Multi-species pair annihilation reactions

Details Multi-species pair annihilation reactions Multi-species pair annihilation reactions

2002-09-19

arxiv.org/abs/cond-mat/0209471v1

Phys. Rev. Lett. 89 (2002) 250601

Physics

Condensed Matter

Statistical Mechanics

4 pages, revtex; two figures included

Scientific paper

10.1103/PhysRevLett.89.250601

We consider diffusion-limited reactions A_i + A_j -> 0 (1 <= i < j <= q) in d space dimensions. For q > 2 and d >= 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 -> 0. In d = 1, however, particle segregation occurs for all q < oo. The total density decays according to a $q$ dependent power law, rho(t) ~ 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.

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