L\'evy Statistics and Anomalous Transport: L\'evy flights and Subdiffusion

TL;DR

This paper discusses Levy flights and subdiffusive processes, deriving fractional transport equations and analyzing their solutions in external potentials, providing insights into anomalous transport phenomena.

Contribution

It introduces derived space- and time-fractional transport equations for Levy flights and subdiffusion, and explores their solutions in external potentials, advancing understanding of anomalous transport.

Findings

Derived fractional transport equations for Levy flights and subdiffusion.

Analyzed solutions of these equations in external potentials.

Provided comprehensive references on the topic.

Abstract

Levy flights and subdiffusive processes and their properties are discussed. We derive the space- and time-fractional transport equations, and consider their solutions in external potentials. An extensive list of references is included.