Softening of Phase Transition in 2D Potts Model Under Quenched Bond Randomness

TL;DR

This study uses cluster algorithms to simulate the 2D q=8 Potts model with quenched bond randomness, revealing a finite-size-dependent threshold for transition rounding that diminishes with larger system sizes.

Contribution

It demonstrates the existence of a size-dependent threshold of quenched randomness that softens the first-order phase transition in the 2D Potts model.

Findings

Finite size-dependent threshold for transition rounding

Threshold decreases as system size increases

Quenched randomness softens the phase transition

Abstract

We have simulated, by using cluster algorithm, the $q=8$ state Potts model in two-dimension with varying amount of quenched bond randomness. We have shown that there exist a finite size dependent threshold value of the introduced quenched bond randomness for rounding the first-order phase transition and this threshold value becomes smaller as the system size increased.