Structure of polytropic models of stars containing poloidal magnetic fields

Structure of polytropic models of stars containing poloidal magnetic fields
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含有极向磁场的恒星多方模型的结构

DOI:
10.1007/bf00637003
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发表时间:
1975
影响因子:
1.9
通讯作者:
M. Miketinac
M. Miketinac
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
M. Miketinac

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通过对控制内部结构的精确方程组进行数值积分,建立了具有极向磁场的无限电导率轴对称平衡星的多方模型。所用的数学方法是对斯托克利方法的进一步推广和改进,它允许建立一系列平衡模型,从一个球对称的星星(当没有磁场时)开始,到一个甜甜圈形状的物体(当磁场很强时)结束--这一事实已经被莫纳汉证明了。详细的结果只给出了两个多面体与指数n =1.5和3.0,虽然任何其他值的n大于或等于1可以被选择。与Monaghan的结果相反,发现在n =3.0的组态序列中,沿着磁引力比在达到甜甜圈形组态之前达到峰值,但这种效应并不表征n =1.5的组态序列。然而,计算结果证实了莫纳汉的另一个结论,即磁场是多变指数的一个相当不敏感的函数。
Polytropic models of axially-symmetric equilibrium stars of infinite conductivity with poloidal magnetic fields are constructed by numerical integration of the exact equations governing internal structure. The mathematical method used, a further generalization and improvement of Stoeckly's method, allows the construction of a sequence of equilibrium models starting with a spherically symmetric star (when no magnetic field is present) and terminating with a doughnut-shaped object (for a very strong magnetic field) — a fact already shown by Monaghan. Detailed results are given only for two polytropes with the indexn=1.5 and 3.0, although any other value ofn greater than or equal to one could have been selected. Contrary to Monaghan's results, it is found that along the sequence of configurations forn=3.0 the ratio of the magnetic and gravitational energy peaks out before a doughnut-shaped configuration is reached; but this effect does not characterize then=1.5 sequence. The calculations confirm, however, another result of Monaghan asserting that the magnetic field is a fairly insensitive function of the polytropic index.
DOI: --
发表时间: 2007
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影响因子: --
作者:
Takayuki Muto;Masahiro N.;Machida;Shu-ichiro Inutsuka;Takayuki Muto and Shu-ichiro Inutsuka
通讯作者: Takayuki Muto and Shu-ichiro Inutsuka