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  Asymptotic densities of ballistic Levy walks

Froemberg, D., Schmiedeberg, M., Barkai, E., & Zaburdaev, V. (2015). Asymptotic densities of ballistic Levy walks. Physical Review E, 91(2): 022131. doi:10.1103/PhysRevE.91.022131.

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 Creators:
Froemberg, D.1, Author
Schmiedeberg, M.1, Author
Barkai, E.1, Author
Zaburdaev, Vasily2, 3, Author              
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1external, ou_persistent22              
2External Organizations, ou_persistent22              
3Max Planck Institute for the Physics of Complex Systems, ou_persistent22              

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 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.

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Language(s): eng - English
 Dates: 2015-02-20
 Publication Status: Published online
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 Table of Contents: -
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Title: Physical Review E
Source Genre: Journal
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Publ. Info: American Physical Society
Pages: - Volume / Issue: 91 (2) Sequence Number: 022131 Start / End Page: - Identifier: ISSN: 1539-3755