The next level of sophistication is introducing barriers, gas and dissipative processes that must effect it. Including things like star formation and energy input by star's formation of. Black holes, there activity is active galactic nuclei. There feed back through energy input in the surrounding gas, and so on. These are far more demanding technically, and it's only in recent years that we had simulations good enough to really compare to observations. The key problem is the nomical range. A lot of dissipative stuff happens on very small scales. Scales of stars or interstellar separations. Which are of the orders of parsecs, and yet we want to look at regions of the universe that are megaparsecs or even gigaparsecs in size. So it's simply hard enough to achieve sufficient numerical resolution, that will cover both Scales, and truth be told, sometimes we don't really understand how some important processes work. We have pretty good idea how stars form, but not in a really excellent detail we would like. So next movie, we'll take a look at a formation of cluster of galaxies using full hydro code, again by the Max Planck Group, and showing how different physical properties change in time. Now, here we start at the redshift of 20, when just see the 1st large scale structure formed The different panels show different components, the density of the dark matter, the density of baryonsal gas, the temperature, shock waves and predictions for senia zubovich effect. Note how similar yet in detail different structures are as you look at different physical properties of these. Cause their proper only forms at the redshifts of a few. Now you begin to recognize that this could be, in fact, a cluster. But if you had eyes that could see both dark matter and hot gas, this is the comparison of things you would see. Now, look at behavioral gas. It is heated by the shocks of the falling pieces as they collide kenetic energy is transferred into radiation which heats the gases up, this is why clusters are filled w ith extra gas Introducing dissipation, opens much richer physics. It can see many, more phenomena than you could possibly see, with just the old dark matter simulation that only had gravity. Here we're going to zoom in on different physical properties in, In order first zooming on one and then the other. Note in detail how different structures are, and especially the richness of structures that show up in the extra gas. Specialists say big pieces fall in and they heat the gas creating shock waves and like cometary trails. Here it's the same sequence but zooming in on a different portion. So you can see spherical uniform homogeneous model does not really seem to respond well to reality. Our spherical top half model was a useful toy model to understand the basic physics or the collapse of density flucuations. But the reality is much more complicated. And this is why we need to use numerical simulations to actually figure out what's going on. , Again, these simulations produce a wealth of information that can be mind in detail. These are just some snapshots from cosmological simulation again, from Max Planck Group. You can see that there's familiar structure of cosmic filliments and so on, and voids. But now, There is much more at play here with gas reacting to the feedback from stars, collisions and so on. It is this kind of simulation that actually is getting us really closer to understanding the formation of Earth galaxies. Let's go back to the old problem of colliding spiral galaxies. How embody simulation really started. Now we can collide galaxies that have multiple components. Dark matter, gas, stars, or even black holes, and what they're seeing in simulations like these, dark matter behaves pretty much in the way we've seen before, but the gas dissipates energy and That makes it collide and collaspe much deeper much faster, because gas can disapate energy it goes deep in potential oil. It becomes denser and can cause a burst of star formation or feed super massive black whole if one ex ists causing activity of quazar nature. Some of us end with a movie of colliding spiral galaxies that include dark matters, stars, gas. In each of the two galaxies has a big black hole in the middle, which then gets fed by the gas and simulation and feeds back energy, radiation and kinetic energy input into the gas itself. Let's take a look. There are two identical models for our galaxies, and as they collide, first you see the usual tidal distortions. Things will look very symmetric, because the two galaxies were intentionally made to be identical at start. This provides an, a useful check on consistency, because you expect to see things be exactly symmetric, until things get more complicated, with input of energy from distributive processes later. Right now. This is just the first passage there is already some feedback of gas being heated by the collision and now the black holes ignite, both galaxies now have active nuclei that causes shock waves and expansion of gas away from the system. Some of the gas keeps collapsing. It feeds more of the black hole activity in the middle. Which can reignite again, and this is how octave galactic nuclear is supposed to work. In the end, you can see a very dense distal gas. You don't see the black holes, of course. And this Is getting very close to our understanding of the origins of the nuclear activity of galaxies in the universe. So this is our theoretical understanding of the formation of large scale structure in this evolution in the universe. Next, we will start talking about actual observations of the large scale structure.