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Multi-species pair annihilation reactions

Olivier Deloubriere·Henk Hilhorst·Uwe C. Tauber
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Abstract

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^{-α(q)}. Within a simplified version of the model α(q) = (q-1) / 2q can be determined exactly. Our findings are supported through Monte Carlo simulations.

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Olivier Deloubriere, Henk Hilhorst, Uwe C. Tauber. 2002-09-19. Multi-species pair annihilation reactions. https://doi.org/10.1103/physrevlett.89.250601

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