AN EXACT SOLUTION OF THE DISCRETE SMOLUCHOWSKI EQUATION AND ITS CORRESPONDENCE TO THE SOLUTION OF THE CONTINUOUS EQUATION

被引：14
|
作者：
TREAT, RP
机构：
[1] Dept. of Phys., West Virginia Univ., Morgantown, WV
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 13期
关键词：
D O I：
10.1088/0305-4470/23/13/035
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
An exact, general solution of the discrete Smoluchowski equation for the kernel Kk,=A+B(k+j) is derived. Rules are given for taking the continuous limit of the discrete solution. The limit obtained is an exact, general solution of the continuous Smoluchowski equation. Examples of limits are given for specific initial distributions for the case of constant kernel.
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页码：3003 / 3016
页数：14
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