Self-averaging of random and thermally disordered diluted Ising systems

TL;DR

This study uses Monte Carlo simulations to analyze how self-averaging properties of critical thermodynamic quantities vary in three-dimensional diluted Ising systems with different types of disorder, revealing enhanced self-averaging at critical thermal dilution.

Contribution

It demonstrates that critical thermal dilution significantly improves self-averaging compared to random dilution in 3D Ising systems.

Findings

Enhanced self-averaging for critically thermally diluted systems.

Maximum self-averaging occurs when vacancy ordering temperature equals magnetic critical temperature.

High ordering temperature yields self-averaging similar to random dilution.

Abstract

Self-averaging of singular thermodynamic quantities at criticality for randomly and thermally diluted three dimensional Ising systems has been studied by the Monte Carlo approach. Substantially improved self-averaging is obtained for critically clustered (critically thermally diluted) vacancy distributions in comparison with the observed self-averaging for purely random diluted distributions. Critically thermal dilution, leading to maximum relative self-averaging, corresponds to the case when the characteristic vacancy ordering temperature is made equal to the magnetic critical temperature for the pure 3D Ising systems. For the case of a high ordering temperature, the self-averaging obtained is comparable to that in a randomly diluted system.