Kinetics of A+B--->0 with Driven Diffusive Motion

Abstract

We study the kinetics of two-species annihilation, A+B--->0, when all particles undergo strictly biased motion in the same direction and with an excluded volume repulsion between same species particles. It was recently shown that the density in this system decays as t^{-1/3}, compared to t^{-1/4} density decay in A+B--->0 with isotropic diffusion and either with or without the hard-core repulsion. We suggest a relatively simple explanation for this t^{-1/3} decay based on the Burgers equation. Related properties associated with the asymptotic distribution of reactants can also be accounted for within this Burgers equation description.

11 pages, plain Tex, 8 figures. Hardcopy of figures available on request from SR

References in corpus (4)

• Scaling of Reaction Zones in the A+B->0 Diffusion-Limited Reaction
• Diffusion-Limited Annihilation with Initially Separated Reactants
• Asymptotic behavior of A + B --> inert for particles with a drift
• Spatial Organization in the Reaction A + B --> inert for Particles with a Drift

Cited by in corpus (20)

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• Spatial Organization in the Reaction A + B --> inert for Particles with a Drift
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• Statistical Theory for the Kardar-Parisi-Zhang Equation in 1+1 Dimension
• Intermittency of Height Fluctuations and Velocity Increment of The Kardar-Parisi-Zhang and Burgers Equations with infinitesimal surface tension and Viscosity in 1+1 Dimensions
• The A+B -> 0 annihilation reaction in a quenched random velocity field
• Path-Integral Formulation of Stochastic Processes for the Exclusive Particle Systems
• Exact Solution of Two-Species Ballistic Annihilation with General Pair-Reaction Probability
• Three-Species Diffusion-Limited Reaction with Continuous Density-Decay Exponents
• Shear Flows and Segregation in the Reaction $A+B\to \varnothing$
• Two-Species Annihilation with Drift: A Model with Continuous Concentration-Decay Exponents
• Continuously varying exponents in $A+B\to 0$ reaction with long-ranged attractive interaction
• Localisation Transition of A Dynamic Reaction Front
• Analytical results for generalized persistence properties of smooth processes
• Anisotropic Diffusion-Limited Reactions with Coagulation and Annihilation
• Anomalous kinetics of attractive $A+B\to 0$ reactions
• Large Scale Simulations of Two-Species Annihilation, A+B->0, with Drift