Diffusion–annihilation dynamics in one spatial dimension

@article{Santos1996DiffusionannihilationDI,
  title={Diffusion–annihilation dynamics in one spatial dimension},
  author={Jaime E Santos and Gunter M. Schutz and Robin B. Stinchcombe},
  journal={Journal of Chemical Physics},
  year={1996},
  volume={105},
  pages={2399-2407}
}
We discuss a reaction–diffusion model in one dimension subjected to an external driving force. Each lattice site may be occupied by at most one particle. The particles hop with rates (1±η)/2 to the right or left nearest neighbor site if it is vacant, and annihilate with rate one if it is occupied. The representation of an uncorrelated random initial state in terms of free fermions allows the calculation of multiple time‐dependent higher order correlation functions of the local density. We… 
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