STABILITY AND RELAXATION OF POWER-LAW DISTRIBUTION

被引：8
|
作者：
TAKAYASU, H
PROVATA, A
TAKAYASU, M
机构：
[1] BOSTON UNIV, CTR POLYMER STUDIES, BOSTON, MA 02215 USA
[2] BOSTON UNIV, DEPT PHYS, BOSTON, MA 02215 USA
来源：
PHYSICAL REVIEW A | 1990年 / 42卷 / 12期
关键词：
D O I：
10.1103/PhysRevA.42.7087
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We study the stability of the steady state in an aggregation system with injection for one dimension and the mean-field cases. We prove that for any initial perturbation the system is stable and eventually recovers the power-law steady state. The form of the relaxation follows either a stretched exponential (e(-t-alpha), alpha = 2,3) or a power law (t-beta, Beta = 1, 3/4) depending on the type of injection.
引用
收藏
页码：7087 / 7090
页数：4
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