Researchers proposed a modeling framework that tracks how defects and their surrounding material fields evolve together. It combines variational continuum dynamics with gauge theory of topological defects. They applied it to two test cases: quantum fluids described by Gross-Pitaevskii theory and nematic liquid crystals described by the Ericksen-Leslie model.
Moving defects like vortices and disclinations shape how materials behave, but most models track the defect alone while ignoring how it feeds back on its surroundings. A unified coupled model could help predict instabilities and flow patterns in quantum fluids and liquid crystals, materials used in display technology. The framework applies when defects do not reconnect.
✦ Modeling the defect and its surroundings together gives a fuller picture of how materials move.