Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Power-law Sersic profiles in hydrostatic stellar galaxy discs   Previously, we showed that surface density profiles of the form of a
power-law times a Sersic function satisfy the hydrostatic Jeans equations, a
variety of observational constraints, and the condition of a minimal radial
entropy profile in two-dimensional galaxy discs with fixed power-law, halo
potentials. It was assumed that such density profiles are generated by star
scattering by clumps, waves, or other inhomogeneities. Here we generalize these
models to self-gravitating discs. The cylindrically symmetric Poisson equation
imposes strong constraints. Scattering processes favor smoothness, so the
smoothest solutions, which minimize entropy gradients, are preferred. In the
case of self-gravitating discs (e.g., inner discs), the gravity, surface
density and radial velocity dispersion in these smoothest models are all of the
form 1/r times an exponential. When vertical balance is included, the vertical
velocity dispersion squared has the same form as the surface density, and the
scale height is constant. In combined self-gravitating plus halo gravity cases,
the radial dispersion has an additional power-law term. Nonetheless, the
surface density profile has the same form at all radii, without breaks,
satisfying the disc-halo conspiracy. The azimuthal velocity and velocity
dispersions are smooth, though the former can have a distinct peak. In these
models the vertical dispersion increases inwards, and scattering may mediate a
transition to a secular bulge. If halo gravity dominates vertically in the
outer disc, it flares. The models suggest a correlation between disc mass and
radial scale length. The combination of smoothness, simplicity, ability to
match generic observational features and physical constraints is unique to
these models.

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The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
2
The categories of this paper are: math