Two-Species Annihilation with Drift: A Model with Continuous Concentration-Decay Exponents

Abstract

We propose a model for diffusion-limited annihilation of two species, $A+B\to A$ or $B$, where the motion of the particles is subject to a drift. For equal initial concentrations of the two species, the density follows a power-law decay for large times. However, the decay exponent varies continuously as a function of the probability of which particle, the hopping one or the target, survives in the reaction. These results suggest that diffusion-limited reactions subject to drift do not fall into a limited number of universality classes.

10 pages, tex, 3 figures, also available upon request

References in corpus (6)

• Exact Solutions of Anisotropic Diffusion-Limited Reactions with Coagulation and Annihilation
• Kinetics of A+B--->0 with Driven Diffusive Motion
• Asymptotic behavior of A + B --> inert for particles with a drift
• Spatial Organization in the Reaction A + B --> inert for Particles with a Drift
• Discrete to Continuous-Time Crossover due to Anisotropy in Diffusion-Limited Two-Particle Annihilation Reactions
• Multiparticle Reactions with Spatial Anisotropy

Cited by in corpus (7)

• Multispecies reaction-diffusion systems
• Autonomous multispecies reaction-diffusion systems with more-than-two-site interactions
• Path-Integral Formulation of Stochastic Processes for the Exclusive Particle Systems
• Three-Species Diffusion-Limited Reaction with Continuous Density-Decay Exponents
• Continuously varying exponents in $A+B\to 0$ reaction with long-ranged attractive interaction
• First-passage method for the study of the efficiency of a two-channel reaction on a lattice
• Large Scale Simulations of Two-Species Annihilation, A+B->0, with Drift