论文标题

带有自适应平行回火I的星点映射I:计算代码的实现

Starspot mapping with adaptive parallel tempering I: Implementation of computational code

论文作者

Ikuta, Kai, Maehara, Hiroyuki, Notsu, Yuta, Namekata, Kosuke, Kato, Taichi, Notsu, Shota, Okamoto, Soshi, Honda, Satoshi, Nogami, Daisaku, Shibata, Kazunari

论文摘要

星形被认为是局部强磁场的区域,类似于黑子,它们可以产生光度亮度调制。为了推断出恒星和斑点属性,例如斑点出现和衰减率,我们为星形建模实施计算代码。它是通过自适应平行回火算法和贝叶斯框架中参数估计和模型选择的重要性采样算法实现的。为了评估代码的性能,我们将其应用于3个斑点产生的合成光曲线。光曲线在点参数中指定,例如半径,强度,纬度,纵向和出现/衰减持续时间。这些斑点是圆形的,相对于光电,具有指定的半径和强度,并且在光曲线中也包括出色的差异旋转系数。结果,唯一推导出恒星和点参数。正确确定了斑点的数量:3点模型是可取的,因为模型证据大大远远大于通过数量级的数量级,比2次模型的模型大于一个较小的因子,而在一个赤道旋转期间,通过调节耐受性值,在一个赤道旋转期间产生了2或1个局部最小值。考虑到斑点数量的差异,可以用误差小于数量级的误差估计斑点出现和衰减率。

Starspots are thought to be regions of locally strong magnetic fields, similar to sunspots, and they can generate photometric brightness modulations. To deduce stellar and spot properties, such as spot emergence and decay rates, we implement computational code for starspot modeling. It is implemented with an adaptive parallel tempering algorithm and an importance sampling algorithm for parameter estimation and model selection in the Bayesian framework. For evaluating the performance of the code, we apply it to synthetic light curves produced with 3 spots. The light curves are specified in the spot parameters, such as the radii, intensities, latitudes, longitudes, and emergence/decay durations. The spots are circular with specified radii and intensities relative to the photosphere, and the stellar differential rotation coefficient is also included in the light curves. As a result, stellar and spot parameters are uniquely deduced. The number of spots is correctly determined: the 3-spot model is preferable because the model evidence is much greater than that of 2-spot models by orders of magnitude and more than that of 4-spot model by a more modest factor, whereas the light curves are produced to have 2 or 1 local minimum during one equatorial rotation period by adjusting the values of longitude. The spot emergence and decay rates can be estimated with error less than an order of magnitude, considering the difference of the number of spots.

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