Analytical model of the inertial dynamics of a magnetic vortex

TL;DR

This paper introduces an analytical model for magnetic vortex inertial dynamics, extending the Thiele model to include core deformation and accurately describing complex transient behaviors and vortex core reversal phenomena.

Contribution

The model incorporates core deformation dynamics and extends existing theories to better predict inertial effects in magnetic vortex behavior.

Findings

Accurately describes transient inertial effects in magnetic vortices.

Quantitatively models vortex core reversal dynamics.

Extends the Thiele model with deformation-based collective coordinates.

Abstract

We present an analytical model to account for the inertial dynamics of a magnetic vortex. The model is based on a deformation of the core profile based on the D\"oring kinetic field, whereby the deformation amplitudes are promoted to dynamical variables in a collective-coordinate approach that provides a natural extension to the Thiele model. This extended model accurately describes complex transients due to inertial effects and the variation of the effective mass with velocity. The model also provides a quantitative description of the inertial dynamics leading up to vortex core reversal, which is analogous to the Walker transition in domain wall dynamics.