Universality properties of the stationary states in the one-dimensional coagulation-diffusion model with external particle input

@article{Hinrichsen1997UniversalityPO,
  title={Universality properties of the stationary states in the one-dimensional coagulation-diffusion model with external particle input},
  author={Haye Hinrichsen and Vladimir Rittenberg and Horatiu Simon},
  journal={Journal of Statistical Physics},
  year={1997},
  volume={86},
  pages={1203-1235}
}
We investigate with the help of analytical and numerical methods the reactionA+A→A on a one-dimensional lattice opened at one end and with an input of particles at the other end. We show that if the diffusion rates to the left and to the right are equal, for largex, the particle concentrationc(x) behaves likeAsx−1 (x measures the distance to the input end). If the diffusion rate in the direction pointing away from the source is larger than the one corresponding to the opposite direction, the… 
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