hellfire
Science Advisor
- 1,048
- 1
wolram, regarding your last reference: I have been reading some references and I think the process of cooling of the intra cluster gas is not relevant in this case. Cooling refers to the loss of energy due to the x-ray emissions (which are generated due to thermal bremsstrahlung) and its characteristic time is of the scale (or usually longer than) the Hubble time for most of the clusters. It is therefore usualy not considered for time evolution of the luminosity. As far as I understood, Blanchard also does not consider the cooling effect for his main argumentation.
My impression now is that x-ray emission depends not only on the potential well, but on a function called density contrast. This is the quotient of the main density of the cluster (density perturbation) and the energy density of the universe at the time where the cluster gets virialized (more or less stability of the gravitationally bound system is reached).
In general, it is the number of clusters of a given virial mass, which depends on the density contrast, but, since there is a postulated relation between luminosity and virial mass, also the emission of x-rays should depend on the density contrast.
Blanchard claims to have found more x-rays than today. I thought this implies deeper potential wells (in contradiction with Blanchards own thesis) but it seams that this is not the case due to the dependence on the density contrast function.
Due to the relation between density and radius the cosmological constant enters the density contrast function making use of the Friedmann equation. I am not able now to make any qualitative statement about the relations. As you see I just think now I have found the right equations, but I am still far from understanding properly the effect of evolution of luminosity.
Anyway, it would be great if somebody could confirm or correct me.
These are the references I used:
http://arxiv.org/astro-ph/9611085
http://nedwww.ipac.caltech.edu/level5/March02/Sarazin/Sarazin_contents.html
http://nedwww.ipac.caltech.edu/level5/Sept02/Padmanabhan/Pad_contents.html
Regards.
My impression now is that x-ray emission depends not only on the potential well, but on a function called density contrast. This is the quotient of the main density of the cluster (density perturbation) and the energy density of the universe at the time where the cluster gets virialized (more or less stability of the gravitationally bound system is reached).
In general, it is the number of clusters of a given virial mass, which depends on the density contrast, but, since there is a postulated relation between luminosity and virial mass, also the emission of x-rays should depend on the density contrast.
Blanchard claims to have found more x-rays than today. I thought this implies deeper potential wells (in contradiction with Blanchards own thesis) but it seams that this is not the case due to the dependence on the density contrast function.
Due to the relation between density and radius the cosmological constant enters the density contrast function making use of the Friedmann equation. I am not able now to make any qualitative statement about the relations. As you see I just think now I have found the right equations, but I am still far from understanding properly the effect of evolution of luminosity.
Anyway, it would be great if somebody could confirm or correct me.
These are the references I used:
http://arxiv.org/astro-ph/9611085
http://nedwww.ipac.caltech.edu/level5/March02/Sarazin/Sarazin_contents.html
http://nedwww.ipac.caltech.edu/level5/Sept02/Padmanabhan/Pad_contents.html
Regards.
Last edited by a moderator: