Chris, this is a good discussion and it is going somewhere, but nobody has mentioned "three body gravitational interactions" (let's abbreviate that "3BGI") yet. That's an important way for DM to shed excess energy so that DM clouds can contract. Because DM can't do the collision heating radiation trick that OM uses to shed energy. First I will recap what you already got thru, which was good:
Ich said:
Think about "collisions" instead of friction. If you shoot a DM particle through a cloud of other particles it will simply fly through. A normal particle has at least the chance to hit one of the particles in the cloud and lose some of its kinetic energy.
An important point is also that in these collisions, you can generate EM radiation (light) which carries erergy away very efficiently. That makes it far easier for clouds to collect new particles and to cool down.
curiouschris said:
So let me get this straight.
Two particle fall into each others gravity influence and start to circle each other. At first they just follow long elliptical loops. Over time the loops start to get smaller and smaller dragged in by gravity. but in doing so the particles also accelerate conserving energy. Therefore they can never meet.
That's why we need collisions to drop the energy down enough to allow them to finally make contact (and form a molecule?). This works for light matter.
Dark matter on the other hand fails to interact enough to lose any energy and therefore the dance never ends. They just spin off in a seething invisible cloud. but the sum of their gravity still has a large influence on galactic scales.
Does that about sum it up?
Ich said:
It's even worse, they would have too much energy to even start circling each other. They'd just fly off. If they manage to start circling each other, their orbits would be stable, not getting smaller and smaller.
Yes, at least if they are electrically neutral. Macroscopically, if you add elastic collisions, you generate friction. If you add inelastic collisions, you also have the possibility to radiate away heat. Both is important for the formation of high density objects.
So OM clouds condense primarily by collisional heat being radiated away---energy leaves the cloud that way---so the OM cloud can gradually contract.
But DM
cannot radiate heat. So how can a DM cloud shed energy?
Do you understand the "slingshot" maneuver used to let space probes going to the outer planets pick up extra orbital speed by passing close by Earth and other massive bodies? Orbiting bodies can EXCHANGE energy. The probe whips by Mars on its way out to Jupiter. it picks up a little speed and is flung by Mars a little faster. Mars is so massive we don't notice that it was slowed down by this interaction, but actually Mars loses the energy which the probe gains. Mars is infinitesimally slowed down by the slingshot encounter, which speeds the probe up.
Space missions use this trick. it is standard. It is called "three body" because the two principals (the probe and the planet it steals energy from) are both orbiting the Sun, so there are actually 3 main players.
Maybe we should make up a term like "N body gravitational interaction" (NBGI) for the same thing where there is no one special designated central body like the sun. Just a collective gravitational field of the cloud of particles and they are all orbiting each other within the cloud.
And then A whips past B in such a way that it slows B down and A picks up so much extra energy that gets ESCAPE VELOCITY! And it is totally
flung out of the cloud and so A
carries away some of the cloud's energy and this allows the remaining particles to condense a little.
This is a way for a cloud of particles to gradually condense (much less effectively than if they could radiate collision heat.) A poor substitute, but still it works well enough to enable DM to gather into largish clouds.
There is more to the story (what happens to the ejected particles that carry away the unwanted energy and angular momentum.) Expansion, over long distances, plays a part. The expatriates can eventually meet and be taken in by other clouds. That's another chapter. The main thing is DM clouds CAN condense somewhat, they just aren't as good at it as OM clouds.