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APS » Journals » Phys. Rev. E » Volume 54 » Issue 2
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Phys. Rev. E 54, R1056–R1057 (1996)

Scaling model of annihilation-diffusion kinetics for charged particles with long-range interactions

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Sergei F. Burlatsky1, Valeriy V. Ginzburg2, and Noel A. Clark2
1Department of Chemistry, University of Washington, Seattle, Washington 98195-1700
2Department of Physics, University of Colorado, Boulder, Colorado 80309-0390

Received 8 May 1996; published in the issue dated August 1996

We propose a general scaling model for the diffusion-annihilation reaction A++A-→∅ with long-range power-law interactions. The presented scaling arguments lead to the finding of three different regimes, depending on the space dimensionality d and the long-range force power exponent n. The obtained kinetic phase diagram agrees well with existing simulation data and approximate theoretical results.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.54.R1056
DOI:
10.1103/PhysRevE.54.R1056
PACS:
61.30.Jf, 82.40.-g
 
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