I Formation of dark matter structures

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Dark matter structures form from initial near-uniform distributions through gravitational interactions, despite lacking the energy dissipation mechanisms of ordinary matter. While dark matter gains kinetic energy from gravitational potential, it can lose energy slowly via gravitational radiation and momentum transfer between particles, aiding in structure formation. On large scales, structures do not collapse due to the interplay of expansion rates and density, leading to stable orbits rather than continuous expansion. The density of these regions is influenced by when they ceased expanding, resulting in varying configurations. The complex evolution of smaller structures, influenced by non-linear gravity and dark energy, further complicates the understanding of dark matter dynamics.
andrew s 1905
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I can't understand how dark matter can form structures from the initial near uniform distribution.
So my question is what physics allows this to happen?
I can't understand how dark matter can form structures from the initial near uniform distribution as shown in simulation like those of the Eagle project http://icc.dur.ac.uk/Eagle/index.php. I understand how the initial density fluctuation are amplified and dark (and ordinary) matter start to collapse However, unlike ordinary matter which can lose energy via electromagnetic interactions, dark matter will gain kinetic energy from the gravitational potential energy of the initial distribution but this cannot be dissipated and so should in my naive view oscillate about the local center of mass.

This must be wrong but what physics am I missing in understanding this. I have tried various google searches but not found a solution. Any pointers would be most welcome.

Regards Andrew
 
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Dark matter can lose energy by gravitational interaction via the emission of gravitational radiation. Given that the gravitational interaction is much weaker than the electromagnetic, This is a much slower process. Also, gravitational interactions between DM particles can transfer momentum from one to another( much like a gravitational slingshot does), which can also aid in forming structures.
 
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Thanks, for the replies. I think I have worked it out. My assumption about the potential energy was wrong.
Regards Andrew
 
One interesting thing about this problem is that on very large scales, structures don't collapse. This derives from using linearized gravity to estimate how structures evolve over time. This fact probably matches more with your original intuition: that conservation of energy would prevent collapse.

So how can there be these huge structures at all if they don't collapse? The answer is pretty simple: at some point, the rate of expansion was slow enough and the systems were dense enough that they settled into stable orbits instead of continuing to expand. Meanwhile, the overdense regions continue to get further apart and the rest of the universe gets less dense. So the density of these large regions is sort of "baked in" by how long ago they stopped expanding, with some settling into stable configurations younger than others.

That said, gravity isn't a linear theory, so this approximation breaks down as you look at smaller structures (such as galaxy clusters and individual galaxies). This leads to more complicated evolution. And dark energy also changes things so that the gravitational potentials of these large regions aren't actually constant.

Finally, note that my description is compatible with the one that Keith posted above. It's just described from a different perspective.
 
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https://en.wikipedia.org/wiki/Recombination_(cosmology) Was a matter density right after the decoupling low enough to consider the vacuum as the actual vacuum, and not the medium through which the light propagates with the speed lower than ##({\epsilon_0\mu_0})^{-1/2}##? I'm asking this in context of the calculation of the observable universe radius, where the time integral of the inverse of the scale factor is multiplied by the constant speed of light ##c##.
The formal paper is here. The Rutgers University news has published a story about an image being closely examined at their New Brunswick campus. Here is an excerpt: Computer modeling of the gravitational lens by Keeton and Eid showed that the four visible foreground galaxies causing the gravitational bending couldn’t explain the details of the five-image pattern. Only with the addition of a large, invisible mass, in this case, a dark matter halo, could the model match the observations...
Why was the Hubble constant assumed to be decreasing and slowing down (decelerating) the expansion rate of the Universe, while at the same time Dark Energy is presumably accelerating the expansion? And to thicken the plot. recent news from NASA indicates that the Hubble constant is now increasing. Can you clarify this enigma? Also., if the Hubble constant eventually decreases, why is there a lower limit to its value?

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