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From single-particle stochastic kinetics to macroscopic reaction rates: fastest first-passage time of N random walkers
We consider the first-passage problem for $N$ identical independent particles that are initially released uniformly in a finite domain $\Omega$ and then diffuse toward a reactive area $\Gamma$, which can be part of the outer boundary of $\Omega$ or a reaction centre in the interior of $\Omega$. For both cases …