Jeffrey E. Steif, Chalmers University of Technology Aidan Sudbury, Monash University
Abstract
We obtain new results concerning poisoning/nonpoisoning in
a catalytic model which has previously been introduced and studied.
We show that poisoning can occur even when the arrival rate of one gas
is smaller than the sum of the arrival rates of the other gases,
and that poisoning does not occur when all gases have equal
arrival rates.
Bramson,M. and Griffeath,D.
Flux and fixation in cyclic particle systems. Ann.
Probab., 17 (1989) 26--45.
Math. Review 89k:60154
Cox,J.T. and Klenke,A.
Recurrence and ergodicity of interacting particle systems.
Probab. Theory Related Fields116 (2000) 239--255.
Math. Review 2001j:60181
Grannan,E. and Swindle,G. Rigorous results
on mathematical models of catalytic surfaces. J. Stat.
Phys., 61 (1990) 1085--1103.
Math. Review 92m:82089
Mountford,T.S. and Sudbury,A.W. An extension
of a result of Grannan and Swindle on the poisoning of catalytic
surfaces. J. Stat. Phys., 67 (1992) 1219--1221.
Math. Review 93b:82055
Sudbury,A.W.
Hunting submartingales in the jumping voter model and the biased
annihilating branching process. Adv. in Appl. Probab.,
31 (1999) 839--854.
Math. Review 2001g:60248
Walters,P.
An introduction to ergodic theory, Springer-Verlag, New York. (1975)
Math. Review 58#1096