Negative mobility, sliding and delocalization for stochastic networks

TL;DR

This paper investigates stochastic networks that show negative mobility, analyzing how disorder affects current thresholds and delocalization, with detailed spectral analysis of relaxation behaviors.

Contribution

It introduces a detailed analysis of negative mobility and delocalization effects in stochastic networks, considering the impact of disorder on bias thresholds and relaxation spectra.

Findings

Negative mobility can occur in stochastic networks under certain bias conditions.

Disorder influences the thresholds for sliding and anti-sliding transitions.

Delocalization manifests as a crossover from over-damped to under-damped relaxation.

Abstract

We consider prototype configurations for quasi-one-dimensional stochastic networks that exhibit negative mobility, meaning that current decreases or even reversed as the bias is increased. We then explore the implications of disorder. In particular we ask whether lower and upper bias thresholds restrict the possibility to witness non-zero current (sliding and anti-sliding transitions respectively), and whether a delocalization effect manifest itself (crossover from over-damped to under-damped relaxation). In the latter context detailed analysis of the relaxation spectrum as a function of the bias is provided for both on-chain and off-chain disorder.