# Annihilation of Charged Particles

Source: [Annihilation of Charged Particles](<https://www.sota2.com/research/paper/68fa24382c2a3760193a0f37>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T08:57:08.314Z

Authors: I.Ispolatov, P.Krapivsky

Published: 1995-09-25T18:28:06.000Z

## Abstract

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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9509151>)

[PDF](<https://arxiv.org/pdf/cond-mat/9509151.pdf>)