Self‐Gravitating Gas Spheres in a Box and Relativistic Clusters: Relation between Dynamical and Thermodynamical Stability | Zendy

Г. С. Бисноватый-Коган | Zendy; Marco Merafina | Zendy

Open Access

Self‐Gravitating Gas Spheres in a Box and Relativistic Clusters: Relation between Dynamical and Thermodynamical Stability

Author(s) -

Г. С. Бисноватый-Коган,

Marco Merafina

Publication year - 2006

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/508794

Subject(s) - physics , cluster (spacecraft) , stability (learning theory) , cutoff , classical mechanics , boundary (topology) , newtonian fluid , spheres , hard spheres , relation (database) , statistical physics , thermodynamics , mathematical analysis , quantum mechanics , mathematics , programming language , astronomy , machine learning , computer science , database

We derive a variational principle for the dynamical stability of a cluster asa gas sphere in a box. Newtonian clusters are always dynamically stable and,for relativistic clusters, the relation between dynamical and thermodynamicalinstabilities is analyzed. The boundaries between dynamically andthermodynamically stable and unstable models are found numerically forrelativistic stellar systems with different cut off parameters. A criterionbased on binding energy curve is used for determination of the boundary ofdynamical stability.Comment: 10 figure

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