周期化磁介质中中子星外层包层的微观物理
Microphysics of Neutron Star Outer Envelopes in the Periodized, Magnetic Thomas-Fermi Model
摘要：
在非线性磁介质中，采用简并电子模型，计算了中子星低密度外包层的静态和动态性质。一种新的区域分解，使适当的描述晶格对称性，并可能被视为一个原型的一般类的问题，涉及非线性电荷屏蔽的周期性，准低维结构，例如液晶。我们描述了一个可扩展的实现的方法使用Hypre。发现长波长横向声子的相速度比相应的库仑晶体模型大5-7倍，这可能对低温声子介导的热导率有影响。其他发现包括体心立方和面心立方晶格的$c'<0$弹性不稳定性，这让人想起一些轻锕系元素的情况，并暗示了向四方晶系或斜方晶系晶格的低密度过渡。
英文摘要：
Static and dynamic properties of low density outer envelopes of neutron stars are calculated within the nonlinear magnetic Thomas-Fermi model, assuming degenerate electrons. A novel domain decomposition enables proper description of lattice symmetry and may be seen as a prototype for the general class of problems involving nonlinear charge screening of periodic, quasi-low-dimensionality structures, e.g. liquid crystals. We describe a scalable implementation of the method using Hypre. Phase velocity of long wavelength transverse phonons is found to be a factor of 5-7 larger than in the corresponding Coulomb crystal model, which could have implications for low temperature phonon-mediated thermal conductivity. Other findings include $c'<0$ elastic instabilities for both bcc and fcc lattices, reminiscent of the situation in some light actinides, and suggestive of a symmetry-lowering transition to a tetragonal or orthorhombic lattice.
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