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- W2054017432 startingPage "P06022" @default.
- W2054017432 abstract "In this paper we study some aspects of search for an immobile target by a swarm of N non-communicating, randomly moving searchers (numbered by the index k, k = 1, 2,..., N), which all start their random motion simultaneously at the same point in space. For each realization of the search process, we record the unordered set of time moments {tau_k}, where tau_k is the time of the first passage of the k-th searcher to the location of the target. Clearly, tau_k's are independent, identically distributed random variables with the same distribution function Psi(tau). We evaluate then the distribution P(omega) of the random variable omega sim tau_1/bar{tau}, where bar{tau} = N^{-1} sum_{k=1}^N tau_k is the ensemble-averaged realization-dependent first passage time. We show that P(omega) exhibits quite a non-trivial and sometimes a counterintuitive behaviour. We demonstrate that in some well-studied cases e.g., Brownian motion in finite d-dimensional domains) the textit{mean} first passage time is not a robust measure of the search efficiency, despite the fact that Psi(tau) has moments of arbitrary order. This implies, in particular, that even in this simplest case (not saying about complex systems and/or anomalous diffusion) first passage data extracted from a single particle tracking should be regarded with an appropriate caution because of the significant sample-to-sample fluctuations." @default.
- W2054017432 created "2016-06-24" @default.
- W2054017432 creator A5002490015 @default.
- W2054017432 creator A5011751010 @default.
- W2054017432 creator A5012513905 @default.
- W2054017432 date "2011-06-30" @default.
- W2054017432 modified "2023-09-25" @default.
- W2054017432 title "First passages for a search by a swarm of independent random searchers" @default.
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- W2054017432 doi "https://doi.org/10.1088/1742-5468/2011/06/p06022" @default.
- W2054017432 hasPublicationYear "2011" @default.
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