Anomalous biased diffusion in a randomly layered medium
S. I. Denisov (1, 2), H. Kantz (1) ((1) Max Planck Institute for, the Physics of Complex Systems, Germany, (2) Sumy State University, Ukraine)
TL;DR
This paper analytically investigates how particles under constant force diffuse anomalously in a randomly layered medium, revealing how medium randomness influences long-term particle behavior.
Contribution
It provides new analytical results on biased diffusion in layered media, including conditions for anomalous diffusion and the dependence on particle mass and force distribution.
Findings
Derived diffusion laws for biased particles in layered media
Identified conditions leading to anomalous diffusion
Analyzed the impact of particle mass and force distribution on diffusion behavior
Abstract
We present analytical results for the biased diffusion of particles moving under a constant force in a randomly layered medium. The influence of this medium on the particle dynamics is modeled by a piecewise constant random force. The long-time behavior of the particle position is studied in the frame of a continuous-time random walk on a semi-infinite one-dimensional lattice. We formulate the conditions for anomalous diffusion, derive the diffusion laws and analyze their dependence on the particle mass and the distribution of the random force.
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