Scalar Perturbations in Two-Temperature Cosmological Plasmas

Details Scalar Perturbations in Two-Temperature Cosmological Plasmas Scalar Perturbations in Two-Temperature Cosmological Plasmas

2006-04-11

arxiv.org/abs/astro-ph/0604248v1

Mon.Not.Roy.Astron.Soc.369:1813-1821,2006

Astronomy and Astrophysics

Astrophysics

9 pages. Accepted for publication in MNRAS, 5 April 2006 (submitted 20 Januari 2006)

Scientific paper

10.1111/j.1365-2966.2006.10419.x

We study the properties of density perturbations of a two-component plasma with a temperature difference on a homogeneous and isotropic background. For this purpose we extend the general relativistic gauge invariant covariant (GIC) perturbation theory to include a multi-fluid with a particular equations of state (ideal gas) and imperfect fluid terms due to the relative energy flux between the two species. We derive closed sets of GIC vector and subsequently scalar evolution equations. We then investigate solutions in different regimes of interest. In particular, we study long wavelength and arbitrary wavelength Langmuir and ion-acoustic perturbations. The harmonic oscillations are superposed on a Jeans type instability. We find a generalised Jeans criterion for collapse in a two-temperature plasma, which states that the species with the largest sound velocity determines the Jeans wavelength. Furthermore, we find that within the limit for gravitational collapse, initial perturbations in either the total density or charge density lead to a growth in the initial temperature difference. These results are relevant for the basic understanding of the evolution of inhomogeneities in cosmological models.

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