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Irreversible reactions and diffusive escape: stationary properties

Irreversible reactions and diffusive escape: stationary properties

We study three basic diffusion-controlled reaction processes-annihilation, coalescence, and aggregation.We examine the evolution starting with the most natural inhomogeneous initial configuration where a half-line is uniformly filled by particles, while the complementary half-line is empty.We show that the total number of particles that infiltrate the initially empty half-line is finite …