title: Phase transition in an exactly solvable reaction-diffusion process.
abstract: We study a nonconserved one-dimensional stochastic process which involves two species of particles A and B. The particles diffuse asymmetrically and react in pairs as A∅↔AA↔BA↔A∅ and B∅↔BB↔AB↔B∅. We show that the stationary state of the model can be calculated exactly by using matrix product techniques. The model exhibits a phase transition at a particular point in the phase diagram which can be related to a condensation transition in a particular zero-range process. We determine the corresponding critical exponents and provide a heuristic explanation for the unusually strong corrections to scaling seen in the vicinity of the critical point.
authors.affiliation: Bu-Ali Sina University, Physics Department, 65174-4161 Hamedan, Iran. s.zeraati@basu.ac.ir
authors.forename: Somayeh
authors.initials: S
authors.lastname: Zeraati
authors.forename: Farhad H
authors.initials: FH
authors.lastname: Jafarpour
authors.forename: Haye
authors.initials: H
authors.lastname: Hinrichsen