Analytical Solution of Smoluchowski Equations in Aggregation-Fragmentation Processes

被引：1

作者：

Sekiyama, Makoto ^{[1
]}

Ohtsuki, Toshiya ^{[1
]}

Yamamoto, Hiroshi ^{[2
]}

机构：

[1] Yokohama City Univ, Grad Sch Nanobiosci, Yokohama, Kanagawa 2360027, Japan

[2] Kitasato Univ, Ctr Nat Sci, Sagamihara, Kanagawa 2520373, Japan

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2017年 / 86卷 / 10期

关键词：

COAGULATION; KINETICS; MODELS;

D O I：

10.7566/JPSJ.86.104003

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The z-transform technique is used to analyze Smoluchowski equations of aggregation-fragmentation processes where the selection of aggregation clusters, a decomposed cluster and a generated cluster is entirely random and independent of cluster size. An analytic form of asymptotic behavior for a cluster size distribution function is derived on the basis of approximation where lower-order terms in the average cluster size are neglected. The obtained results agree well with numerical ones.

引用

页数：4

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