For question 1, you would use that only if you believe the *correct* OD for virialization is 200 only with respect to either mean matter density or critical density.  The number 200 is somewhat arbitrary.  But for your purposes, your conversion is correct.  As to which number you should use for virial overdensity, I would recommend looking through linear collapse theory in an expanding universe if you are concerned at this level which is correct (e.g. Peebles or the Press-Schechter papers, or any of the new ones)


On Dec 2, 2009, at 3:40 PM, Agarwal, Shankar wrote:

Britton and Eric,

So I guess if the convention in halo_profiler is (Baryon + Dark Matter Density) / (Mean  density) , then I should use

   virial_overdensity = 200/Omega_matter = 200/0.258 = 775

instead of 200.



A separate stupid question :

I have run a Box=200Mpc/h with 512^3 dark matter particle simulation. http://drop.io/slice
The most dense point in the box is only 1.3e-27 gm/cm^3, which is about 520*matter_mean_density (for omega_matter=0.26).

Then I ran halo_profiler.py on it. Here are the first few lines...


ActualOverdensity  CellVolume     Density         RadiusMpc      Temperature    TotalMassMsun     myweight
1.411083e+03    1.884580e+73    5.022445e-28    1.086579e+00    3.470612e+07    3.350352e+13    4.667973e+12
1.349560e+03    2.826870e+73    2.846061e-28    1.108807e+00    2.697442e+07    4.806416e+13    1.054647e+12
1.199229e+03    3.298015e+73    3.425752e-28    1.131491e+00    2.577368e+07    4.982850e+13    8.115086e+11
1.029234e+03    5.653740e+73    2.792583e-28    1.154639e+00    3.303925e+07    7.331169e+13    2.847611e+12
1.135776e+03    7.538320e+73    3.070320e-28    1.178260e+00    3.784802e+07    1.078674e+14    2.675091e+12
1.135776e+03    7.538320e+73    nan     1.202365e+00    nan     1.078674e+14    0.000000e+00
1.135776e+03    7.538320e+73    nan     1.226962e+00    nan     1.078674e+14    0.000000e+00
1.018853e+03    8.951755e+73    3.040255e-28    1.252063e+00    3.025227e+07    1.149060e+14    1.974464e+12
9.159449e+02    1.083633e+74    1.950294e-28    1.277677e+00    3.573580e+07    1.250475e+14    1.774217e+12
9.158806e+02    1.177862e+74    1.275998e-28    1.303816e+00    3.568055e+07    1.359117e+14    5.672694e+11
8.432311e+02    1.413435e+74    1.915018e-28    1.330489e+00    2.360579e+07    1.501570e+14    1.880053e+12
7.995894e+02    1.649007e+74    2.735319e-28    1.357708e+00    2.651133e+07    1.661165e+14    2.674878e+12


Looking at ActualOverdensity column, Is it possible to have a halo with overdensities in 1000's when the peak overdensity is 520.

And do the "nan" correspond to some kind of profile maxima ?


regards
shankar




-----Original Message-----
From: yt-users-bounces@lists.spacepope.org on behalf of Eric Hallman
Sent: Wed 12/2/2009 12:56 PM
To: Discussion of the yt analysis package
Subject: Re: [yt-users] HaloProfiler ActualOverdensity

Shankar and Britton,
  I have gone through this argument extensively, and discovered that  
both definitions are used, with roughly equal frequency in the  
literature. Lately, it has been trending toward OD = density/mean  
density (matter). I think the main reason for the density with respect  
to critical in the past has been due to an historical preference for  
omega_m=1 universes (SCDM).

cheers,


On Dec 2, 2009, at 11:50 AM, Britton Smith wrote:

Shankar,

As I stated in my previous email, you will find both definitions  
used in the literature.  I'm not going to spend time in a citation  
battle.  The good news is that both definitions differ only by a  
factor of Omega_matter, so you can change the value of  
virial_overdensity accordingly.

Britton

On Wed, Dec 2, 2009 at 11:27 AM, Agarwal, Shankar <sagarwal@ku.edu>  
wrote:
Hi Britton,

I just wanted a clarification on the definition of  
ActualOverdensity. In your mail, you said...

"ActualOverdensity has the same physical meaning as the regular  
Overdensity
field.  It is (Baryon Density + Dark Matter Density) / (Mean  
density of the
universe).  If you search the literature, you will find alternate
definitions that use critical density instead of mean density. The  
one used
here is a little more common."


Are you sure you did not mean (Baryon Density + Dark Matter  
Density) / (critical density) ?


