Spatial Organization in the Reaction A + B --> inert for Particles with a Drift

Abstract

We describe the spatial structure of particles in the (one dimensional) two-species annihilation reaction A + B --> 0, where both species have a uniform drift in the same direction and like species have a hard core exclusion. For the case of equal initial concentration, at long times, there are three relevant length scales: the typical distance between similar (neighboring) particles, the typical distance between dissimilar (neighboring) particles, and the typical size of a cluster of one type of particles. These length scales are found to be generically different than that found for particles without a drift.

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References in corpus (3)

• Kinetics of A+B--->0 with Driven Diffusive Motion
• Asymptotic behavior of A + B --> inert for particles with a drift
• Discrete to Continuous-Time Crossover due to Anisotropy in Diffusion-Limited Two-Particle Annihilation Reactions

Cited by in corpus (11)

• Kinetics of A+B--->0 with Driven Diffusive Motion
• Driven Pair Contact Process with Diffusion
• Path-Integral Formulation of Stochastic Processes for the Exclusive Particle Systems
• The A+B -> 0 annihilation reaction in a quenched random velocity field
• Three-Species Diffusion-Limited Reaction with Continuous Density-Decay Exponents
• Two-Species Annihilation with Drift: A Model with Continuous Concentration-Decay Exponents
• Shear Flows and Segregation in the Reaction $A+B\to \varnothing$
• Localisation Transition of A Dynamic Reaction Front
• Anomalous kinetics of attractive $A+B\to 0$ reactions
• Anisotropic Diffusion-Limited Reactions with Coagulation and Annihilation
• Large Scale Simulations of Two-Species Annihilation, A+B->0, with Drift