the interface- and diffusion-controlled OR. [S1063-651X(98)00510-8].

引用

页码：4213 / 4216

页数：4

共 29 条

[21]

MEERSON B, CONDMAT9804082

[22]

MEERSON B, UNPUB

[23] Decay of two-dimensional Ag islands on Ag(111) [J].

Morgenstern, K ;

Rosenfeld, G ;

Comsa, G .

PHYSICAL REVIEW LETTERS, 1996, 76 (12) :2113-2116

[24] Nucleation and growth: Decay of a metastable state [J].

Sagui, C ;

OGorman, DS ;

Grant, M .

PHYSICAL REVIEW E, 1997, 56 (01) :R21-R24

[25]

SLYOZOV VV, 1987, SOV PHYS USP, V30, P23

[26] CHEMICAL-POTENTIAL MAPS AND SPATIAL CORRELATIONS IN 2D-ISLAND RIPENING ON SI(001) [J].

THEIS, W ;

BARTELT, NC ;

TROMP, RM .

PHYSICAL REVIEW LETTERS, 1995, 75 (18) :3328-3331

[27]

WAGNER C, 1961, Z ELEKTROCHEM, V65, P581

[28] Coarsening mechanisms in a metal film: From cluster diffusion to vacancy ripening [J].

Wen, JM ;

Evans, JW ;

Bartelt, MC ;

Burnett, JW ;

Thiel, PA .

PHYSICAL REVIEW LETTERS, 1996, 76 (04) :652-655

[29] THEORY AND SIMULATION OF OSTWALD RIPENING [J].

YAO, JH ;

ELDER, KR ;

GUO, H ;

GRANT, M .

PHYSICAL REVIEW B, 1993, 47 (21) :14110-14125

← 1 2 3 →