Nonuniversality and breakdown of scaling in two-species aggregation with annihilation

摘要: Abstract We study the kinetics of a simple model aggregation with two distinct monomeric species in which irreversible bonding occurs only between like and annihilation unlike species. In mean-field approximation we find an unexpected kinetic behaviour depends crucially on ratio reaction rates. For relatively constant rates, investigate corresponding rate equations derive exact expressions for exponents describing model. It is observed that behaviours are quite different scaling also generally nonuniversal. Analytical solutions show modified description, sets light heavy species, exists systems sufficiently weak annihilation; strong annihilation, cluster-mass disribution completely breaks down. A rates fusion sum-kernel studied.