Berlin 2008 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 4: Brownian motion and transport

DY 4.5: Talk

Monday, February 25, 2008, 15:15–15:30, MA 004

Random walks with random velocities — •Vasily Zaburdaev, Michael Schmiedeberg, and Holger Stark — Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, D-10623 Berlin, Germany

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. Despite the obvious importance and potential applications, such a model has not been considered before. 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. Theoretical results of this work are in excellent agreement with accompanying numerical simulations.