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

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

1996-06-24

arxiv.org/abs/cond-mat/9606178v1

Phys. Rev. E 54, R1056 (1996)

Physics

Condensed Matter

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

Scientific paper

10.1103/PhysRevE.54.R1056

We propose the general scaling model for the diffusio n-annihilation reaction $A_{+} + A_{-} \longrightarrow \emptyset$ 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.

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