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Search reliability and search efficiency of combined Lévy-Brownian motion: Long relocations mingled with thorough local exploration

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Standard

Search reliability and search efficiency of combined Lévy-Brownian motion : Long relocations mingled with thorough local exploration. / Palyulin, Vladimir V.; Chechkin, Aleksei V.; Klages, Rainer; Metzler, Ralf.

julkaisussa: Journal of Physics A: Mathematical and Theoretical, Vuosikerta 49, Nro 39, 394002, 08.09.2016.

Tutkimustuotosvertaisarvioitu

Harvard

Palyulin, VV, Chechkin, AV, Klages, R & Metzler, R 2016, 'Search reliability and search efficiency of combined Lévy-Brownian motion: Long relocations mingled with thorough local exploration', Journal of Physics A: Mathematical and Theoretical, Vuosikerta. 49, Nro 39, 394002. https://doi.org/10.1088/1751-8113/49/39/394002

APA

Palyulin, V. V., Chechkin, A. V., Klages, R., & Metzler, R. (2016). Search reliability and search efficiency of combined Lévy-Brownian motion: Long relocations mingled with thorough local exploration. Journal of Physics A: Mathematical and Theoretical, 49(39), [394002]. https://doi.org/10.1088/1751-8113/49/39/394002

Vancouver

Palyulin VV, Chechkin AV, Klages R, Metzler R. Search reliability and search efficiency of combined Lévy-Brownian motion: Long relocations mingled with thorough local exploration. Journal of Physics A: Mathematical and Theoretical. 2016 syys 8;49(39). 394002. https://doi.org/10.1088/1751-8113/49/39/394002

Author

Palyulin, Vladimir V. ; Chechkin, Aleksei V. ; Klages, Rainer ; Metzler, Ralf. / Search reliability and search efficiency of combined Lévy-Brownian motion : Long relocations mingled with thorough local exploration. Julkaisussa: Journal of Physics A: Mathematical and Theoretical. 2016 ; Vuosikerta 49, Nro 39.

Bibtex - Lataa

@article{95c91c798bc64e3b9908f6ca725998f0,
title = "Search reliability and search efficiency of combined L{\'e}vy-Brownian motion: Long relocations mingled with thorough local exploration",
abstract = "A combined dynamics consisting of Brownian motion and L{\'e}vy flights is exhibited by a variety of biological systems performing search processes. Assessing the search reliability of ever locating the target and the search efficiency of doing so economically of such dynamics thus poses an important problem. Here we model this dynamics by a one-dimensional fractional Fokker-Planck equation combining unbiased Brownian motion and L{\'e}vy flights. By solving this equation both analytically and numerically we show that the superposition of recurrent Brownian motion and L{\'e}vy flights with stable exponent α <1, by itself implying zero probability of hitting a point on a line, leads to transient motion with finite probability of hitting any point on the line. We present results for the exact dependence of the values of both the search reliability and the search efficiency on the distance between the starting and target positions as well as the choice of the scaling exponent α of the L{\'e}vy flight component.",
keywords = "Brownian motion, first arrival, first passage, L{\'e}vy flights, random search process",
author = "Palyulin, {Vladimir V.} and Chechkin, {Aleksei V.} and Rainer Klages and Ralf Metzler",
year = "2016",
month = "9",
day = "8",
doi = "10.1088/1751-8113/49/39/394002",
language = "English",
volume = "49",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing",
number = "39",

}

RIS (suitable for import to EndNote) - Lataa

TY - JOUR

T1 - Search reliability and search efficiency of combined Lévy-Brownian motion

T2 - Long relocations mingled with thorough local exploration

AU - Palyulin, Vladimir V.

AU - Chechkin, Aleksei V.

AU - Klages, Rainer

AU - Metzler, Ralf

PY - 2016/9/8

Y1 - 2016/9/8

N2 - A combined dynamics consisting of Brownian motion and Lévy flights is exhibited by a variety of biological systems performing search processes. Assessing the search reliability of ever locating the target and the search efficiency of doing so economically of such dynamics thus poses an important problem. Here we model this dynamics by a one-dimensional fractional Fokker-Planck equation combining unbiased Brownian motion and Lévy flights. By solving this equation both analytically and numerically we show that the superposition of recurrent Brownian motion and Lévy flights with stable exponent α <1, by itself implying zero probability of hitting a point on a line, leads to transient motion with finite probability of hitting any point on the line. We present results for the exact dependence of the values of both the search reliability and the search efficiency on the distance between the starting and target positions as well as the choice of the scaling exponent α of the Lévy flight component.

AB - A combined dynamics consisting of Brownian motion and Lévy flights is exhibited by a variety of biological systems performing search processes. Assessing the search reliability of ever locating the target and the search efficiency of doing so economically of such dynamics thus poses an important problem. Here we model this dynamics by a one-dimensional fractional Fokker-Planck equation combining unbiased Brownian motion and Lévy flights. By solving this equation both analytically and numerically we show that the superposition of recurrent Brownian motion and Lévy flights with stable exponent α <1, by itself implying zero probability of hitting a point on a line, leads to transient motion with finite probability of hitting any point on the line. We present results for the exact dependence of the values of both the search reliability and the search efficiency on the distance between the starting and target positions as well as the choice of the scaling exponent α of the Lévy flight component.

KW - Brownian motion

KW - first arrival

KW - first passage

KW - Lévy flights

KW - random search process

UR - http://www.scopus.com/inward/record.url?scp=84989172145&partnerID=8YFLogxK

U2 - 10.1088/1751-8113/49/39/394002

DO - 10.1088/1751-8113/49/39/394002

M3 - Article

VL - 49

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 39

M1 - 394002

ER -