Open AccessLevy Swimmer In An Asymmetric Channel
Author(s) -
Maryam Fathian
Publication year - 2020
Language(s) - English
DOI - 10.47363/jnsrr/2020(2)106
Subject(s) - channel (broadcasting) , lévy flight , square (algebra) , statistical physics , power law , distribution (mathematics) , mathematics , lévy distribution , dynamics (music) , mechanics , geometry , physics , mathematical analysis , statistics , computer science , probability distribution , telecommunications , random walk , acoustics
In this article, we numerically study the dynamics of a model Levy walker, moving in a 2 dimensional medium confined by the walls of an asymmetric channel. We show that, as a result of both asymmetric potential due to the channel and also the power law step size distribution, the Levy walker will achieve a net directed velocity in the direction preferred by the channel. Other statistical properties of the walker such as mean first passage time and the mean square displacements are also examined