ANNIHILATION OF CHARGED-PARTICLES

Authors
ISPOLATOV I KRAPIVSKY PL
Citation
I. Ispolatov et Pl. Krapivsky, ANNIHILATION OF CHARGED-PARTICLES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(4), 1996, pp. 3154-3159
Citations number
19
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
53
Issue
4
Year of publication
1996
Part
A
Pages
3154 - 3159
Database
ISI
SICI code
1063-651X(1996)53:4<3154:AOC>2.0.ZU;2-K
Abstract
The kinetics of irreversible annihilation of charged particles perform ing overdamped motion induced by long-range interaction force, F(r)sim ilar to 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 corr ection at lambda=1. For lambda less than or equal to 1/2, the asymptot ic behavior is shown to be dependent on system size.