The effects of external noise on threshold induced correlations in ferromagnetic systems

TL;DR

This study examines how external noise and detection thresholds influence the analysis of avalanche dynamics in ferromagnetic systems modeled by a nonequilibrium Ising model, revealing their effects on scaling exponents and waiting time distributions.

Contribution

It provides a detailed numerical investigation of how external noise and detection thresholds alter avalanche statistics in a nonequilibrium ferromagnetic model, highlighting their impact on key scaling properties.

Findings

External noise affects the scaling exponent $oldsymbol{eta_{S/T}}$.

Detection thresholds influence the observed waiting time distributions.

Noise and thresholds modify the collapse behavior of avalanche statistics.

Abstract

In the present paper we investigate the impact of the external noise and detection threshold level on the simulation data for the systems that evolve through metastable states. As a representative model of such systems we chose the nonequilibrium athermal random field Ising model with two types of the external noise, uniform white noise and Gaussian white noise with various different standard deviations, imposed on the original response signal obtained in model simulations. We applied a wide range of detection threshold levels in analysis of the signal and show how these quantities affect the values of exponent $\gamma_{S/T}$ (describing the scaling of the average avalanche size with duration), the shift of waiting time between the avalanches, and finally the collapses of the waiting time distributions. The results are obtained via extensive numerical simulations on the equilateral three-dimensional cubic lattices of various sizes and disorders.