Asymptotic densities of ballistic Levy walks
Froemberg D, Schmiedeberg M, Barkai E, Zaburdaev V (2015)
Publication Status: Published
Publication Type: Journal article
Publication year: 2015
Journal
Publisher: AMER PHYSICAL SOC
Book Volume: 91
Article Number: 022131
Journal Issue: 2
DOI: 10.1103/PhysRevE.91.022131
Abstract
We propose an analytical method to determine the shape of density profiles in the asymptotic long-time limit for a broad class of coupled continuous-time random walks which operate in the ballistic regime. In particular, we show that different scenarios of performing a random-walk step, via making an instantaneous jump penalized by a proper waiting time or via moving with a constant speed, dramatically effect the corresponding propagators, despite the fact that the end points of the steps are identical. Furthermore, if the speed during each step of the random walk is itself a random variable, its distribution gets clearly reflected in the asymptotic density of random walkers. These features are in contrast with more standard nonballistic random walks.
Authors with CRIS profile
Additional Organisation(s)
Involved external institutions
Bar-Ilan University
Israel (IL)
Max-Planck-Institut für Physik komplexer Systeme (MPI PKS) / Max Planck Institute for the Physics of Complex Systems
Germany (DE)
Heinrich-Heine-Universität Düsseldorf
Germany (DE)
Israel (IL)
Max-Planck-Institut für Physik komplexer Systeme (MPI PKS) / Max Planck Institute for the Physics of Complex Systems
Germany (DE)
Heinrich-Heine-Universität Düsseldorf
Germany (DE)
How to cite
APA:
Froemberg, D., Schmiedeberg, M., Barkai, E., & Zaburdaev, V. (2015). Asymptotic densities of ballistic Levy walks. Physical Review E, 91(2). https://dx.doi.org/10.1103/PhysRevE.91.022131
MLA:
Froemberg, D., et al. "Asymptotic densities of ballistic Levy walks." Physical Review E 91.2 (2015).
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