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Competition of many searchers
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First passage times (FPTs) are often used to study timescales in physical, chemical, and biological processes. FPTs generically describe the time it takes a random "searcher" to find a "target." In many systems, the important timescale is not the time it takes a single searcher to find a target, but rather the time it takes the fastest searcher out of many searchers to find a target. Such fastest FPTs or extreme FPTs result from many searchers competing to find the target and differ markedly from FPTs of single searchers. In this chapter, we review recent results on fastest FPTs. We show how fastest FPTs depend on the mode of stochastic search (including search by diffusion, subdiffusion, superdiffusion, and discrete jumps), the initial searcher distribution, and properties of the spatial domain.
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Cited by 1 Pith paper
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Extreme First-Passage Time of Many Interacting Particles
For many interacting Brownian searchers, bounded interactions cannot beat the independent 1/ln N fastest-search time, while coherent pushes and random pairwise kicks can reach 1/N and 1/(N ln N), respectively.
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