On core collapse

Computer Science – Numerical Analysis

Scientific paper

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Globular Clusters, Gravitational Collapse, Stellar Cores, Stellar Motions, Conductive Heat Transfer, Hydrostatics, Numerical Analysis, Radiative Heat Transfer

Scientific paper

The results of a critical investigation of the behavior of the core, based on a linear stability analysis of an isothermal gas sphere, are presented. For some choices the core mass shrinks significantly, while for others it remains constant or even increases. Different physical systems correspond to these different choices. Gaseous systems such as contracting gas clouds with a heat transport based on radiative transfer exhibit a heat conductivity that decreases in the high-density core. When they are isothermal, they will increase their core mass during contraction. When heat transport takes place mostly through thermal conduction by electrons, the core mass will remain nearly constant. Stellar dynamical systems such as globular star clusters have a heat conductivity which strongly peaks toward the central regions, resulting in a rapid shrinking of the core mass.

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