Nonplanar textures ofHe3−Ain a slab

The Ginzburg-Landau theory is used to study the texture of superfluid ${}_{}{}^3{}_{}{}^{}\mathrm{He}-A$ in a slab subject to a uniform perpendicular magnetic field and a weak oscillatory hydrodynamic flow. For steady or low-frequency motion, $\hat{l}$ undergoes synchronous rotation about $\hat{H}$, at high frequency, the orbital viscosity suppresses such motion, producing a planar texture. The integrated mass current provides an operational definition of the mean superfluid density; improved calculations agree somewhat better with available experimental data.