Random walks with random velocities

Zaburdaev V, Schmiedeberg M, Stark H (2008)

Publication Status: Published

Publication Type: Journal article

Publication year: 2008

Journal

Physical Review E American Physical Society

Publisher: AMER PHYSICAL SOC

Book Volume: 78

Journal Issue: 1

DOI: 10.1103/PhysRevE.78.011119

Abstract

We consider a random walk model that takes into account the velocity distribution of random walkers. Random motion with alternating velocities is inherent to various physical and biological systems. Moreover, the velocity distribution is often the first characteristic that is experimentally accessible. Here, we derive transport equations describing the dispersal process in the model and solve them analytically. The asymptotic properties of solutions are presented in the form of a phase diagram that shows all possible scaling regimes, including superdiffusive, ballistic, and superballistic motion. The theoretical results of this work are in excellent agreement with accompanying numerical simulations.

Authors with CRIS profile

Vasily Zaburdaev
Michael Schmiedeberg Professur für Theoretische Physik

Additional Organisation(s)

Lehrstuhl für Mathematik in den Lebenswissenschaften

Involved external institutions

Technische Universität Berlin DE Germany (DE)

How to cite

APA:

Zaburdaev, V., Schmiedeberg, M., & Stark, H. (2008). Random walks with random velocities. Physical Review E, 78(1). https://dx.doi.org/10.1103/PhysRevE.78.011119

MLA:

Zaburdaev, Vasily, Michael Schmiedeberg, and Holger Stark. "Random walks with random velocities." Physical Review E 78.1 (2008).

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