Hydrodynamic equations of anisotropic, polarized and inhomogeneous superfluid vortex tangles
نویسندگان
چکیده
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 Fns between normal and superfluid components and to the vortex tension force ρsT. These equations are complemented by an evolution equation for the vortex line density, which takes into account these contributions.
منابع مشابه
Anisotropic and long-range vortex interactions in two-dimensional dipolar Bose gases.
We perform a theoretical study into how dipole-dipole interactions modify the properties of superfluid vortices within the context of a two-dimensional atomic Bose gas of co-oriented dipoles. The reduced density at a vortex acts like a giant antidipole, changing the density profile and generating an effective dipolar potential centred at the vortex core whose most slowly decaying terms go as 1/...
متن کاملMotion of Quantized Vortices as Elementary Objects
The general local, nondissipative equations of motion for a quantized vortex moving in an uncharged laboratory superfluid are derived from a relativistic, co-ordinate invariant framework, having vortices as its elementary objects in the form of stable topological excitations. This derivation is carried out for a pure superfluid with isotropic gap at the absolute zero of temperature, on the leve...
متن کاملGyroscopic motion of superfluid trapped atomic condensates
The gyroscopic motion of a trapped Bose gas containing a vortex is studied. We model the system as a classical top, as a superposition of coherent hydrodynamic states, by solution of the Bogoliubov equations, and by integration of the time-dependent Gross-Pitaevskii equation. The frequency spectrum of Bogoliubov excitations, including quantum frequency shifts, is calculated and the quantal prec...
متن کاملSe p 19 99 On the Theory of Vortex Tunnelling
The present work investigates the theoretical framework governing the quantum process of tunnelling for a vortex moving in a superfluid liquid. We derive, in the first chapter, the general local, nondissipative equations of motion for the vortex. This derivation is carried out for a pure superfluid with isotropic gap at the absolute zero of temperature, on the level of a hydrodynamic, collectiv...
متن کاملVortex dynamics in rotating counterflow and plane Couette and Poiseuille turbulence in superfluid Helium
An equation previously proposed to describe the evolution of vortex line density in rotating counterflow turbulent tangles in superfluid helium is generalized to incorporate nonvanishing barycentric velocity and velocity gradients. Our generalization is compared with an analogous approach proposed by Lipniacki, and with experimental results by Swanson et al. in rotating counterflow, and it is u...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008