Sf. Burlatsky et al., SCALING MODEL OF ANNIHILATION-DIFFUSION KINETICS FOR CHARGED-PARTICLES WITH LONG-RANGE INTERACTIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(2), 1996, pp. 1056-1057
We propose a general scaling model for the diffusion-annihilation reac
tion A(+)+A(-)-->empty set with long-range power-law interactions. The
presented scaling arguments lead to the finding of three different re
gimes, depending on the space dimensionality d and the long-range forc
e power exponent n. The obtained kinetic phase diagram agrees well wit
h existing simulation data and approximate theoretical results.