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.
@article{arxiv.2006.02866,
title = {Analytical model of the inertial dynamics of a magnetic vortex},
author = {Myoung-Woo Yoo and Francesca Mineo and Joo-Von Kim},
journal= {arXiv preprint arXiv:2006.02866},
year = {2021}
}