In this study, we investigate the collective motion and damping of dipolar Fermi gases in the hydrodynamic regime. Through Monte Carlo simulations, we analyze the trajectories of collective oscillations, termed as weltering motions, in cross-dimensional rethermalization experiments and observe significant differences compared to dilute systems. These findings are explained by a semiempirical theory of viscous hydrodynamics, which provides simplified equations of motion that show good agreement with full numerical solutions by carefully considering the size and shape of the effective volume of the gas.
We consider collective motion and damping of dipolar Fermi gases in the hydrodynamic regime. We in-vestigate the trajectories of collective oscillations-here dubbed weltering motions-in cross-dimensional rethermalization experiments via Monte Carlo simulations, where we find stark differences from the dilute regime. These observations are interpreted within a semiempirical theory of viscous hydrodynamics for gases confined to anisotropic harmonic potentials. The derived equations of motion provide a simple effective theory that show favorable agreement with full numerical solutions. To do so, the theory must carefully account for the size and shape of the effective volume within which the gas's behavior is hydrodynamic. Although formulated for close-to-threshold dipolar collisions, our theoretical framework can be repurposed for other elastic cross sections in future studies.
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