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The survival of various interacting particle systems

Published online by Cambridge University Press:  01 July 2016

Aidan Sudbury*
Affiliation:
Monash University
*
* Postal address: Department of Mathematics, Monash University, Clayton, VIC 3168, Australia.
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Abstract

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Particles may be removed from a lattice by murder, coalescence, mutual annihilation and simple death. If the particle system is not to die out, the removed particles must be replaced by births. This letter shows that coalescence can be counteracted by arbitrarily small birth-rates and contrasts this with the situations for annihilation and pure death where there are critical phenomena. The problem is unresolved for murder.

Type
Letter to the Editor
Copyright
Copyright © Applied Probability Trust 1993 

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