Nonuniversal self-similarity in a coagulation-annihilation model with constant kernels
Résumé
The large time dynamics of a two species coagulation-annihilation system with constant coagulation and annihilation rates is studied analytically when annihilation is complete. A scaling behaviour is observed which varies with the parameter coupling the annihilation of the two species, and, which is nonuniversal in the sense that it varies, in some cases, with the initial conditions as well. The latter actually occurs when either the coupling parameter is equal to one or the initial number of particles is the same for the two species.
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