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arXiv 1003.6031astro-ph.SR
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中子星合并中磁化Kelvin-Helmholtz不稳定性的局域模拟

Local simulations of the magnetized Kelvin-Helmholtz instability in neutron-star mergers

M. Obergaulinger, M. A. Aloy, E. Müller

摘要:

上下文全球磁流体动力学模拟表明,在两颗合并的中子星的接触面存在开尔文-亥姆霍兹(KH)不稳定性。该区域已被确定为磁场有效放大的部位。然而,由于数值限制,这些全局模拟无法确定场强的饱和水平,因此无法确定磁场对流动的可能反作用。目标。我们研究了KH不稳定剪切流中初始弱场的放大,以及场对流的反作用。方法.我们使用一个高分辨率的理想MHD代码进行二维和三维局部模拟的剪切流。结果在2D中,磁场在小于0.01ms内被放大,直到其与动能达到局部均分。随后,它饱和,由于电阻的不稳定性,扰乱KH涡和减速的剪切流在长期的时间尺度上。我们确定了场放大率与初始场强和网格分辨率的标度律。在3D中,这种磁流体机制可能由限制放大的纯流体动力学不稳定性主导。我们发现局部最大磁场为10^16 G,均方根值为10.16 G。最大值在10^15 G的框内。然而,这种强磁场只存在很短的时间。在饱和状态下,磁场的取向主要平行于剪切流的强初始场,而较弱的初始场往往导致更平衡的场能量分布。在所有模型中,流动都表现出小尺度特征。磁场至多与衰减剪切流均分。(节略)

英文摘要:

Context. Global MHD simulations show Kelvin-Helmholtz (KH) instabilities at the contact surface of two merging neutron stars. That region has been identified as the site of efficient amplification of magnetic fields. However, these global simulations, due to numerical limitations, were unable to determine the saturation level of the field strength, and thus the possible back-reaction of the magnetic field onto the flow. Aims. We investigate the amplification of initially weak fields in KH unstable shear flows, and the back-reaction of the field onto the flow. Methods. We use a high-resolution ideal MHD code to perform 2D and 3D local simulations of shear flows. Results. In 2D, the magnetic field is amplified in less than 0.01ms until it reaches locally equipartition with the kinetic energy. Subsequently, it saturates due to resistive instabilities that disrupt the KH vortex and decelerate the shear flow on a secular time scale. We determine scaling laws of the field amplification with the initial field strength and the grid resolution. In 3D, this hydromagnetic mechanism may be dominated by purely hydrodynamic instabilities limiting the amplification. We find maximum magnetic fields of 10^16 G locally, and r.m.s. maxima within the box of 10^15 G. However, such strong fields exist only for a short period. In the saturated state, the magnetic field is mainly oriented parallel to the shear flow for strong initial fields, while weaker initial fields tend to lead to a more balanced distribution of the field energy. In all models the flow shows small-scale features. The magnetic field is at most in equipartition with the decaying shear flow. (abridged)

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