Abstract
We consider the persistence probability that a site, initially unoccupied, remains unoccupied for a long time t in reaction-diffusion systems. The models considered are bosonic, i.e., multiple occupancy of the sites is allowed and can be exactly diagonalized. The persistence shows a wide variety of time dependences depending on the model, the dimensionality, and even the initial conditions
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Stephen, M.J., Stinchcombe, R.B. Persistence in Reaction-Diffusion Problems: I. Bosons. Journal of Statistical Physics 95, 171–180 (1999). https://doi.org/10.1023/A:1004577411435
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DOI: https://doi.org/10.1023/A:1004577411435