Satya N.Majumdar , Vladimir Privman
Annihilation of Immobile Reactants on the Bethe Lattice
(17K, TeX (plain))
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.