The annihilating process on random trees and the square lattice
Keyword(s):
An annihilating process is an interacting particle system in which the only interaction is that a particle may kill a neighbouring particle. Since there is no birth and no movement, once a particle has no neighbours its site remains occupied for ever. The survival probability is calculated for a random tree and for the square lattice. A connection is made between annihilating processes and the adsorption of molecules onto surfaces. A one-dimensional adsorption problem is solved in the case in which the two neighbours do not act independently.
1990 ◽
Vol 3
(2)
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pp. 311-338
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2000 ◽
Vol 45
(4)
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pp. 694-717
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2001 ◽
Vol 45
(4)
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pp. 604-623
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1996 ◽
Vol 34
(8)
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pp. 915-925
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2005 ◽
Vol 38
(5)
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pp. 1005-1020
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1999 ◽
Vol 31
(3)
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pp. 819-838
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