Finite-temperature avalanches in 2D disordered Ising models

TL;DR

This paper investigates finite-temperature avalanches in 2D disordered Ising models, revealing power-law distributions of Barkhausen noise and the impact of defects on critical behavior, aligning with experimental observations.

Contribution

It provides a detailed analysis of avalanche statistics at finite temperatures in disordered Ising models, including the effects of quenched defects and universality classes.

Findings

Power-law distributions span five decades with temperature-dependent exponents.

Defects induce critical responses with a universal critical exponent of 1.

Results align with experimental measurements of Barkhausen noise.

Abstract

We study the qualitative and quantitative properties of the Barkhausen noise emerging at finite temperatures in random Ising models. The random-bond Ising Model is studied with a Wolff cluster Monte-Carlo algorithm to monitor the avalanches generated by an external driving magnetic field. Satisfactory power-law distributions are found which expand over five decades, with a temperature-dependent critical exponent which matches the existing experimental measurements. We also focus on a Ising system in which a finite fraction of defects is quenched. Also the presence of defects proves able to induce a critical response to a slowly oscillating magnetic field, though in this case the critical exponent associated with the distributions obtained with different defect fractions and temperatures seems to belong to the same universality class, with a critical exponent equal to 1.