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• W3102948419 endingPage "103004" @default.
• W3102948419 startingPage "103004" @default.
• W3102948419 abstract "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 of perfect and partial reactions, we obtain the explicit formulas for the first two moments of the fastest first-passage time (fFPT), i.e., the time when the first out of the $N$ particles reacts with $Gamma$. Moreover, we investigate the full probability density of the fFPT. We discuss a significant role of the initial condition in the scaling of the average fastest first-passage time with the particle number $N$, namely, a much stronger dependence ($1/N$ and $1/N^2$ for partially and perfectly reactive targets, respectively), in contrast to the well known inverse-logarithmic behaviour found when all particles are released from the same fixed point. We combine analytic solutions with scaling arguments and stochastic simulations to rationalise our results, which open new perspectives for studying the relevance of multiple searchers in various situations of molecular reactions, in particular, in living cells." @default.
• W3102948419 created "2020-11-23" @default.
• W3102948419 creator A5002490015 @default.
• W3102948419 creator A5044662930 @default.
• W3102948419 creator A5077899527 @default.
• W3102948419 date "2020-10-01" @default.
• W3102948419 modified "2023-10-12" @default.
• W3102948419 title "From single-particle stochastic kinetics to macroscopic reaction rates: fastest first-passage time of N random walkers" @default.
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