Effect of Dilution on First Order Transitions: The Three Dimensional Three States Potts Model

TL;DR

This study numerically investigates how quenched site dilution influences the nature of first order phase transitions in the three-dimensional three-state Potts model, revealing critical exponent behavior similar to the diluted Ising model.

Contribution

It provides detailed numerical analysis of the diluted three-state Potts model, highlighting the change in critical exponents and phase transition characteristics due to site dilution.

Findings

The $ u$ exponent matches that of the 3D diluted Ising model.

The $ ext{eta}$ exponent differs significantly from the Ising model.

Dilution affects the order of the phase transition.

Abstract

We have studied numerically the effect of quenched site dilution on a first order phase transition in three dimensions. We have simulated the site diluted three states Potts model studying in detail the second order region of its phase diagram. We have found that the $\nu$ exponent is compatible with the one of the three dimensional diluted Ising model whereas the $\eta$ exponent is definitely different.