Insofar, i’ve been testing the TC08 model as if there is cosmic scatter of 0.25dex at EVERY LOS that’s simualted. This was a result we found in a previous test of the TC08 model. While we took measures to stop ridiculous scatter at very small separations, it’s important to test whether LOS-to-LOS scatter is actually true. TC08 does not tell us where the scatter is occurring, just that there is 0.25dex scatter of the data round their best-fit parameters to the model.
to that end, I want to test what happens if we have cloud-to-cloud scatter. I’m approximating this by using a coherence length=10 000 kpc. Any separation in the sample size will be dwarfed by this number, and force both LOS in any pair/triple/quad to be scatter the same amount. Note that there is still different scatter values for every new halo mass randomly chosen, but within each individually chosen halo, the scatter is one value.
Note also that I’ve previously tried using a
cosmic scatter of CS=0.0, which I did as a first test. All this does is test the underlying TC08 form. which has been shown to not fit the data in Tinker & Chen 2008. Trying ell_c=10 000 will allow cosmic scatter to stay, but only on a cloud-to-cloud basis.
cov_frac:0.0100000 ell_c: 10000.0 Significance:1.7986632e-09 D:0.67555539
cov_frac:0.100000 ell_c: 10000.0 Significance:1.2078819e-08 D:0.64777819
cov_frac:0.200000 ell_c: 10000.0 Significance:7.1495750e-07 D:0.58333309
cov_frac:0.300000 ell_c: 10000.0 Significance:0.00014028578 D:0.48555589
cov_frac:0.400000 ell_c: 10000.0 Significance:0.0020535367 D:0.42555521
cov_frac:0.500000 ell_c: 10000.0 Significance:0.0078758335 D:0.39111161
cov_frac:0.600000 ell_c: 10000.0 Significance:0.0072536699 D:0.39333289
cov_frac:0.700000 ell_c: 10000.0 Significance:0.0072536699 D:0.39333289
cov_frac:0.800000 ell_c: 10000.0 Significance:0.011321198 D:0.38111159
cov_frac:0.900000 ell_c: 10000.0 Significance:0.014883888 D:0.37333379
cov_frac:1.00000 ell_c: 10000.0 Significance:0.012251771 D:0.37888801
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Triples/Quads and Contour plots
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As mentioned, a triple will have 6 KS tests associated with one configuration of coherence length and covering fraction (ell_c,f_c). The question is, how do you make a contour plot with these values?
First, i believe there will be a result of 3 contour plots here. One contour plot per matched sightline. i.e. for all the LOSA matches, a contour plot depicting the values found in testing BOTH the LOSB and LOSC simulated distributions. As the significance value is the ‘probability of getting a value equal to D or more,’ we could multiply these 2 probabilities together…because we want to know when there are good values that include BOTH distributions at the same time.
Then there would be 2 other contour plots, one for matches made LOSB, and one for matched made to LOSC. Per (ell_c,f_c) there are 3 contour plots.
Scratch the above……i think its better to have 6 individual contour plots of the triples…
The above figure shows a contour plot for triples for all matches to a LOS A. so the line of sight that was given the designation ‘A’ from the authors, typically because it has the strongest absorption line in MgII. And this contourplot is ONLY comparing the distribution of all the subsequent EWBs that were simulated given a match the objects LOSA.
the contourplot, and KS-plots, both show much lower significance in matching a y=x curve. This is an interesting result, because if a match is made to LOSA, the way in which LOSB is found is exactly the same as pairs. The only difference is the location of the ‘midpoint’ position X. but this only slightly different. quite simply, the triples don’t match as well as the pairs.
contour plots for LOSA,LOSC ……LOSB,LOSA……..LOSB,LOSC……..LOSC,LOSA…..LOSC,LOSB to follow
