Sample-Dependent Phase Transitions in Disordered Exclusion Models

TL;DR

This paper provides numerical evidence that in a disordered exclusion process, the phase transition point varies depending on the specific disorder sample, indicating sample dependence.

Contribution

It demonstrates that quenched disorder causes the first order phase transition location to become sample dependent in a one-dimensional exclusion model.

Findings

Phase transition location varies with disorder samples.

Sample dependence emerges in the presence of quenched disorder.

Numerical evidence supports the sample-dependent transition hypothesis.

Abstract

We give numerical evidence that the location of the first order phase transition between the low and the high density phases of the one dimensional asymmetric simple exclusion process with open boundaries becomes sample dependent when quenched disorder is introduced for the hopping rates.