Self-gravitating gas spheres in a box and relativistic clusters: Relation between dynamical and thermodynamical stability

被引：8
|
作者：
Bisnovatyi-Kogan, Gennady S.
Merafina, Marco
机构：
[1] Space Res Inst IKI, Moscow 117997, Russia
[2] Joint Inst Nucl Res, Dubna, Russia
[3] Univ Roma La Sapienza, Dept Phys, I-00185 Rome, Italy
来源：
ASTROPHYSICAL JOURNAL | 2006年 / 653卷 / 02期
关键词：
dense matter; galaxies : star clusters; hydrodynamics; instabilities; relativity;
D O I：
10.1086/508794
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We derive a variational principle for the dynamical stability of a cluster as a gas sphere in a box. Newtonian clusters are always dynamically stable, and for relativistic clusters, the relation between dynamical and thermodynamical instabilities is analyzed. The boundaries between dynamically and thermodynamically stable and unstable models are found numerically for relativistic stellar systems with different cutoff parameters. A criterion based on the binding energy curve is used for determination of the boundary of dynamical stability.
引用
收藏
页码：1445 / 1453
页数：9
相关论文
共 42 条
  • [1] Thermodynamical and dynamical stability of a self-gravitating charged thin shell
    Reyes, Luz Marina
    Chiapparini, Marcelo
    Perez Bergliaffa, Santiago Esteban
    [J]. EUROPEAN PHYSICAL JOURNAL C, 2022, 82 (02):
  • [2] Thermodynamical and dynamical stability of a self-gravitating uncharged thin shell
    Perez Bergliaffa, Santiago Esteban
    Chiapparini, Marcelo
    Reyes, Luz Marina
    [J]. EUROPEAN PHYSICAL JOURNAL C, 2020, 80 (08):
  • [3] Thermodynamical and dynamical stability of a self-gravitating uncharged thin shell
    Santiago Esteban Perez Bergliaffa
    Marcelo Chiapparini
    Luz Marina Reyes
    [J]. The European Physical Journal C, 2020, 80
  • [4] Thermodynamical and dynamical stability of a self-gravitating charged thin shell
    Luz Marina Reyes
    Marcelo Chiapparini
    Santiago Esteban Perez Bergliaffa
    [J]. The European Physical Journal C, 2022, 82
  • [5] Consistency between dynamical and thermodynamical stabilities for charged self-gravitating perfect fluid
    Yang, Wei
    Fang, Xiongjun
    Jing, Jiliang
    [J]. GENERAL RELATIVITY AND GRAVITATION, 2021, 53 (08)
  • [6] Consistency between dynamical and thermodynamical stabilities for charged self-gravitating perfect fluid
    Wei Yang
    Xiongjun Fang
    Jiliang Jing
    [J]. General Relativity and Gravitation, 2021, 53
  • [7] THERMODYNAMICAL AND DYNAMICAL EVOLUTION OF A SELF-GRAVITATING OBJECT AND THE INFLUENCE OF IONIZATION
    DIFAZIO, A
    PALLA, F
    [J]. ASTROPHYSICS AND SPACE SCIENCE, 1981, 76 (02) : 391 - 415
  • [8] THERMAL CONDUCTION AND THE STABILITY OF SELF-GRAVITATING SPHERES
    HERRERA, L
    JIMENEZ, J
    BARRETO, W
    ESCULPI, M
    LEDENMAT, G
    SANTOS, NO
    [J]. ASTROPHYSICS AND SPACE SCIENCE, 1990, 165 (02) : 211 - 218
  • [9] THE PROPAGATION OF SHOCK WAVES IN SELF-GRAVITATING GAS SPHERES
    KOPAL, Z
    [J]. ASTROPHYSICAL JOURNAL, 1954, 120 (01): : 159 - 171
  • [10] Stability and Instability of Self-Gravitating Relativistic Matter Distributions
    Hadzic, Mahir
    Lin, Zhiwu
    Rein, Gerhard
    [J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2021, 241 (01) : 1 - 89
12345