ar X iv : c on d - m at / 9 30 50 30 v 1 2 5 M ay 1 99 3 Annihilation of Immobile Reactants on the Bethe Lattice
نویسندگان
چکیده
Two-particle annihilation reaction, A+A → inert, for immobile reactants on the Bethe lattice is solved exactly for the initially random distribution. The process reaches an absorbing state in which no nearest-neighbor reactants are left. The approach of the concentration to the limiting value is exponential. The solution reproduces the known one-dimensional result which is further extended to the reaction A+B → inert. PACS numbers: 82.20.Mj and 05.40.+j
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