Annihilation of Immobile Reactants on the Bethe Lattice

Abstract

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.

12 pp, TeX (plain)

References in corpus (2)

• Model of Cluster Growth and Phase Separation: Exact Results in One Dimension
• Exact Solution of a Phase Separation Model with Conserved Order Parameter Dynamics

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