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

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

2000-10-04

arxiv.org/abs/cond-mat/0010062v1

J.Phys.A34:1561-1568,2001

Physics

Condensed Matter

Statistical Mechanics

Latex, 12 pages, with 3 figures included

Scientific paper

10.1088/0305-4470/34/8/303

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.

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