SOME ANALYTICAL AND NUMERICAL-SOLUTIONS FOR COLLOIDAL AGGREGATION WITH FRAGMENTATION

被引：14

作者：

COSTAS, ME ^{[1
]}

MOREAU, M ^{[1
]}

VICENTE, L ^{[1
]}

机构：

[1] UNIV PARIS 06, PHYS THEOR LIQUIDES LAB, F-75252 PARIS 05, FRANCE

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1995年 / 28卷 / 11期

关键词：

D O I：

10.1088/0305-4470/28/11/004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the kinetic equation which describes the evolution of cluster-size distribution of the aggregation-fragmentation problem, the so-called generalized Smoluchowski equation for several dynamics of cluster growth. By using the method of the generating function we find analytical solutions for some cases. Besides, numerical solutions are found for the time evolution of clusters where the aggregation and fragmentation kernels do not allow a complete analytical solution.

引用

页码：2981 / 2994

页数：14

共 20 条

[1]

Shaw DJ, (1992)

[2]

Smoluchowski MV, Z. Phys. Chem., 92, (1917)

[3]

A review is given in Chandrasekhar S, (1954)

[4]

Family F, Meakin P, Deutch JM, Phys. Rev. Lett., 57, 6, (1986)

[5]

Meakin P, Ernst MH, Phys. Rev. Lett., 60, 24, (1988)

[6]

Sorensen CM, Zhang XH, Taylor TW, Phys. Rev. Lett., 58, (1987)

[7]

Elminyawi IM, Gangopadhyay S, Sorensen CM, J. Colloid. Interface Sci., 144, 2, (1990)

[8]

Blatz PJ, Tobolsky AV, J. Phys. Chem., 49, 2, (1945)

[9]

Ziff RM, McGray ED, J. Phys. A: Math. Gen., 18, 15, (1985)

[10]

Ziff RM, McGray ED, J. Stat. Phys., 23, 2, (1980)

← 1 2 →