Help Privacy Policy Disclaimer
  Advanced SearchBrowse




Journal Article

Asymptotic densities of ballistic Levy walks

There are no MPG-Authors in the publication available
External Resource
No external resources are shared
Fulltext (public)
There are no public fulltexts stored in PuRe
Supplementary Material (public)
There is no public supplementary material available

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.

Cite as: http://hdl.handle.net/21.11116/0000-0007-E730-E
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.