Hydrodynamic time correlation functions in the presence of a gravitational field

A. Sandoval-Villalbazo and Garcı́a-Colı́n, L.S.

Physica A: Statistical Mechanics and its Applications, 2003, vol. 327, issue 3, 213-220

Abstract: This paper shows that the ordinary Brillouin spectrum peaks associated to scattered radiation of acoustic modes in a fluid suffer a shift in their values due to gravitational effect. The approach is based on 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.

Keywords: Brillouin spectrum; Scattered radiation; Acoustic modes; Navier–Stokes equations; Dispersion relation and correlation functions; Gravitational potential; Jeans wave number (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:327:y:2003:i:3:p:213-220

DOI: 10.1016/S0378-4371(03)00400-X

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