Polar chiral active particles map exactly onto a disordered Josephson junction array, and their 3D alignment torque is the damping term of the Landau-Lifshitz-Gilbert equation, giving rise to inertial spin waves.
Mai, Hydrodynamic limit of the Kuramoto- 13 Sakaguchi equation with inertia and noise effects (2024), arXiv:2410.05113 [math]
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Polar chiral active matter as a motile, disordered Josephson array: Information supercurrents and Goldstone spin waves
Polar chiral active particles map exactly onto a disordered Josephson junction array, and their 3D alignment torque is the damping term of the Landau-Lifshitz-Gilbert equation, giving rise to inertial spin waves.