Because, in halo_profiler.py, there is a virial filter...

hp.add_halo_filter(HP.VirialFilter,must_be_virialized=True,
                 overdensity_field='ActualOverdensity',
                 virial_overdensity=200,
                 virial_filters=[['TotalMassMsun','>=','1e14']],
                 virial_quantities=['TotalMassMsun','RadiusMpc'])


Isn't 200 w.r.t rho_ciritcal (not rho_mean_matter)? Look http://arxiv.org/abs/astro-ph/0011495


shankar




-----Original Message-----
From: yt-users-bounces@lists.spacepope.org on behalf of Britton Smith
Sent: Wed 11/25/2009 1:30 PM
To: Discussion of the yt analysis package
Subject: Re: [yt-users] Hop vs HaloProfiler

Hi Shankar,

I will answer the HaloProfiler related questions and leave the Hop  
questions
for Stephen.  However, could you post the failure output for what  
you tried
to do with Hop.  That will probably be helpful for answering your  
question.

Is Halo_0000_profile.dat related to the first Halo listed in  
HopAnalysis.out
file ?


Yes, the HaloProfiler will always use the same indices for halos as  
all of
the halo finders in yt.  So, the file Halo_N_profile.dat will always  
refer
to halo N on the halo list.

What is # ?


This is just a comment character so that plotting programs don't try  
to read
in what's on that line.  The tab between it and the first field name  
is
there to accommodate the routines that read those files back in to the
HaloProfiler.


What is the meaning of ActualOverdensity ? And units ?


ActualOverdensity has the same physical meaning as the regular  
Overdensity
field.  It is (Baryon Density + Dark Matter Density) / (Mean density  
of the
universe).  If you search the literature, you will find alternate
definitions that use critical density instead of mean density.  The  
one used
here is a little more common (I think, but I'm not sure).  As per  
these
definitions, overdensity is a unitless quantity.

In yt, there is an Overdensity field that is calculated on a cell-by-
cell
basis.  For calculation of virial quantities for halos, the  
overdensity you
calculate should be explicitly the total mass (baryon + dm) / total  
volume /
mean density, where total refers to all cells enclosed within the  
sphere of
the radial profile, not just the shell from r_(i-1) to r_i.   
Technically,
you could get this by doing a profile of the Overdensity field,  
weighted by
CellVolume, with accumulation set to True.  However, if for some  
reason, the
user wanted to do profiles of the overdensity field in a different  
way, say
weighted by CellMass, or just counting the material shell-by-shell
(accumulation=False), this number would not be correct for the  
calculation
of virial quantities.  For that reason, the HaloProfiler automatically
generates this ActualOverdensity field which is assured to be  
calculated in
the correct way.  That way the user doesn't accidentally override a  
proper
calculation of the overdensity used for the virial quantities.

Other than the ActualOverdensity field (which is automatically  
generated by
the HaloProfiler, and thus does not exist outside that context) you  
can
always get the units of any field with:
lagos.fieldInfo[some_field].units
For more information, see here:
http://yt.enzotools.org/doc/faq.html#how-do-i-know-what-the-units-returned-are

What is the meaning of CellVolume? And units ?

What is Density referring to ? And units ?

CellVolume and Density are the volume of a cell and the baryon  
density.  In
this context, they are the values of those fields in the radial  
profile.  If
you did it as per the recipe, the CellVolume is the total  
accumulated volume
for all cells within the sphere radius.  Density SHOULD be the
mass-weighted, mean baryon density for cells within spherical shells.
However, after looking at the recipe on the website, I see that, in  
error, I
set the weight_field of the Density profile to None, instead of
CellMassMsun.  Therefore, the Density profile may be meaningless as  
is.  I
will change the recipe on the website ASAP.


What is mywieght ?


The myweight field is a temporary field for keeping track of the  
weight
field for a weight radial profile.  It should be ignored and we  
might just
want to not write it out in the future.


I also got the projection/ directory. But I got errors...


It looks like the HaloProfiler tried to do a projection of  
Metallicity, but
your simulation data did not have the MetalDensity field.  You need  
to set
CosmologyUseMetallicityField (or something like that) to 1 in your  
enzo
parameter file in order to get this field.  You can also just remove  
the
line in the HaloProfiler recipe that adds the metallicity field to  
the list
of projections.

Cheers,

Britton


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Dr. Eric J. Hallman
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hallman (at) casa.colorado.edu
Phone: (312) 725-4626
http://solo.colorado.edu/~hallman/


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Dr. Eric J. Hallman
NSF Astronomy and Astrophysics Postdoctoral Fellow                    
Center for Astrophysics and Space Astronomy 
University of Colorado at Boulder  
hallman (at) casa.colorado.edu 
Phone: (312) 725-4626