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arXiv 0802.1203astro-ph
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低恒星形成率的化学后果:对IMF的随机取样

Chemical consequences of low star formation rates: stochastically sampling the IMF

L. Carigi, X. Hernandez

摘要:

当估计由一个给定的恒星形成事件所产生的丰度时,通常将IMF视为一系列应用于恒星产额的权重因子,作为质量的函数,隐含地假设一个人正在处理无限的人口。然而,当恒星星族很小时,标准程序将意味着包含一定质量恒星的分数。我们通过对IMF进行统计抽样以从离散数量的恒星中形成恒星星族来研究小数统计对由此产生的丰度的影响。然后,化学进化代码遵循种群的进化,并追踪由此产生的丰度。重复该过程以获得所得丰度的统计分布及其演变。我们探讨的方式,不同的元素受到影响,以及如何不同的丰度收敛到无限的人口极限的总质量的增加。我们包括讨论我们的结果在矮球状星系的背景下,并显示最近报道的dSph星系的丰度比的内部分散体可能部分地解释通过引入低恒星形成率的随机效应,它可以占分散体超过2 dex在[C/O],[N/O],[C/Fe],[N/Fe]和[O/Fe]。

英文摘要:

When estimating the abundances which result from a given star formation event, it is customary to treat the IMF as a series of weight factors to be applied to the stellar yields, as a function of mass, implicitly assuming one is dealing with an infinite population. However, when the stellar population is small, the standard procedure would imply the inclusion of fractional numbers of stars at certain masses. We study the effects of small number statistics on the resulting abundances by performing an statistical sampling of the IMF to form a stellar population out of discrete numbers of stars. A chemical evolution code then follows the evolution of the population, and traces the resulting abundances. The process is repeated to obtain an statistical distribution of the resulting abundances and their evolution. We explore the manner in which different elements are affected, and how different abundances converge to the infinite population limit as the total mass increases. We include a discussion of our results in the context of dwarf spheroidal galaxies and show the recently reported internal dispersions in abundance ratios for dSph galaxies might be partly explained through the stochastic effects introduced by a low star formation rate, which can account for dispersions of over 2 dex in [C/O], [N/O], [C/Fe], [N/Fe] and [O/Fe].

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