轨道铁磁性与Krasekhar质量极限
Orbital Ferromagnetism and the Chandrasekhar Mass-Limit
摘要：
本文利用相对论简并磁性致密星的量子磁流体动力学（MHD）和磁流体静力学（MHS）模型，揭示了Landau轨道铁磁性（LOFER）对这类恒星磁引力稳定性的根本作用。结果表明，以前提出的磁状态方程的LOFER与一些推广的形式$B=βρ^{2s/3}$只在范围内的$0\leq s\leq 1$和$0\leq β< \sqrt{2π}$导致磁引力稳定性与明确的临界值$β_{cr}=\sqrt{2π}$控制的磁流体静力学稳定性的紧凑型恒星。此外，参数$s$和$β$的值被证明从根本上控制量子和Krasekhar引力坍缩机制和以前发现的质量限制白矮星。目前的发现可以帮助理解磁性的起源及其对许多白矮星和中子星中遇到的相对论简并超致密磁化物质的稳定性的不可避免的作用。
英文摘要：
In this paper, using both quantum magnetohydrodynamic (MHD) and magnetohydrostatic (MHS) models of a relativistically degenerate magnetic compact star, the fundamental role of Landau orbital ferromagnetism (LOFER) on the magneto-gravitational stability of such star is revealed. It is shown that the previously suggested magnetic equation of state for LOFER with some generalization of form $B=βρ^{2s/3}$ only within the range $0\leq s\leq 1$ and $0\leq β< \sqrt{2π}$ leads to magneto-gravitational stability with distinct critical value $β_{cr}=\sqrt{2π}$ governing the magnetohydrostatic stability of the compact star. Furthermore, the value of the parameters $s$ and $β$ is shown to fundamentally control both the quantum and Chandrasekhar gravitational collapse mechanisms and the previously discovered mass-limit on white dwarfs. Current findings can help to understand the origin of magnetism and its inevitable role on the stability of the relativistically degenerate super-dense magnetized matter encountered in many white-dwarfs and neutron stars.
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