Levy flights in random searches

被引：177

作者：

Viswanathan, GM ^{[1
]}

Afanasyev, V

Buldyrev, SV

Havlin, S

da Luz, MGE

Raposo, EP

Stanley, HE

机构：

[1] Boston Univ, Ctr Polymer Studies, Boston, MA 02215 USA

[2] Univ Fed Alagoas, Dept Fis, BR-57072970 Maceio, AL, Brazil

[3] Boston Univ, Dept Phys, Boston, MA 02215 USA

[4] British Antarctic Survey, NERC, Cambridge CB3 0ET, England

[5] Bar Ilan Univ, Gonda Goldschmied Ctr, Ramat Gan, Israel

[6] Univ Fed Parana, Dept Fis, BR-81531990 Curitiba, Parana, Brazil

[7] Univ Fed Pernambuco, Dept Fis, Lab Fis Teor & Computac, BR-50670901 Recife, PE, Brazil

[8] Harvard Univ, Lyman Lab Phys, Cambridge, MA 02138 USA

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2000年 / 282卷 / 1-2期

基金：

美国国家卫生研究院; 美国国家科学基金会;

关键词：

D O I：

10.1016/S0378-4371(00)00071-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We review the general search problem of how to find randomly located objects that can only be detected in the limited vicinity of a forager, and discuss its quantitative description using the theory of random walks. We illustrate Levy flight foraging by comparison to Brownian random walks and discuss experimental observations of Levy flights in biological foraging. We review recent findings suggesting that an inverse square probability density distribution P(l) similar to l(-2) Of step lengths l can lead to optimal searches. Finally, we survey the explanations put forth to account for these unexpected findings. (C) 2000 Published by Elsevier Science B.V. All rights reserved.

引用

页码：1 / 12

页数：12

共 50 条

[1] Levy flights and random searches
Raposo, E. P.
Buldyrev, S. V.
da Luz, M. G. E.
Viswanathan, G. M.
Stanley, H. E.
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (43)
[2] Levy flights and superdiffusion in the context of biological encounters and random searches
Viswanathan, G. M.
Raposo, E. P.
da Luz, M. G. E.
[J]. PHYSICS OF LIFE REVIEWS, 2008, 5 (03) : 133 - 150
[3] LEVY FLIGHTS IN RANDOM-ENVIRONMENTS
FOGEDBY, HC
[J]. PHYSICAL REVIEW LETTERS, 1994, 73 (19) : 2517 - 2520
[4] Dynamical continuous time random Levy flights
Liu, Jian
Chen, Xiaosong
[J]. EUROPEAN PHYSICAL JOURNAL B, 2016, 89 (03):
[5] Levy flights in quenched random force fields
Fogedby, HC
[J]. PHYSICAL REVIEW E, 1998, 58 (02) : 1690 - 1712
[6] Levy flight random searches in biological phenomena
Viswanathan, GM
Bartumeus, F
Buldyrev, SV
Catalan, J
Fulco, UL
Havlin, S
da Luz, MGE
Lyra, ML
Raposo, EP
Stanley, HE
[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2002, 314 (1-4) : 208 - 213
[7] Asymmetric Levy Flights Are More Efficient in Random Search
Padash, Amin
Sandev, Trifce
Kantz, Holger
Metzler, Ralf
Chechkin, Aleksei, V
[J]. FRACTAL AND FRACTIONAL, 2022, 6 (05)
[8] RANDOM WALKS WITH BIVARIATE LEVY-STABLE JUMPS IN COMPARISON WITH LEVY FLIGHTS
Teuerle, Marek
Jurlewicz, Agnieszka
[J]. ACTA PHYSICA POLONICA B, 2009, 40 (05): : 1333 - 1340
[9] Expected maximum of bridge random walks & Levy flights
De Bruyne, Benjamin
Majumdar, Satya N.
Schehr, Gregory
[J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2021, 2021 (08):
[10] Levy flights in confining environments: Random paths and their statistics
Zaba, Mariusz
Garbaczewski, Piotr
Stephanovich, Vladimir
[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2013, 392 (17) : 3485 - 3496

← 1 2 3 4 5 →