Localization transition of a dynamic reaction front

MJE Richardson*, MR Evans

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

We study the reaction-diffusion process A + B --> O 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 localized and delocalized 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.

Original languageEnglish
Pages (from-to)811-818
Number of pages8
JournalJournal of Physics A: Mathematical and General
Issue number3
Publication statusPublished - 7 Feb 1997

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