UPPER-BOUNDS FOR THE GROWTH-RATE OF DLA

被引：21

作者：

KESTEN, H

机构：

[1] Department of Mathematics, Cornell University, Ithaca

来源：

PHYSICA A | 1990年 / 168卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0378-4371(90)90405-H

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that the maximal length of the arms in DLA can grow at most at a rate n 2 (d+1), where n denotes the volume or mass of the aggregate, and d is the dimension. (A logarithmic correction factor is needed if d=3). We also give a lower bound for the number of sites in a sphere which are eventually occupied by the aggregate. © 1990.

引用

页码：529 / 535

页数：7

共 13 条

[1]

[Anonymous], 1964, PRINCIPLES RANDOM WA, DOI DOI 10.1007/978-1-4757-4229-9

[2] CAUSALITY BOUND ON THE DENSITY OF AGGREGATES [J].