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Higher-order moment models of dense stellar systems: applications to the modelling of the stellar velocity distribution function
Schneider, Justus1; Amaro-Seoane, Pau2,3; Spurzem, Rainer1,4,5
2011
发表期刊MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
卷号410期号:1页码:432-454
摘要Dense stellar systems such as globular clusters, galactic nuclei and nuclear star clusters are ideal loci to study stellar dynamics due to the very high densities reached, usually a million times higher than in the solar neighbourhood; they are unique laboratories to study processes related to relaxation. There are a number of different techniques to model the global evolution of such a system. We can roughly separate these approaches into two major groups: the particle-based models, such as direct N-body and Monte Carlo models, and the statistical models, in which we describe a system of a very large number of stars through a one-particle phase-space distribution function. In this approach we assume that relaxation is the result of a large number of two-body gravitational encounters with a net local effect. We present two moment models that are based on the collisional Boltzmann equation. By taking moments of the Boltzmann equation one obtains an infinite set of differential moment equations where the equation for the moment of order n contains moments of order n + 1. In our models we assume spherical symmetry but we do not require dynamical equilibrium. We truncate the infinite set of moment equations at order n = 4 for the first model and at order n = 5 for the second model. The collisional terms on the right-hand side of the moment equations account for two-body relaxation and are computed by means of the Rosenbluth potentials. We complete the set of moment equations with closure relations which constrain the degree of anisotropy of our model by expressing moments of order n + 1 by moments of order n. The accuracy of this approach relies on the number of moments included from the infinite series. Since both models include fourth-order moments we can study mechanisms in more detail that increase or decrease the number of high-velocity stars. The resulting model allows us to derive a velocity distribution function, with unprecedented accuracy, compared to previous moment models.
关键词Stars: Kinematics And Dynamics Globular Clusters: General Galaxies: Nuclei
DOI10.1111/j.1365-2966.2010.17454.x
收录类别SCI
语种英语
WOS记录号WOS:000285250400033
引用统计
被引频次:6[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.bao.ac.cn/handle/114a11/7998
专题星系宇宙学研究部
作者单位1.Univ Heidelberg, Zentrum Astron, Astron Rechen Inst, D-69120 Heidelberg, Germany
2.Albert Einstein Inst, Max Planck Inst Gravitat Phys, D-14476 Potsdam, Germany
3.CSIC IEEC, Inst Ciencies Espai, ES-08193 Barcelona, Spain
4.Chinese Acad Sci, Natl Astron Observ China, Beijing 100012, Peoples R China
5.Peking Univ, Kavli Inst Astron & Astrophys, Beijing, Peoples R China
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Schneider, Justus,Amaro-Seoane, Pau,Spurzem, Rainer. Higher-order moment models of dense stellar systems: applications to the modelling of the stellar velocity distribution function[J]. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY,2011,410(1):432-454.
APA Schneider, Justus,Amaro-Seoane, Pau,&Spurzem, Rainer.(2011).Higher-order moment models of dense stellar systems: applications to the modelling of the stellar velocity distribution function.MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY,410(1),432-454.
MLA Schneider, Justus,et al."Higher-order moment models of dense stellar systems: applications to the modelling of the stellar velocity distribution function".MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY 410.1(2011):432-454.
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