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arXiv 1807.07077astro-ph.GA
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非哈密顿背景下的多恒星星族合成理论

Theory of multiple-stellar population synthesis in a non-Hamiltonian setting

S. Pasetto, D. Crnojević, G. Busso, C. Chiosi, L. P. Cassarà

摘要:

我们的目标是调查之间存在的联系的密度配置文件的恒星人口用来定义一个引力约束恒星系统和他们的恒星形成的历史:我们这样做,通过开发一个通用的框架,占经典的恒星星族理论和经典的恒星动力学。我们将Pasetto等人(2012)关于单个复合恒星星族(CSP)的工作扩展到多个CSP,包括CSP概念的相空间描述。在这个框架中,我们使用分布函数的概念来定义CSP的质量,金属丰度,和相空间中的一个合适的空间的存在$\mathbb{E}$的CSP。引入$\mathbb{E}$叶理的概念,将CSP形式化地描述为不相交的简单星族(SSP)之和,旨在为恒星星族理论和恒星动力学理论的方程组的建立提供一个更一般的形式化背景.在这样做时,我们允许CSP的耗散过程的对象,从而发展其动力学在一个一般的非哈密顿框架。此外,我们调查的必要条件和充分条件,以实现多个CSP符合其质量金属丰度和相空间分布函数在其时间演化,为无碰撞CSP。最后,分析和数值算例表明了所得结果的潜力。

英文摘要:

We aim to investigate the connections existing between the density profiles of the stellar populations used to define a gravitationally bound stellar system and their star formation history: we do this by developing a general framework accounting for both classical stellar population theory and classical stellar dynamics. We extend the work of Pasetto et al. (2012) on a single composite-stellar population (CSP) to multiple CSPs, including also a phase-space description of the CSP concept. In this framework, we use the concept of distribution function to define the CSP in terms of mass, metallicity, and phase-space in a suitable space of existence $\mathbb{E}$ of the CSP. We introduce the concept of foliation of $\mathbb{E}$ to describe formally any CSP as sum of disjointed Simple Stellar Populations (SSP), with the aim to offer a more general formal setting to cast the equations of stellar populations theory and stellar dynamics theory. In doing so, we allow the CSP to be object of dissipation processes thus developing its dynamics in a general non-Hamiltonian framework. Furthermore, we investigate the necessary and sufficient condition to realize a multiple CSP consistent with its mass-metallicity and phase-space distribution function over its temporal evolution, for a collisionless CSP. Finally, analytical and numerical examples show the potential of the result obtained.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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