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29 March 2024
 
  » arxiv » cond-mat/9610099

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Localisation Transition of A Dynamic Reaction Front
M. J. E. Richardson ; M. R. Evans ;
Date 11 Oct 1996
Journal J. Phys. A 30 (1997) 811-818
Subject Statistical Mechanics | cond-mat.stat-mech
AbstractWe study the reaction-diffusion process $A+B o emptyset$ 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.
Source arXiv, cond-mat/9610099
Other source [GID 538966] cond-mat/9610099
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