Hydrodynamic equations of anisotropic, polarized and inhomogeneous superfluid vortex tangles

Details Hydrodynamic equations of anisotropic, polarized and inhomogeneous superfluid vortex tangles Hydrodynamic equations of anisotropic, polarized and inhomogeneous superfluid vortex tangles

2008-06-11

arxiv.org/abs/0806.1889v2

Physics

Condensed Matter

Other Condensed Matter

21 pages

Scientific paper

We include the effects of anisotropy and polarization in the hydrodynamics of inhomogeneous vortex tangles, thus generalizing the well known Hall-Vinen-Bekarevich-Khalatnikov equations, which do not take them in consideration. These effects contribute to the mutual friction force ${\bf F}_{ns}$ between normal and superfluid components and to the vortex tension force $\rho_s{\bf T}$. These equations are complemented by an evolution equation for the vortex line density $L$, which takes into account these contributions. These equations are expected to be more suitable than the usual ones for rotating counterflows, or turbulence behind a cylinder, or turbulence produced by a grid of parallel thin cylinders towed across a superfluid, because in these situations polarization is expected to play a relevant role.

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