Phase transition of the one-dimensional coagulation-production process

Details Phase transition of the one-dimensional coagulation-production process Phase transition of the one-dimensional coagulation-production process

2000-12-14

arxiv.org/abs/cond-mat/0012254v1

Phys. Rev. E 63 (2001) 067104.

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures included

Scientific paper

10.1103/PhysRevE.63.067104

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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