Dynamics of Full Skyrmions in a Chiral Liquid Crystal

We investigate the dynamics of full skyrmions in chiral liquid crystals using an Eulerian formalism originally developed for topological defects in crystals. We show how this approach can be extended to liquid crystals and related to the Frank–Oseen description. Within this framework, skyrmions are characterised by their associated distortion charges, and their dynamics are derived from a generalised Peach–Koehler force combined with Newton’s second law. We demonstrate that the resulting equations of motion recover the behaviour reported in previous studies, in particular those of Alvim et al., while providing a purely analytical perspective. This approach offers a unified and conceptually transparent description of skyrmion dynamics and suggests possible extensions to interacting skyrmions and other topological defects.