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Wednesday, December 9, 2015

Our Universe a Supercomputer Created

We are bounded in a nutshell of Infinite space: Blog Post #37, Illustris Simulation Worksheet: Our Universe a Supercomputer Created

An incredible feat of astronomical research and data use, the Illustris Simulation attempts to demonstrate how the observable universe has developed over billions of years in order to create the superclusters and incredible webs of gas and dark matter we can detect, in some ways. With the simulation, we can observe how galaxies and other immense structures have halos, extensions of the individual galaxies and clusters made of dark matter which wrap around the objects we ordinarily associate with matter.

By going to the a Illustris Simulation website (http://www.illustris-project.org/explorer/) and going to its “The Explorer” tab, one could see how the universe looks like today, according to the simulation, and see how dark matter, gas density, gas velocity, temperature, X-ray emissions, all of it, interact with one another and are present in the same areas.  Furthermore, by selecting on the tab’s “Spatial Query on Click” option, we can identify specific details about a set of halos. From this data, we will focus on the halo and star mass data. Seeing a table similar to the one below, we can export this data (essentially copying and pasting it out) and get something like this:

Exporting this data as a CSV file (save as CSV) and importing into Python software, we can start to analyze it.

First off, we prepare the environment for the program:
import numpy as np
import matplotlib
import matplotlib.pyplot as plt
Then we upload the specific data:
file = np.loadtxt(fname='data.txt')

And name the specific columns (we eliminated them before exporting the data, since Python doesn’t recognize text as data):
id, xpos, ypos, halo_mass, star_mass, umag, bvcolor= file.T

We then define our data, what we are going to use, exactly, and prepare a histogram to understand the scatter of the halo masses:
halo_mass_data = halo_mass
log_mass_bins = np.arange(9, 12,0.1)

plt.xlabel("Log Halo Mass")
plt.ylabel("Number")
plt.hist(halo_mass_data, bins = log_mass_bins)
plt.show()


Now with these, we produce a table which looks like:
Thus indicating how there is a greater number of lower mass halos than there are high mass halos.

Using some simple division to see what percentage of the halo mass was stellar mass, and then averaging all these values to understand the standard, about 85% of the halo mass is stellar mass.

If we were to qualitatively analyze how Dark Matter Density and Gas Density compare to one another, we can see how, at a large scale, the densest dark matter regions correspond directly with the densest gas regions, they follow the same filament structures and appear to have the all the clusters of gas and dark matter in the same regions.
Gas Density

Dark Matter Density 


However, once the images are zoomed in towards the smaller scales, with individual galactic clusters, the similarities give way to stark contrasts. The most evident one is how the gas density image illustrates how gas is most dense around and in galaxies, as one would expect. But for dark matter, the presence of a galaxy and the presence of the greatest density of dark matter does not correspond precisely, as you can see from the images of the same area below:
 
Dark Matter Density Close Up

Gas Density Close Up 

Furthermore, by observing the large scale structures, it is evident dark matter is more closely confined to the filamentary structure, not the gas, which is clearly more spread out across the universe. We can reason this out by understanding how the mass of dark matter is what is holding galaxies and bigger structures together. These filaments are the pathways which regular matter follows, so it is attracted to it and thus coalesces around it, but is in the process of doing so, as shown of how all matter has slowly organized itself into filaments set by the dark matter. If you analyze specific galaxies, you will also find how the gas density of individual galaxies is highest near the nucleus, the area “near” the black hole at the center of the galaxy. Also, the largest galaxies are rarely found on their own in the less dense areas, rather they are clearly in the presence of many other galaxies and have developed a cluster around itself.   


Single Galaxy as seen in Gas Density Filter
Range of Galaxies in a Cluster, in the Visible Light Filter

Thereafter, if we look at this video (http://www.illustris-project.org/movies/illustris_movie_cube_sub_frame.mp4 ) and analyze the proceedings of the dark matter and gas temperature; we see how their evolution seems to coincide in many ways, the dark matter giving the structure of how the diffuse gas would gain its “shape” from the filaments first set by the dark matter. So, we can understand that the structure formation is led by the dark matter, it itself become more defined as time goes on, but it was still the first to have a basic structure that the baryons (gas) followed and thus created the structure we see at the end.

Also, if we were to read the time and redshift data, we can see there is a range of time when the gas structure begins to “brighten”, which in this diagram means become energized. We know the most common element in the universe is hydrogen, so we also know that it requires a minimum amount of energy to ionize and move its electrons into higher orbits. From this understanding of a bit of atomic physics and quantum mechanics, we can recognize ionized hydrogen by its wavelength (and shift caused by redshift). Furthermore, the fact we can see the hydrogen is also an important fact, for it signaled the end of the “Dark Ages”, the time between the big bang and the first light emitted from ionized hydrogen, and the beginning “Epoch of Reionization”. This, according to the video, occurs at approximately 0.5 billion years after the Big Bang and at redshift 9.5-9.8. Also, if we focus on how quickly stellar mas is forming (how many stars are beginning to ignite) we see how there is a definite range in which stellar mass begins to develop very rapidly. Here, in the period between 4.5 and 7 billion years, the stellar mass increases by approximately 27 billion solar masses, the most sustained rapid growth seen in the simulation, although there were some “incredibly quick” periods every few billion years afterwards that also had this rapid increment.

Another aspect of the simulation to consider is how, near the beginning, small structures were coming together to form the largest structures, following the filament structure laid out by dark matter .But these large structures eventually star breaking up and creating a more diffuse structure, although it is more highly energized than it was before the explosions. This high energization allows smaller structures to form and combine again and lead to more explosion, a cycle of destruction and creation. This pattern is likely caused by the force of gravity attracting the large masses together, tugging them along towards the filaments of dark matter, which we know has to emit a rather large gravitational force. This is the reason the structures form along filaments, the gravity that binds the dark matter together in the way that it has maintained itself for over 13 billion years continues to control how the baryons reorganize themselves. The filaments are the basic gravitational structure of the universe, and normal matter adheres to it by the forces that act on it over the span of billions of years.


Images, videos, and data taken from:

https://www.youtube.com/watch?v=NjSFR40SY58  

1 comment:

  1. Common pitfall to watch out for:

    - is stellar mass really 90% that of the halo mass? Ask: does this agree with your knowledge of the overall proportionality of baryonic vs dark matter in the universe? Halos should have compositions that are pretty representative of the universal mean. Are masses in Illustris given in terms of ___x10^() or log_10(__)?

    - your observation that ‘these large structures eventually star breaking up and creating a more diffuse structure’ may be due to a visual illusion. The supernovae may generate some wind and blow gas out such that it *looks like* it’s breaking apart but they really don’t do much to the underlying structure. Instead, if you look closely at the Dark Matter side of the simulation, smaller things are drawn together to form larger things! Check out a clearer visual of hierarchical structure formation: https://www.youtube.com/watch?v=8UzVi8MJolo

    And an explanation: http://burro.cwru.edu/Academics/Astr222/Cosmo/Structure/hierarchical.html

    Very nice presentation!

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