Abstract.
The most general one dimensional reaction-diffusion model with nearest-neighbor interactions solvable through the empty interval method, and without any restriction on the particle-generation from two adjacent empty sites is studied. It is shown that turning on the reactions which generate particles from two adjacent empty sites, results in a gap in the spectrum of the evolution operator (or equivalently a finite relaxation time).
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Aghamohammadi, A., Khorrami, M. Models solvable through the empty-interval method. Eur. Phys. J. B 47, 583–586 (2005). https://doi.org/10.1140/epjb/e2005-00358-1
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DOI: https://doi.org/10.1140/epjb/e2005-00358-1