THE SURVIVAL OF VARIOUS INTERACTING PARTICLE-SYSTEMS

Authors
SUDBURY A
Citation
A. Sudbury, THE SURVIVAL OF VARIOUS INTERACTING PARTICLE-SYSTEMS, Advances in Applied Probability, 25(4), 1993, pp. 1010-1012
Citations number
9
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Advances in Applied Probability → ACNP
ISSN journal
00018678
Volume
25
Issue
4
Year of publication
1993
Pages
1010 - 1012
Database
ISI
SICI code
0001-8678(1993)25:4<1010:TSOVIP>2.0.ZU;2-C
Abstract
Particles may be removed from a lattice by murder, coalescence, mutual annihilation and simple death. If the particle system is not to die o ut, the removed particles must be replaced by births. This letter show s that coalescence can be counteracted by arbitrarily small birth-rate s and contrasts this with the situations for annihilation and pure dea th where there are critical phenomena. The problem is unresolved for m urder.