Phys. Rev. Lett. 89, 250601 (2002) [4 pages]Multispecies Pair Annihilation ReactionsReceived 20 September 2002; published 3 December 2002 We consider diffusion-limited reactions Ai+Aj→∅ (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→∅. In d=1, however, particle segregation occurs for all q<∞. The total density decays according to a q dependent power law, ρ(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. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.89.250601
DOI:
10.1103/PhysRevLett.89.250601
PACS:
05.40.–a, 82.20.–w
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