arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1006.4697astro-ph.SRastro-ph.HE
收藏

核塌缩超新星中Alfven面的动力学

Dynamics of an Alfven surface in core collapse supernovae

Jerome Guilet, Thierry Foglizzo, Sebastien Fromang

摘要:

我们调查的阿尔文面(阿尔文速度等于平流速度)的背景下,核心坍缩超新星在吸积阶段的原中子星的动力学。这样的表面即使在弱磁场下也应该存在,因为在坍缩的核心中心,平流速度会降到零。在这个减速流,阿尔芬波所产生的不稳定性(SASI)或对流积累和放大,而接近阿尔芬表面。我们研究这种放大使用一维MHD模拟与明确的物理耗散。在线性状态下,放大继续,直到阿尔芬波长变得与耗散尺度一样小。通过非线性耦合产生增加上游流中压力的压力反馈。我们推导出最大放大率和非线性耦合的解析公式,并用数值模拟进行了检验,结果具有很好的精度。我们还描述了这种放大的非线性饱和时,压缩效应变得重要,导致速度梯度的变化,或变陡的阿尔芬波。将这些结果应用于核心坍缩超新星表明,如果磁场足够强,使阿尔芬表面位于中微子层上方的强速度梯度区域,放大可以快到足以影响动力学。这需要在祖先恒星中存在一个强大的磁场,在磁通量守恒的假设下,这将对应于磁星的形成。对我们的解析公式进行外推(考虑到非线性饱和度)表明,阿尔芬波的振幅可以达到B ~ 10^15 G,并且压力反馈对激波下方的压力有很大的贡献。

英文摘要:

We investigate the dynamics of an Alfven surface (where the Alfven speed equals the advection velocity) in the context of core collapse supernovae during the phase of accretion on the proto-neutron star. Such a surface should exist even for weak magnetic fields because the advection velocity decreases to zero at the center of the collapsing core. In this decelerated flow, Alfven waves created by the standing accretion shock instability (SASI) or convection accumulate and amplify while approaching the Alfven surface. We study this amplification using one dimensional MHD simulations with explicit physical dissipation. In the linear regime, the amplification continues until the Alfven wavelength becomes as small as the dissipative scale. A pressure feedback that increases the pressure in the upstream flow is created via a non linear coupling. We derive analytic formulae for the maximum amplification and the non linear coupling and check them with numerical simulations to a very good accuracy. We also characterize the non linear saturation of this amplification when compression effects become important, leading to either a change of the velocity gradient, or a steepening of the Alfven wave. Applying these results to core collapse supernovae shows that the amplification can be fast enough to affect the dynamics, if the magnetic field is strong enough for the Alfven surface to lie in the region of strong velocity gradient just above the neutrinosphere. This requires the presence of a strong magnetic field in the progenitor star, which would correspond to the formation of a magnetar under the assumption of magnetic flux conservation. An extrapolation of our analytic formula (taking into account the nonlinear saturation) suggests that the Alfven wave could reach an amplitude of B ~ 10^15 G, and that the pressure feedback could significantly contribute to the pressure below the shock.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