Three-dimensional Ising model confined in low-porosity aerogels: a Monte Carlo study

TL;DR

This study uses Monte Carlo simulations to investigate how correlated impurities in low-porosity aerogels affect the critical behavior of the 3D Ising model, revealing that long-range correlations do not alter critical exponents.

Contribution

It provides the first detailed Monte Carlo analysis of the 3D Ising model confined in correlated disordered environments like aerogels.

Findings

Long-range correlated disorder does not change critical behavior.

Asymptotic exponents differ from pure 3D Ising model.

Results are indistinguishable from randomly diluted Ising model within precision.

Abstract

The influence of correlated impurities on the critical behaviour of the 3D Ising model is studied using Monte Carlo simulations. Spins are confined into the pores of simulated aerogels (diffusion limited cluster-cluster aggregation) in order to study the effect of quenched disorder on the critical behaviour of this magnetic system. Finite size scaling is used to estimate critical couplings and exponents. Long-range correlated disorder does not affect critical behavior. Asymptotic exponents differ from those of the pure 3D Ising model (3DIS), but it is impossible, with our precision, to distinguish them from the randomly diluted Ising model (RDIS).