Weak universality in the two dimensional randomly disordered three-state Potts ferromagnet

TL;DR

This study numerically investigates the critical behavior of a disordered 2D three-state Potts model, revealing that the exponent η remains constant while ν and γ vary with disorder strength.

Contribution

It demonstrates that in the disordered 2D three-state Potts model, η is universal and unaffected by disorder, unlike ν and γ which change continuously.

Findings

η remains unchanged with disorder

ν and γ increase with disorder

discusses implications of these critical exponent behaviors

Abstract

For the two dimensional randomly disordered three-state Potts ferromagnet, we find numerically that the critical exponent $\eta$ unchanges with the degree of disorder while those of the correlation length ($\nu$) and magnetic susceptibility ($\gamma$) increase with it continuously. We discuss some consequences of the finding.