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
ALBANO, EV
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (14): : 3351 - 3358
[2] Bramson M., 1985, Z WAHRSCH VERW GEBIE, V68, P447
[3] STEADY-STATE DIFFUSION-CONTROLLED A+A-]O REACTION IN EUCLIDEAN AND FRACTAL DIMENSIONS - RATE LAWS AND PARTICLE SELF-ORDERING
CLEMENT, E
SANDER, LM
KOPELMAN, R
[J]. PHYSICAL REVIEW A, 1989, 39 (12): : 6472 - 6477
[4] Gates B. C., 1979, CHEM CATALYTIC PROCE
[5] THE BRANCHING ANNIHILATING PROCESS - AN INTERACTING PARTICLE SYSTEM
SUDBURY, A
[J]. ANNALS OF PROBABILITY, 1990, 18 (02) : 581 - 601
[6] [No title captured]

← 1 →