Model for domain wall avalanches in ferromagnetic thin films

TL;DR

This paper introduces a 2D Monte Carlo model for magnetic domain wall avalanches in ferromagnetic thin films, reproducing experimental power-law behaviors and providing insights into domain wall dynamics with short-range and long-range interactions.

Contribution

The paper presents a novel 2D Monte Carlo model that captures avalanche behavior in ferromagnetic thin films, aligning with experimental exponents and extending understanding to long-range interactions.

Findings

Avalanche-size distribution follows a power-law with an exponent matching experiments.

Model reproduces critical behavior observed in thin film magnetic avalanches.

Provides a framework for studying domain wall dynamics with both short-range and long-range interactions.

Abstract

The Barkhausen jumps or avalanches in magnetic domain-walls motion between succesive pinned configurations, due the competition among magnetic external driving force and substrum quenched disorder, appear in bulk materials and thin films. We introduce a model based in rules for the domain wall evolution of ferromagnetic media with exchange or short-range interactions, that include disorder and driving force effects. We simulate in 2-dimensions with Monte Carlo dynamics, calculate numerically distributions of sizes and durations of the jumps and find power-law critical behavior. The avalanche-size exponent is in excellent agreement with experimental results for thin films and is close to predictions of the other models, such as like random-field and random-bond disorder, or functional renormalization group. The model allows us to review current issues in the study of avalanches motion of the magnetic domain walls in thin films with ferromagnetic interactions and opens a new approach to describe these materials with dipolar or long-range interactions.