论文标题

状态中子星方程的现象学参数模型中的隐式相关性

Implicit correlations within phenomenological parametric models of the neutron star equation of state

论文作者

Legred, Isaac, Chatziioannou, Katerina, Essick, Reed, Landry, Philippe

论文摘要

近年来,中子星天体物理探针的数量和精度的迅速增加,可以推断出其状态方程。观测值靶向中子星的不同宏观特性,这些恒星因恒星而异,例如质量和半径,但状态方程式允许对所有中子恒星进行共同描述。为了连接这些观察结果并同时推断密集物质和中子星的特性,引入了状态方程的模型。参数模型依赖于精心设计的功能形式,这些功能形式可以重现大量现实的状态方程。这样的模型从其简单性中受益,但由于任何有限参数模型都无法准确近似所有可能的状态方程。非参数模型通过以增加复杂性成本来增加模型自由来克服这一点。在这项研究中,我们比较了常见的参数和非参数模型,量化了前者的局限性,并研究了建模对我们当前对高密度物理学的理解的影响。我们表明,参数模型在密度尺度之间强烈依赖模型依赖性,有时是不透明的相关性。这种互密度相关性导致更严格的约束,这些约束不受数据的支持,并可能导致状态方程和单个中子星特性方程的偏见。

The rapid increase in the number and precision of astrophysical probes of neutron stars in recent years allows for the inference of their equation of state. Observations target different macroscopic properties of neutron stars which vary from star to star, such as mass and radius, but the equation of state allows for a common description of all neutron stars. To connect these observations and infer the properties of dense matter and neutron stars simultaneously, models for the equation of state are introduced. Parametric models rely on carefully engineered functional forms that reproduce a large array of realistic equations of state. Such models benefit from their simplicity but are limited because any finite-parameter model cannot accurately approximate all possible equations of state. Nonparametric models overcome this by increasing model freedom at the cost of increased complexity. In this study, we compare common parametric and nonparametric models, quantify the limitations of the former, and study the impact of modeling on our current understanding of high-density physics. We show that parametric models impose strongly model-dependent, and sometimes opaque, correlations between density scales. Such interdensity correlations result in tighter constraints that are unsupported by data and can lead to biased inference of the equation of state and of individual neutron star properties.

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