Annihilation of Immobile Reactants on the Bethe Lattice

Details Annihilation of Immobile Reactants on the Bethe Lattice Annihilation of Immobile Reactants on the Bethe Lattice

1993-05-25

arxiv.org/abs/cond-mat/9305030v1

J. Phys. A 26, L743-L748 (1993)

Physics

Condensed Matter

12 pp, TeX (plain)

Scientific paper

10.1088/0305-4470/26/16/006

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.

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