About: Search efficiency of fractional Brownian motion in a random distribution of targets

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type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
title	Search efficiency of fractional Brownian motion in a random distribution of targets
Creator	Khadem, J Klages, Rainer Klapp, Sabine Mohsen, S
source	ArXiv
abstract	Efficiency of search for randomly distributed targets is a prominent problem in many branches of the sciences. For the stochastic process of L/'evy walks, a specific range of optimal efficiencies was suggested under variation of search intrinsic and extrinsic environmental parameters. In this article, we study fractional Brownian motion as a search process, which under parameter variation generates all three basic types of diffusion, from sub- to normal to superdiffusion. In contrast to L/'evy walks, fractional Brownian motion defines a Gaussian stochastic process with power law memory yielding anti-persistent, respectively persistent motion. Computer simulations of this search process in a uniformly random distribution of targets show that maximising search efficiencies sensitively depends on the definition of efficiency, the variation of both intrinsic and extrinsic parameters, the perception of targets, the type of targets, whether to detect only one or many of them, and the choice of boundary conditions. We find that different search scenarios favour different modes of motion for optimising search success, defying a universality across all search situations. Some of our results are explained by a simple analytical model. Having demonstrated that search by fractional Brownian motion is a truly complex process, we propose an over-arching conceptual framework based on classifying different search scenarios. This approach incorporates search optimisation by L/'evy walks as a special case.
has issue date	2020-07-15(xsd:dateTime)
has license	arxiv
sha1sum (hex)	4f0afb1ec5dd0daa4a1fa06cb66d96de33a9f9f9
resource representing a document's title	Search efficiency of fractional Brownian motion in a random distribution of targets
resource representing a document's body	covid:4f0afb1ec5dd0daa4a1fa06cb66d96de33a9f9f9#body_text
is schema:about of	named entity 'REF' named entity 'PROCESS' named entity 'PERSISTENT' named entity 'PROMINENT' named entity 'OUR' »more»

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