Odd viscosity-induced Hall-like transport of an active chiral fluid

Broken time-reversal and parity symmetries in active spinner fluids imply a nondissi-pative odd viscosity, engendering phenomena unattainable in traditional passive or active fluids. Here we show that the odd viscosity itself can lead to a Hall-like transport when the active chiral fluid flows through a quenched matrix of obstacles, reminiscent of the anomalous Hall effect. The Hall-like velocity depends significantly on the spinner activity and longitudinal flow due to the interplay between odd viscosity and spinner-obstacle collisions. Our findings underscore the importance of odd viscosity in active chiral matter and elucidate its essential role in the anomalous Hall-like effect.

Automated summary

Broken time-reversal and parity symmetries in active spinner fluids lead to a nondissipative odd viscosity, resulting in phenomena not achievable in traditional passive or active fluids. Our study demonstrates that the odd viscosity itself can cause a Hall-like transport when the active chiral fluid flows through a quenched matrix of obstacles, resembling an anomalous Hall effect. The Hall-like velocity depends on spinner activity and longitudinal flow due to the interplay between odd viscosity and spinner-obstacle collisions.