Scaling of Static and Dynamical Properties of Random Anisotropy Magnets

TL;DR

This paper introduces a new scaling approach for static and dynamic properties of random anisotropy magnets, simplifying computations and enabling efficient analysis of their behavior, including microwave absorption.

Contribution

The paper develops an alternative scaling method for random anisotropy models and extends it to dynamical properties using Landau-Lifshitz equations, improving computational efficiency.

Findings

Scaling accurately describes static properties.

Rescaled model matches original atomic model numerically.

Method effectively studies microwave absorption.

Abstract

Recently observed scaling in the random-anisotropy model of amorphous or sintered ferromagnets is derived by an alternative method and extended for studying the dynamical properties in terms of the Landau-Lifshitz equations for spin blocks. Switching to the rescaled exchange and anisotropy constants allows one to investigate the dynamics by using a reduced number of variables, which greatly speeds up computations. The proposed dynamical scaling is applied to the problem of microwave absorption by a random anisotropy magnet. The equivalence of the rescaled model to the original atomic model is confirmed numerically. The method is proposed as a powerful tool in studying static and dynamic properties of systems with quenched randomness.