Multispecies pair annihilation reactions.
We consider diffusion-limited reactions A(i)+A(j)--> (1< or =i<j< or =q) in d space dimensions. For q>2 and d> or =2, we argue that the asymptotic density decay for such mutual annihilation processes with equal rates and initial densities is the same as for single-species pair annihilation A+A-->. In d=1, however, particle segregation occurs for all q< infinity. The total density decays according to a q dependent power law, rho(t) approximately t(-alpha(q)). Within a simplified version of the model alpha(q)=(q-1)/2q can be determined exactly. Our findings are supported through Monte Carlo simulations.
Deloubrière
Olivier
O
Department of Physics, Virginia Polytechnic Institute and State University, Blacksburg 24061-0435, USA.
Hilhorst
Henk J
HJ
Täuber
Uwe C
UC
D001695:Biology; D004058:Diffusion; D004463:Ecology; D008962:Models, Theoretical