Irreversible nA+mB→0 reaction of driven hard-core particles.
We investigate the kinetics of general two species annihilation nA+mB→0 of driven hard-core (HC) particles with N=n+m in one dimension. With uniform drift velocity, all particles are driven to the right. HC exclusion forbids the interchange of any particles and restricts the number of particles on a site to 0 or 1. The reaction is classified into two classes, the symmetric and the asymmetric reaction. The symmetric reaction means both nA+mB→0 and mA+nB→0 , while the asymmetric reaction means only nA+mB→0 for a given (n,m) pair. As N increases, the trains of particles causing the reaction rarely form. Hence, for sufficiently large N, particles are evenly distributed before the reaction, so one expects a crossover N(c) above which the kinetics follows the classical mean-field rate equation. We show the existence of N(c) and that the kinetics for N<N(c) is the same as that of A+B→0 of driven HC particles as in the reactions with the isotropic diffusion. However, compared to the isotropic cases, N(c) and the kinetics for N≥N(c) are shown to be completely changed by the interplay of the drift and HC exclusion, and strongly depend on the reaction symmetry. We also show that densities decay as t(-1/N) which cannot be explained by the classical mean-field rate equation. Instead the kinetics is explained analytically by a variant theory.
Kwon
Sungchul
S
Department of Physics and Research Institute of Basic Sciences, Kyung Hee University, Seoul 130-701, Korea.
Kim
Yup
Y
D001704:Biopolymers / Q000737:chemistry*; D003198:Computer Simulation; D008954:Models, Biological; D008956:Models, Chemical; D008958:Models, Molecular; D010316:Particle Size; D044367:Phase Transition
D001704:Biopolymers