Universality in disordered systems: The case of the three-dimensional random-bond Ising model

TL;DR

This study uses Monte Carlo simulations to demonstrate that the three-dimensional random-bond Ising model shares the same universality class as other disordered models, distinct from the pure system, confirming universality in disordered systems.

Contribution

It provides comprehensive evidence that the critical behavior of the 3D random-bond Ising model aligns with other disordered models, establishing universality in such systems.

Findings

Critical behavior matches other disordered models

Distinct from pure Ising model

Universality class confirmed for disordered systems

Abstract

We study the critical behavior of the $d=3$ Ising model with bond randomness through extensive Monte Carlo simulations and finite-size scaling techniques. Our results indicate that the critical behavior of the random-bond model is governed by the same universality class as the site- and bond-diluted models, clearly distinct from that of the pure model, thus providing a complete set of universality in disordered systems.