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Phase transition of the one-dimensional coagulation-production process

Geza Odor
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Abstract

Recently an exact solution has been found (M.Henkel and H.Hinrichsen, cond-mat/0010062) for the 1d coagulation production process: 2A ->A, A0A->3A with equal diffusion and coagulation rates. This model evolves into the inactive phase independently of the production rate with $t^{-1/2}$ density decay law. Here I show that cluster mean-field approximations and Monte Carlo simulations predict a continuous phase transition for higher diffusion/coagulation rates as considered in cond-mat/0010062. Numerical evidence is given that the phase transition universality agrees with that of the annihilation-fission model with low diffusions.

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Geza Odor. 2000-12-14. Phase transition of the one-dimensional coagulation-production process. https://doi.org/10.1103/physreve.63.067104

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