Comment on "Mean First Passage Time for Anomalous Diffusion"

TL;DR

This paper corrects a previous calculation of the mean first passage time for a subdiffusive process, demonstrating that it is actually infinite, which has implications for understanding anomalous diffusion behaviors.

Contribution

It provides a correction to earlier work by showing the mean first passage time for subdiffusion is infinite, clarifying a key aspect of anomalous diffusion theory.

Findings

Mean first passage time for subdiffusion is infinite

Previous calculations were erroneous

Impacts understanding of anomalous diffusion processes

Abstract

We correct a previously erroneous calculation [Phys. Rev. E 62, 6065 (2000)] of the mean first passage time of a subdiffusive process to reach either end of a finite interval in one dimension. The mean first passage time is in fact infinite.