Multi-Gaussian modes of diffusion in a quenched random medium

TL;DR

This paper investigates a random walk model in a quenched random environment, revealing multi-Gaussian structures in particle density under certain conditions, which has implications for experimental observations of anomalous diffusion.

Contribution

It introduces the concept of multi-Gaussian modes in diffusion within quenched random media and explains their origin and significance.

Findings

Particle density decomposes into multi-Gaussian structures in specific regimes.

Cumulative distribution remains normal despite complex density structure.

The observed phenomena have experimental relevance.

Abstract

We have studied a model of a random walk in a quenched random environment. In addition to featuring anomalous diffusion and localization, for special regimes of disorder parameters the particle density decomposes into multi-Gaussian structure while its cumulative distribution is normal. We explain the observed fine structure of the density and point out its significance to experiments.