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Table 4
Symbols and their definition for the hot atmosphere and cooling process.
| Symbol | Definition |
|
|
|
| M hot | Hot atmosphere mass [Eqs. (19), (43), Fig. 3] |
| ρg(r) | Hot atmosphere radial density profile [Eq. (43)] |
| T 0 | Hot atmosphere central temperature [Eq. (45)] |
|
Radial density profile (ideal gas) [Eq. (44)] |
| Pid(r) | Radial pressure profile (ideal gas) [Eq. (44)] |
| ρ g,0 | Hot gas central density [Eqs. (47), (50), (B.5)] |
| ℱid(x) | Geometrical function (density profile) [Eqs. (48), (47)] |
| Φ(x) | Geometrical function (density profile) [Eqs. (49), (48)] |
| c dm | Dark-matter halo concentration [Eq. (6)] |
| Ppoly(r) | Radial pressure profile (polytropic gas) [Eq. (B.1)] |
|
Radial density profile (polytropic gas) [Eqs. (B.1), (B.2)] |
| Tpoly(r) | Radial temperature profile (polytropic gas) [Eq. (B.1)] |
| ℱpoly(x) | Geometrical function (density profile) [Eqs. (B.3), (B.2)] |
|
(Mass-)average temperature [Eqs. (B.4), (B.6)] |
|
Minimal central temperature [Eq. (B.8)] |
| t(r) | Cooling time function [Eq. (51)] |
| Z g | Hot gas metalicity [Eq. (51)] |
| r cool | Cooling radius [Eq. (51)] |
| t cool | Effective cooling time [Eq. (51)] |
| Ṁ cool | Cooling rate [Eq. (54)] |
Notes. Symbols are listed in order of appearance.
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