Localisation Transition of A Dynamic Reaction Front

Abstract

We study the reaction-diffusion process $A+B\to \varnothing$ with injection of each species at opposite boundaries of a one-dimensional lattice and bulk driving of each species in opposing directions with a hardcore interaction. The system shows the novel feature of phase transitions between localised and delocalised reaction zones as the injection rate or reaction rate is varied. An approximate analytical form for the phase diagram is derived by relating both the domain of reactants $A$ and the domain of reactants $B$ to asymmetric exclusion processes with open boundaries, a system for which the phase diagram is known exactly, giving rise to three phases. The reaction zone width $w$ is described by a finite size scaling form relating the early time growth, relaxation time and saturation width exponents. In each phase the exponents are distinct from the previously studied case where the reactants diffuse isotropically.

13 pages, latex, uses epsf

References in corpus (6)

• Phase transitions in an exactly soluble one-dimensional exclusion process
• Diffusion-Limited Annihilation with Initially Separated Reactants
• Kinetics of A+B--->0 with Driven Diffusive Motion
• Refined Simulations of the Reaction Front for Diffusion-Limited Two-Species Annihilation in One Dimension
• 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 (4)

• Localization-delocalization transition of a reaction-diffusion front near a semipermeable wall
• Exact Solution of Two-Species Ballistic Annihilation with General Pair-Reaction Probability
• Delocalization Transition of a Rough Adsorption-Reaction Interface
• Mixing time of A + B -> 0 in 1D