A new model or periodic precipitation incorporating nucleation, growth and ripening

被引：42

作者：

Chacron, M ^{[1
]}

L'Heureux, I ^{[1
]}

机构：

[1] Univ Ottawa, Dept Phys, Ottawa Carleton Inst Phys, Ottawa, ON K1N 6N5, Canada

来源：

PHYSICS LETTERS A | 1999年 / 263卷 / 1-2期

基金：

加拿大自然科学与工程研究理事会;

关键词：

periodic precipitation; Liesegang bands; competitive growth model; prenucleation model; postnucleation model;

D O I：

10.1016/S0375-9601(99)00709-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present and solve a one-dimensional model of periodic precipitation which includes nucleation, growth and ripening processes. This model thus generalizes two important models: the prenucleation-based model of Dee and the postnucleation competitive growth model (CGM) of Feeney et al. By tuning a simple phenomenological parameter, our model smoothly bridges the gap between a nucleation-growth dominated regime and one where ripening is active. (C) 1999 Published by Elsevier Science B.V. All rights reserved.

引用

页码：70 / 77

页数：8

共 30 条

[1]

[Anonymous], 1994, S AFR J GEOL

[2] CRYSTAL AGING AND THE FORMATION OF FINE-SCALE IGNEOUS LAYERING [J].

BOUDREAU, AE .

MINERALOGY AND PETROLOGY, 1995, 54 (1-2) :55-69

[3] CONTRIBUTION TO THE THEORY OF DIFFUSION-REACTION CONTROLLED LIESEGANG PATTERNS [J].

BRECHET, Y ;

KIRKALDY, JS .

JOURNAL OF CHEMICAL PHYSICS, 1989, 90 (03) :1499-1504

[4]

BUKI A, 1995, J CHEM PHYS, V103, P10387, DOI 10.1063/1.469875

[5] 2-DIMENSIONAL CHEMICAL-PATTERN FORMATION IN GELS - EXPERIMENTS AND COMPUTER-SIMULATION [J].

BUKI, A ;

KARPATISMIDROCZKI, E ;

ZRINYI, M .

PHYSICA A, 1995, 220 (3-4) :357-375

[6] A MODEL OF PATTERN-FORMATION BY PRECIPITATION [J].

CHERNAVSKII, DS ;

POLEZHAEV, AA ;

MULLER, SC .

PHYSICA D, 1991, 54 (1-2) :160-170

[7] REACTION-DIFFUSION CELLULAR-AUTOMATA MODEL FOR THE FORMATION OF LIESEGANG PATTERNS [J].

CHOPARD, B ;

LUTHI, P ;

DROZ, M .

PHYSICAL REVIEW LETTERS, 1994, 72 (09) :1384-1387

[8] THE PATTERNS PRODUCED BY PRECIPITATION AT A MOVING REACTION FRONT [J].

DEE, GT .

PHYSICA D, 1986, 23 (1-3) :340-344

[9]

FEENEY R, 1983, J CHEM PHYS, V78, P1293, DOI 10.1063/1.444867

[10]

Henisch HK., 1991, Periodic precipitation

← 1 2 3 →