Levy walks
Zaburdaev V, Denisov S, Klafter J (2015)
Publication Status: Published
Publication Type: Journal article
Publication year: 2015
Journal
Publisher: AMER PHYSICAL SOC
Book Volume: 87
Pages Range: 483-530
Journal Issue: 2
DOI: 10.1103/RevModPhys.87.483
Abstract
Random walk is a fundamental concept with applications ranging from quantum physics to econometrics. Remarkably, one specific model of random walks appears to be ubiquitous across many fields as a tool to analyze transport phenomena in which the dispersal process is faster than dictated by Brownian diffusion. The Levy-walk model combines two key features, the ability to generate anomalously fast diffusion and a finite velocity of a random walker. Recent results in optics, Hamiltonian chaos, cold atom dynamics, biophysics, and behavioral science demonstrate that this particular type of random walk provides significant insight into complex transport phenomena. This review gives a self-consistent introduction to Levy walks, surveys their existing applications, including latest advances, and outlines further perspectives.
Authors with CRIS profile
Additional Organisation(s)
Involved external institutions
Tel Aviv University
Israel (IL)
Max-Planck-Institut für Physik komplexer Systeme (MPI PKS) / Max Planck Institute for the Physics of Complex Systems
Germany (DE)
Universität Augsburg
Germany (DE)
Israel (IL)
Max-Planck-Institut für Physik komplexer Systeme (MPI PKS) / Max Planck Institute for the Physics of Complex Systems
Germany (DE)
Universität Augsburg
Germany (DE)
How to cite
APA:
Zaburdaev, V., Denisov, S., & Klafter, J. (2015). Levy walks. Reviews of Modern Physics, 87(2), 483-530. https://dx.doi.org/10.1103/RevModPhys.87.483
MLA:
Zaburdaev, Vasily, Sergey Denisov, and J. Klafter. "Levy walks." Reviews of Modern Physics 87.2 (2015): 483-530.
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