Abstract Relations between global asteroseismic quantities allow us to derive fundamental stellar parameters. To obtain an insight into solar-like pulsators by an accurate estimate of stellar property requires to explore various scaling relations other than commonly-exploited ones as well as to calibrate the dependence of those over a range of metallicity, mass and evolutionary status of stars. We investigate statistical properties of the width of the Gaussian envelope δνenv for the stellar oscillation power excess by analyzing light curves of 160 stars observed with short-cadence mode by Kepler. We consider the envelope width as important because it measures the efficiency of excitation and damping of solar-like oscillations due to the turbulence in the outer convective envelope. We attempt to fit a single slope power-law and a broken power-law to relations of δνenv with νmax and Δν resulting from three different background models, each of which delineates the red-noise of the stellar power spectrum. A goodness of fit is provided in term of χ2. In the case of a single slope fit the resulting slope ends up with δνenv/μHz∝(νmax/μHz) ∼ 1.47 and δνenv/μHz∝(Δν/μHz) ∼ 1.83 on average, which is somewhat steeper than a previous outcome for red giants. Fitting with two distinct slopes at breaks of νmax ∼ 850 μHz and Δν ∼ 50 μHz, however, suits in the power-law fit than with a single slope in general. Direct fitting in ν max − n env plot yields the power-law index +0.53, apparently steeper than previously reported slope from red giants. The origin of breaks can be illustrated by the attributes in the δνenv-distribution of main-sequence and sub-giant stars in the seismic H-R diagram.

中文翻译：

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恒星振荡功率过剩宽度的标度关系

摘要 全球星震量之间的关系使我们能够推导出基本的恒星参数。为了通过对恒星属性的准确估计来深入了解类太阳脉动器，需要探索除普遍利用的比例关系之外的各种比例关系，以及校准这些比例关系对恒星金属丰度、质量和演化状态的依赖性。我们通过分析开普勒以短节奏模式观察到的 160 颗恒星的光变曲线，研究了恒星振荡功率过剩的高斯包络宽度 δνenv 的统计特性。我们认为包络宽度很重要，因为它测量了由于外部对流包络中的湍流引起的类太阳振荡的激发和阻尼效率。我们试图将单斜率幂律和断幂律拟合到 δνenv 与 νmax 和 Δν 之间的关系，这些关系来自三个不同的背景模型，每个模型都描绘了恒星功率谱的红噪声。根据 χ2 提供拟合优度。在单斜率拟合的情况下，所得斜率最终平均为 δνenv/μHz∝(νmax/μHz) ∼ 1.47 和 δνenv/μHz∝(Δν/μHz) ∼ 1.83，这比之前的红色结果略陡巨人。然而，在 νmax ∼ 850 μHz 和 Δν ∼ 50 μHz 的中断处使用两个不同的斜率拟合，比一般的单个斜率更适合幂律拟合。直接拟合 ν max - n env 图产生幂律指数 +0.53，显然比先前报道的红巨星斜率更陡峭。