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 50 条

[21] MINIMAL DISPLACEMENT OF BRANCHING RANDOM-WALK
BRAMSON, MD
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1978, 45 (02): : 89 - 108
[22] BRANCHING PROCESSES IN SIMPLE RANDOM-WALK
DWASS, M
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 51 (02) : 270 - 274
[23] Critical behavior of an even-offspringed branching and annihilating random-walk cellular automaton with spatial disorder
Odor, G
Menyhárd, N
PHYSICAL REVIEW E, 2006, 73 (03):
[24] PROPAGATION AND EXTINCTION IN BRANCHING ANNIHILATING RANDOM-WALKS
BENAVRAHAM, D
LEYVRAZ, F
REDNER, S
PHYSICAL REVIEW E, 1994, 50 (03): : 1843 - 1850
[25] A VARIATIONAL APPROACH TO BRANCHING RANDOM-WALK IN RANDOM ENVIRONMENT
BAILLON, JB
CLEMENT, PH
GREVEN, A
DENHOLLANDER, F
ANNALS OF PROBABILITY, 1993, 21 (01): : 290 - 317
[26] GROWTH-RATES IN THE BRANCHING RANDOM-WALK
BIGGINS, JD
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1979, 48 (01): : 17 - 34
[27] THE MULTITYPE BRANCHING RANDOM-WALK .2.
IVANOFF, BG
JOURNAL OF MULTIVARIATE ANALYSIS, 1982, 12 (04) : 526 - 548
[28] Critical branching-annihilating random walk of two species
Odor, Geza
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2001, 63 (2 I): : 021113 - 021111
[29] Critical branching-annihilating random walk of two species
Odor, G
PHYSICAL REVIEW E, 2001, 63 (02):
[30] CONTINUITY OF LIMIT RANDOM-VARIABLES IN THE BRANCHING RANDOM-WALK
BIGGINS, JD
GREY, DR
JOURNAL OF APPLIED PROBABILITY, 1979, 16 (04) : 740 - 749

← 1 2 3 4 5 →