Superdiffusive Dispersals Impart the Geometry of Underlying Random Walks

V. Zaburdaev; I. Fouxon; S. Denisov; E. Barkai

doi:10.1103/PhysRevLett.117.270601

Superdiffusive Dispersals Impart the Geometry of Underlying Random Walks

V. Zaburdaev, I. Fouxon, S. Denisov, E. Barkai

Department of Physics

Research output: Contribution to journal › Article › peer-review

31 Scopus citations

Abstract

It is recognized now that a variety of real-life phenomena ranging from diffusion of cold atoms to the motion of humans exhibit dispersal faster than normal diffusion. Lévy walks is a model that excelled in describing such superdiffusive behaviors albeit in one dimension. Here we show that, in contrast to standard random walks, the microscopic geometry of planar superdiffusive Lévy walks is imprinted in the asymptotic distribution of the walkers. The geometry of the underlying walk can be inferred from trajectories of the walkers by calculating the analogue of the Pearson coefficient.

Original language	English
Article number	270601
Journal	Physical Review Letters
Volume	117
Issue number	27
DOIs	https://doi.org/10.1103/PhysRevLett.117.270601
State	Published - 30 Dec 2016

Bibliographical note

Publisher Copyright:
© 2016 American Physical Society.

Funding

This work was supported by the Russian Science Foundation Grant No.16-12-10496 (V.Z. and S.D.). I.F. and E.B. acknowledge support by the Israel Science Foundation.

Funders	Funder number
Israel Science Foundation
Russian Science Foundation

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10.1103/PhysRevLett.117.270601

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Superdiffusive Dispersals Impart the Geometry of Underlying Random Walks

Abstract

Bibliographical note

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