Annihilation of Charged Particles

Details Annihilation of Charged Particles Annihilation of Charged Particles

1995-09-25

arxiv.org/abs/cond-mat/9509151v1

Physics

Condensed Matter

17 pages, plain TeX, 3 figures available upon request from ispolatov@buphy.bu.edu

Scientific paper

10.1103/PhysRevE.53.3154

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

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