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Reaction-diffusion process driven by a localized source: First-passage properties

Reaction-diffusion process driven by a localized source: First-passage properties

We study a reaction-diffusion process that involves two species of atoms, immobile and diffusing. We start with only immobile atoms uniformly distributed throughout the entire space. Diffusing atoms are injected at the origin by a source that is turned on at time t=0. When a diffusing atom collides with an …