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
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
收藏
页码:3060 / 3063
页数:4
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