EXTINCTION, SURVIVAL, AND DYNAMIC PHASE-TRANSITION OF BRANCHING ANNIHILATING RANDOM-WALK

被引：225

作者：

TAKAYASU, H

TRETYAKOV, AY

机构：

[1] Department of Earth Sciences, Faculty of Science, Kobe University

来源：

PHYSICAL REVIEW LETTERS | 1992年 / 68卷 / 20期

关键词：

D O I：

10.1103/PhysRevLett.68.3060

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analyze statistical properties of random walkers which disappear when they meet and make offsprings by a controllable rate. Numerical results for one, two, and three dimensions and for the Sierpinski gasket are assessed in view of the mean-field theory predictions. Universality classes are found to depend on the number of offsprings in space dimension less than 3.

引用

页码：3060 / 3063

页数：4

共 6 条

[1] DIFFUSION AND ANNIHILATION REACTIONS OF LEVY FLIGHTS WITH BOUNDED LONG-RANGE HOPPINGS [J].