The thermal state of the intergalactic medium (IGM) is at least partly the result of processes during the re-ionization epoch. It has been shown (Atrio-Barandela & Muecket 2006; Atrio-Barandela, Muecket & Genova-Santos 2008) that the intergalactic gas (IGM) in filaments may considerably contribute to the anisotropy power spectrum of the CMB via both the thermal (tSZ) and the kinematic (kSZ) Sunyaev-Zeldovich effects. The contributions to the power spectrum are very sensitive with respect to the properties of the IGM at certain redshift epochs. Thus, in the light of the upcoming space experiments this opens an independent way to determine or to restrict the thermal state of the IGM.
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