Hydrodynamic time correlation functions in the presence of a gravitational field

Details Hydrodynamic time correlation functions in the presence of a gravitational field Hydrodynamic time correlation functions in the presence of a gravitational field

2003-01-24

arxiv.org/abs/astro-ph/0301501v2

Physica A327 (2003) 213-220

Astronomy and Astrophysics

Astrophysics

6 pages, no figures. To appear in Physica A

Scientific paper

10.1016/S0378-4371(03)00400-X

This paper shows that the ordinary Brillouin spectrum peaks associated to scattered radiation off acoustic modes in a fluid suffer a shift in their values due to gravitational effects. The approach is based in the ordinary linearized Navier-Stokes equations for a fluid coupled to a Newtonian gravitational potential. The formalism leads to a dispersion relation that contains both gravitational and dissipative effects. It is also shown that the Brillouin peaks tend to condense into a single peak when the fluid modes approach the critical Jeans wave number.

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