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The annihilating process on random trees and the square lattice

  • Aidan Sudbury (a1)


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.


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Postal address: School of Mathematical Sciences, Monash University, PO Box 28M, VIC 3800, Australia. Email address:


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The annihilating process on random trees and the square lattice

  • Aidan Sudbury (a1)


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