NUMERICAL-SOLUTIONS TO THE SMOLUCHOWSKI AGGREGATION FRAGMENTATION EQUATION

被引：36

作者：

ELMINYAWI, IM ^{[1
]}

GANGOPADHYAY, S ^{[1
]}

SORENSEN, CM ^{[1
]}

机构：

[1] KANSAS STATE UNIV AGR & APPL SCI,DEPT PHYS,CARDWELL HALL,MANHATTAN,KS 66506

来源：

JOURNAL OF COLLOID AND INTERFACE SCIENCE | 1991年 / 144卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0021-9797(91)90397-Q

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

We numerically solved the Smoluchowski rate equation for different combinations of fragmentation and aggregation kernels. The average cluster size, number of clusters, and cluster size distribution were calculated as functions of time and found to reach equilibrium values. Scaling and functional form of the cluster size distribution have been obtained. Detailed comparison with previously reported analytical predictions was made and satisfactory agreement was found. © 1991 Academic Press, Inc. All rights reserved.

引用

页码：315 / 323

页数：9

共 13 条

[1]

[Anonymous], 2007, NUMERICAL RECIPES AR

[2] NOTE ON THE KINETICS OF SYSTEMS MANIFESTING SIMULTANEOUS POLYMERIZATION-DEPOLYMERIZATION PHENOMENA [J].

BLATZ, PJ ;

TOBOLSKY, AV .

JOURNAL OF PHYSICAL CHEMISTRY, 1945, 49 (02) :77-80

[3]

FAMILY F, 1986, PHYS REV LETT, V57, P2332, DOI 10.1103/PhysRevLett.57.2332.4

[4] REVERSIBLE DIFFUSION-LIMITED CLUSTER AGGREGATION [J].

KOLB, M .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (05) :L263-L268

[5]

LANDAU DP, 1984, KINETICS AGGREGATION

[6] SCALING IN AGGREGATION WITH BREAKUP SIMULATIONS AND MEAN-FIELD THEORY [J].

MEAKIN, P ;

ERNST, MH .

PHYSICAL REVIEW LETTERS, 1988, 60 (24) :2503-2506

[7] CLUSTER-SIZE EVOLUTION IN A COAGULATION-FRAGMENTATION SYSTEM [J].

SORENSEN, CM ;

ZHANG, HX ;

TAYLOR, TW .

PHYSICAL REVIEW LETTERS, 1987, 59 (03) :363-366

[8]

STANLEY HE, 1986, GROWTH FORM FRACTAL

[9] ON THE STABILITY OF COAGULATION FRAGMENTATION POPULATION BALANCES [J].

VIGIL, RD ;

ZIFF, RM .

JOURNAL OF COLLOID AND INTERFACE SCIENCE, 1989, 133 (01) :257-264

[10] CLUSTER-SIZE EVOLUTION IN A COAGULATION-FRAGMENTATION SYSTEM - COMMENT [J].

VIGIL, RD ;

ZIFF, RM .

PHYSICAL REVIEW LETTERS, 1988, 61 (12) :1431-1431

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