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Virial

Definitions

  • Webster's Revised Unabridged Dictionary
    • n Virial (Physics) A certain function relating to a system of forces and their points of application, -- first used by Clausius in the investigation of problems in molecular physics.
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Century Dictionary and Cyclopedia
    • n virial The sum of the attractions between all the pairs of particles of a system, each multiplied by the distance between the pair.
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Etymology

Webster's Revised Unabridged Dictionary
L. vis, viris, force

Usage


In science:

Additional scatter in the L − T data for groups is introduced by the variable physical extents of the X-ray observations relative to the virial radius for each group.
Entropy Evolution in Galaxy Groups and Clusters; A Comparison of External and Internal Heating
This structure is assumed to have the standard NFW (Navarro, Frenk & White 1996) halo profile for which the virial mass is vir ∆c ρc .
Entropy Evolution in Galaxy Groups and Clusters; A Comparison of External and Internal Heating
We consider four levels of pre-heating for each of the three virial masses.
Entropy Evolution in Galaxy Groups and Clusters; A Comparison of External and Internal Heating
With increasing virial mass, each cluster of four models (1 → 4) becomes more compact in Figure 1a since Tpre ≪ Tvir is satisfied for the largest Mvir, even with the maximum amount of pre-heating.
Entropy Evolution in Galaxy Groups and Clusters; A Comparison of External and Internal Heating
Small deviations from this relation occur with increased pre-heating and smaller virial masses, just as one would expect.
Entropy Evolution in Galaxy Groups and Clusters; A Comparison of External and Internal Heating
The entropy just behind the strong accretion shock increases with virial mass.
Entropy Evolution in Galaxy Groups and Clusters; A Comparison of External and Internal Heating
For the DO models discussed here the dropout term is applied to the baryonic gas within the current virial radius; at earlier times only a very small amount of dropout occurs in the low-density pre-shock cosmological flow.
Entropy Evolution in Galaxy Groups and Clusters; A Comparison of External and Internal Heating
Cooled mass profiles for representative DO group and cluster models are shown in Figure 5 and the total dropout mass within the virial radius Mcold is listed in Table 3.
Entropy Evolution in Galaxy Groups and Clusters; A Comparison of External and Internal Heating
In addition the virial radius must be estimated to derive S0.1 from the observations.
Entropy Evolution in Galaxy Groups and Clusters; A Comparison of External and Internal Heating
The virial radius rvir is shown with a vertical dashed line.
Entropy Evolution in Galaxy Groups and Clusters; A Comparison of External and Internal Heating
The dotted line is the relation between virial temperature and mass.
The impact of galaxy formation on X-ray groups
K) within the virial radius of the group, each with mass, mi, density, ρi and temperature, Ti .
The impact of galaxy formation on X-ray groups
Lower-mass groups have X-ray temperatures in excess of their virial temperatures (Tvir ∝ M 2/3 200, dotted line), as expected from the increase in entropy of these systems.
The impact of galaxy formation on X-ray groups
The ratio between X-ray temperature and dark matter velocity dispersion, βspec, versus virial temperature for groups in the fiducial model (stars).
The impact of galaxy formation on X-ray groups
Fractional difference in X-ray temperature (stars) and luminosity (squares) between matched haloes in the simulations with and without feedback, as a function of virial temperature.
The impact of galaxy formation on X-ray groups
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