Gary0509 said:
I'm having trouble finding information on "Tully’s smoothed density surfaces" via Google searches. My best guess is this is a map of dark matter density based upon gravimetric lensing. Though I wouldn't gamble a dollar on it. Am I off the mark?
I think these are isosurfaces. Not representations of any sort of actual physical extent of any type of matter, but rather averaged densities of galaxies - sort of like graphing the distribution of matter in a way that let's you see structure. Similar technique is used in drawing electron orbitals (but with probability instead of density).
You take a galaxy, which normally is shown as a point-like concentration of matter, and pretend that all its mass is 'smeared' across a volume around it, where the volume is scaled is such a way, so as to keep the density within constant (for example, 1 Milky Way mass per 1 cubic Mly - or anything else, the choice is arbitrary). I.e., a more massive galaxy will produce a larger volume around it. If the volume of constant density overlaps with another, from another galaxy, then it will 'bulge out' where the two intersect, so that the local density encompassed by the two volumes stays constant. If you have a lot of massive galaxies in a line next to one another, you get these elongated blob-like shapes.
Another way of seeing it is asking 'how can I encompass galaxies with a surface, so that the density enclosed remains at some chosen constant value?'
There seems to be some cut-off volume employed, so that regions with too little density (i.e., not enough mass per unit volume) are not displayed. There are also two isosurfaces shown, one encompassing higher density than the other.
As a result you can easily see which regions have a lot of matter in them, and that there's some 'clumping' involved.
I don't know whether the masses used for calculating these isosurfaces include dark matter, or just luminous matter. In any case, while dark matter content does vary from galaxy to galaxy, it's not a bad first approximation if you assume it's proportional to luminous matter. If you do that, then the isosurfaces will have the same shape with or without DM (but scaled differently).
My understanding is that the actual DM distribution follows closely galaxies themselves, so that most of it is concentrated in roughly spherical 'halos' around each galaxy, with sizes on the order of a few times the size of the galaxy. If it was included in the visualisation, it'd make the points representing galaxies puff-up somewhat, but it'd be nowhere near in extent to the sizes of those isosurfaces.
Anyway, that's how I read it.