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Phase transition in an exactly solvable reaction-diffusion process
Somayeh Zeraati1, Farhad H Jafarpour, Haye Hinrichsen
1Bu-Ali Sina University, Physics Department, 65174-4161 Hamedan, Iran. s.zeraati@basu.ac.ir
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.
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