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arXiv 0901.0653astro-ph.SR
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磁性Ap星的经验化学分层:唯一性问题

Empirical chemical stratifications in magnetic Ap stars: questions of uniqueness

M. J. Stift, G. Alecian

摘要:

在过去的几十年里,模拟的不均匀垂直丰度分布的各种化学元素在磁性特有的A型在很大程度上依赖于简单的阶梯函数近似。相比之下,最近推出的正则化垂直逆问题(VIP)是不是基于参数化的分层配置文件,并已被要求产生独特的解决方案,而无需先验假设的轮廓形状。本文的中心问题是经验分层的独特性问题。误差分析建立置信区间的丰度配置文件,它表明,许多不同的阶跃函数,有时有很大的不同幅度给适合所观察到的光谱,等于VIP适合的质量。理论上的论点是先进的赞成丰度的配置文件,依赖于磁纬度,即使在中等强度的磁场。包括云模型、帽模型和环模型的讨论表明,如果没有相位分辨的高信噪比(S/N)和高光谱分辨率(R)的偏振分光光度计,在所有4个Stokes参数下,解的唯一性是不可能实现的。

英文摘要:

Over the last decades, modelling of the inhomogeneous vertical abundance distributions of various chemical elements in magnetic peculiar A-type has largely relied on simple step-function approximations. In contrast, the recently introduced regularised vertical inverse problem (VIP) is not based on parametrised stratification profiles and has been claimed to yield unique solutions without a priori assumptions as to the profile shapes. It is the question of uniqueness of empirical stratifications which is at the centre of this article. An error analysis establishes confidence intervals about the abundance profiles and it is shown that many different step-functions of sometimes widely different amplitudes give fits to the observed spectra which equal the VIP fits in quality. Theoretical arguments are advanced in favour of abundance profiles that depend on magnetic latitude, even in moderately strong magnetic fields. Including cloud, cap and ring models in the discussion, it is shown that uniqueness of solutions cannot be achieved without phase resolved high signal-to-noise ratio (S/N) and high spectral resolution (R) spectropolarimetry in all 4 Stokes parameters.

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