Directed percolation with a single defect site

@article{Barato2011DirectedPW,
  title={Directed percolation with a single defect site},
  author={Andre Cardoso Barato and Haye Hinrichsen},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  year={2011},
  volume={2011},
  pages={02035}
}
In a recent study (Miller and Shnerb 2010 arXiv:1011.3254) the contact process with a modified creation rate at a single site was shown to exhibit a non-universal scaling behavior with exponents varying with the creation rate at the special site. In the present work we argue that the survival probability decays according to a stretched exponential rather than a power law, explaining previous observations. 
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