Inter-particle distribution functions for one-species diffusion-limited annihilation, A + A → 0

@article{Alemany1995InterparticleDF,
  title={Inter-particle distribution functions for one-species diffusion-limited annihilation, A + A → 0},
  author={Pablo A. Alemany and Daniel ben-Avraham},
  journal={Physics Letters A},
  year={1995},
  volume={206},
  pages={18-25}
}
Abstract Diffusion-limited annihilation, A + A → 0, and coalescence, A + A → A, may both be exactly analyzed in one dimension. While the concentrations of A particles in the two processes bear a simple relation, the inter-particle distribution functions (IPDF) exhibit remarkable differences. However, the IPDF is known exactly only for the coalescence process. We obtain the IPDF for the annihilation process, based on the Glauber spin approach and assuming that the distances between nearest… 
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