Non-Gaussianity in stochastic transport: phenomenology and modelling

TL;DR

This paper explores the phenomenon of non-Gaussian displacement distributions in diffusive systems, introducing stochastic models for 'Brownian yet non-Gaussian' diffusion and addressing anomalous diffusion with non-Gaussian features.

Contribution

It presents new stochastic models to explain non-Gaussian diffusion phenomena and discusses their relevance to anomalous diffusion systems.

Findings

Identification of stochastic models for non-Gaussian diffusion

Explanation of 'Brownian yet non-Gaussian' behavior

Discussion of non-Gaussian anomalous diffusion

Abstract

Non-Gaussian shapes, despite a linear form of the mean-squared displacement, have been observed for the displacement distribution in a large range of diffusive systems. Stochastic models for such "Brownian yet non-Gaussian" diffusion will be introduced and discussed. Systems with non-Gaussian, anomalous diffusion will also be addressed.