Exact solution of a reaction-diffusion process with three-site interactions

Abstract

The one-dimensional reaction diffusion process AA->A and A0A->AAA is exactly solvable through the empty interval method if the diffusion rate equals the coagulation rate. Independently of the particle production rate, the model is always in the universality class of diffusion-annihilation. This allows us to check analytically the universality of finite-size scaling in a non-equilibrium critical point.

Latex, 12 pages, with 3 figures included

References in corpus (3)

• Critical properties of the reaction - diffusion model 2A -> 3A, 2A ->0
• Pair contact process with diffusion - A new type of nonequilibrium critical behavior?
• Critical behaviour of the 1d annihilation fission process 2A->0, 2A->3A

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