Multifractal spectra of mean first-passage time distributions in disordered chains

TL;DR

This paper investigates the multifractal nature of mean first-passage time distributions in disordered chains, revealing that multifractality arises only under anomalous diffusion conditions across different boundary types and disorder models.

Contribution

It clarifies the origin of multifractality in mean first-passage times and compares two disorder models, emphasizing the role of anomalous diffusion.

Findings

Multifractality appears only with anomalous diffusion.

Different boundary conditions influence the multifractal spectra.

Comparison of two disorder models elucidates the origin of multifractality.

Abstract

The multifractal characterization of the distribution over disorder of the mean first-passage time in a finite chain is revisited. Both, absorbing-absorbing and reflecting-absorbing boundaries are considered. Two models of dichotomic disorder are compared and our analysis clarifies the origin of the multifractality. The phenomenon is only present when the diffusion is anomalous.