PMID: 12786061Jun 6, 2003Paper

Lévy flights in inhomogeneous media

Physical Review Letters
D Brockmann, T Geisel

Abstract

We investigate the impact of external periodic potentials on superdiffusive random walks known as Lévy flights and show that even strongly superdiffusive transport is substantially affected by the external field. Unlike ordinary random walks, Lévy flights are surprisingly sensitive to the shape of the potential while their asymptotic behavior ceases to depend on the Lévy index mu. Our analysis is based on a novel generalization of the Fokker-Planck equation suitable for systems in thermal equilibrium. Thus, the results presented are applicable to the large class of situations in which superdiffusion is caused by topological complexity, such as diffusion on folded polymers and scale-free networks.

References

Feb 18, 1985·Physical Review Letters·T GeiselA Zacherl
Nov 30, 1999·Nature·G M ViswanathanH E Stanley
Mar 10, 2001·Nature·A La PortaE Bodenschatz

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Citations

Apr 10, 2008·The Journal of Chemical Physics·P Süle
Dec 18, 2013·Science·Dirk Brockmann, Dirk Helbing
Sep 28, 2004·Chaos·Juan Luis Cabrera, John G Milton
Jan 26, 2017·Scientific Reports·Antonio Piscitelli, Massimo Pica Ciamarra
Jan 27, 2006·Nature·D BrockmannT Geisel
Jun 16, 2015·Journal of Statistical Physics·Dirk HelbingMatjaž Perc
Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A M LacastaK Lindenberg
May 21, 2005·Physical Review Letters·Yann GambinWladimir Urbach
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Vicenç Méndez, Vicente Ortega-Cejas
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·T Srokowski, A Kamińska
Mar 5, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ihor LubashevskyAndreas Heuer
Jun 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tomasz Srokowski
Aug 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Piotr Garbaczewski, Vladimir Stephanovich
Apr 3, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tomasz Srokowski
Aug 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ingo HomrighausenErwin Frey
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·T Srokowski
Jun 13, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tomasz Srokowski
Jul 18, 2018·Physical Review. E·A Kamińska, T Srokowski
Feb 20, 2019·Physical Review. E·Yao ChenWeihua Deng
Apr 28, 2020·Physical Review Letters·Asaf Miron
Jun 13, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Aljaž Godec, Ralf Metzler
Feb 25, 2020·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Perry Zurn, Danielle S Bassett
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G M ViswanathanM G E da Luz
Jun 28, 2011·Physical Review Letters·Q XuP M Chaikin
Oct 4, 2003·Physical Review Letters·Jing-Dong Bao, Yi-Zhong Zhuo
Oct 30, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Raffaella BurioniAlessandro Vezzani
Sep 26, 2012·Physical Review Letters·Nicholas BlummAlbert-László Barabási
Mar 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jing-Dong Bao
Apr 20, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M CoppeyG Oshanin
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tomasz Srokowski
Aug 9, 2003·Physical Review Letters·D Brockmann, T Geisel
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A Iomin, E Baskin
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tomasz Srokowski
Nov 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Piotr Garbaczewski, Vladimir Stephanovich
Nov 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ihor LubashevskyAndreas Heuer
Apr 4, 2021·Scientific Reports·Robert B MannAgus Suroso

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