Se p 19 95 Annihilation of Charged Particles

The kinetics of irreversible annihilation of charged particles performing overdamped motion induced by long-range interaction force, F (r) ∼ r −λ , is investigated. The system exhibits rich kinetic behaviors depending on the force exponent λ. In one dimension we find that the densities decay as t −1/(2+λ) and t −1/(1+2λ) when λ > 1 and 1/2 < λ < 1, respectively , with logarithmic correction at λ = 1. For λ ≤ 1/2, the asymptotic behavior is shown to be dependent on system size.