Scaling Model of Annihilation-Diffusion Kinetics for Charged Particles with Long-Range Interactions

Abstract

We propose the general scaling model for the diffusio n-annihilation reaction $A_{+}+A_{-}⟶\varnothing$ with long-range power-law i nteractions. The presented scaling arguments lead to the finding of three different regimes, dep ending on the space dimensionality d and the long-range force power e xponent n. The obtained kinetic phase diagram agrees well with existing simulation data and approximate theoretical results.

RevTEX, 7 pages, no figures, accepted to Physical Review E

References in corpus (1)

• Annihilation of Charged Particles

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