Normal and Anomalous Transport across an Interface: Monte Carlo and Analytical Approach

TL;DR

This paper explores particle transport across an interface between two media using Monte Carlo simulations and analytical models based on fractional derivatives, comparing normal and anomalous diffusion behaviors.

Contribution

It introduces a combined Monte Carlo and fractional derivative analytical approach to study interface transport, highlighting differences between normal and anomalous diffusion.

Findings

Analytical and Monte Carlo models show consistent results.

Anomalous diffusion exhibits distinct interface crossing behaviors.

Normal diffusion results align with classical expectations.

Abstract

In this paper we investigate the behavior of particles crossing a neat interface between two media. A Monte Carlo and analytical model, based on fractional derivatives, are presented and discussed in detail, together with a comparison. Anomalous and normal diffusion are consdered.