Astronomy and Astrophysics – Astrophysics
Scientific paper
2001-01-30
Astronomy and Astrophysics
Astrophysics
30 pages, 3 figures; Chapter contributed to "Physics of Neutron Star Interiors", Lecture Notes in Physics (Springer 2001), eds
Scientific paper
This review starts with a discussion of the hierarchy of scales, relevant to the description of superfluids in neutron stars, which motivates a subsequent elementary exposition of the Newtonian superfluid hydrodynamics. Starting from the Euler equations for a superfluid and a normal fluid we apply the tensor virial method to obtain the virial equations of the first, second, and third order and to compute their Eulerian perturbations. Special emphasis is put on the computation of perturbations of the new terms due to mutual gravitational attraction and mutual friction between the two fluids. The oscillation modes of superfluid Maclaurin spheroids are derived from the first and second order perturbed virial equations. We discuss two generic classes of oscillation modes which correspond to the co-moving and relative oscillations of two fluids. These modes decouple if the normal fluid is inviscid. We also discuss the mixing of these modes (when the normal fluid is viscous) and its effect on the dynamical and secular instabilities of the co-moving modes and their damping.
Sedrakian Armen
Wasserman Ira
No associations
LandOfFree
The tensor virial method and its applications to self-gravitating superfluids does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The tensor virial method and its applications to self-gravitating superfluids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The tensor virial method and its applications to self-gravitating superfluids will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-279510