Annihilation of Charged Particles

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 $\lambda \le 1/2$, the asymptotic behavior is shown to be dependent on system size.

17 pages, plain TeX, 3 figures available upon request from [email protected]

References in corpus (4)

• Phase Ordering Kinetics of One-Dimensional Non-Conserved Scalar Systems
• Exact Exponent $\lambda$ of the Autocorrelation Function for a Soluble Model of Coarsening
• Extremal Properties of Random Systems
• Phase Ordering in One-Dimensional Systems with Long-Range Interactions

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• Extinction and Survival in Two-Species Annihilation
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• Reaction Zones and Quenched Charged-Particle Systems with Long-Range Interactions
• Dynamical Spreading and Memory Retention Under Power Law Potential
• Small-scale behaviour in deterministic reaction models
• Charged Aggregation