Universality in the off-equilibrium critical dynamics of the $3d$ diluted Ising model

TL;DR

This paper investigates the off-equilibrium critical dynamics of the 3D diluted Ising model, focusing on the dynamical critical exponent and its independence from dilution when considering scaling corrections, with comparisons to experimental data.

Contribution

It demonstrates that the dynamical critical exponent is dilution-independent when scaling corrections are included, providing new insights into the universality of off-equilibrium dynamics.

Findings

The dynamical critical exponent $z$ is independent of dilution with scaling corrections.

Scaling corrections are essential to observe universality in off-equilibrium dynamics.

Results align with experimental data, supporting theoretical predictions.

Abstract

We study the off-equilibrium critical dynamics of the three dimensional diluted Ising model. We compute the dynamical critical exponent $z$ and we show that it is independent of the dilution only when we take into account the scaling-corrections to the dynamics. Finally we will compare our results with the experimental data.