6533b824fe1ef96bd128162b
RESEARCH PRODUCT
Pair and triple correlations in theA+B→Bdiffusion-controlled reaction
V. N. KuzovkovV. N. KuzovkovEugene A. KotominEugene A. Kotominsubject
PhysicsExact solutions in general relativitySpatial configurationLattice (order)Diffusion-controlled reactionGeneral Physics and AstronomyAlgebraic numberAtomic physicsdescription
An exact solution for the one-dimensional kinetics of the diffusion-controlled reaction A+B\ensuremath{\rightarrow}B is obtained by means of the three-particle correlation functions. Because of a lattice discreteness each site could be occupied by a single particle only which leads to the so-called ``bus effect'': Recombination of any particle A is defined by a spatial configuration of two nearest particles B only surrounding A from its left and right. This results in the unusual algebraic decay law, n(t)\ensuremath{\propto}${\mathit{t}}^{\mathrm{\ensuremath{-}}1}$, which asymptotically (as t\ensuremath{\rightarrow}\ensuremath{\infty}) does not depend on the trap B concentration.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1994-03-28 | Physical Review Letters |