Persistence in Reaction-Diffusion Problems: I. Bosons |
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Authors: | Stephen Michael J. Stinchcombe Robin B. |
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Affiliation: | (1) Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey, 08855-8019;(2) Department of Theoretical Physics, Oxford University, Oxford, OX1 3NP, England |
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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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Keywords: | reaction-diffusion persistence |
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