论文标题

部分可观测时空混沌系统的无模型预测

Direct Emission of Strong Radio Pulses During Magnetar Flares

论文作者

Thompson, Christopher

论文摘要

储层计算是预测湍流的有力工具,其简单的架构具有处理大型系统的计算效率。然而,其实现通常需要完整的状态向量测量和系统非线性知识。我们使用非线性投影函数将系统测量扩展到高维空间,然后将其输入到储层中以获得预测。我们展示了这种储层计算网络在时空混沌系统上的应用,该系统模拟了湍流的若干特征。我们表明,使用径向基函数作为非线性投影器,即使只有部分观测并且不知道控制方程,也能稳健地捕捉复杂的系统非线性。最后,我们表明,当测量稀疏、不完整且带有噪声,甚至控制方程变得不准确时,我们的网络仍然可以产生相当准确的预测,从而为实际湍流系统的无模型预测铺平了道路。

The emission of intense radio pulses by flaring magnetars is investigated. Small-scale current gradients can be imprinted into a strongly magnetized outflow by the same processes that source fireball radiation in the closed magnetosphere. This structure arises from a combination of crustal yielding, internal tearing, and turbulent cascade. We consider the quasi-linear development of weak, small-scale currents as (i) they are stretched out and frozen by relativistic expansion and then (ii) pass through a shock. In particular, we derive the amplitudes of the ordinary and fast waves that emerge downstream of a relativistically magnetized shock in response to a mode that is frozen into the upstream flow (a frozen Alfvén wave or entropy wave). An upstream mode with comoving wavelength exceeding the skin depth can linearly convert to a secondary mode propagating above the plasma frequency. A simple and accurate treatment of shocks with extreme magnetization is developed, and the formation of internal shocks in the outflow from a bursting, rotating magnetar is outlined. The emission process described here does not require a strong shock or cool $e^\pm$ pairs (in contrast with the electromagnetic maser shock instability). In some cases, a high-frequency wave is reflected back to the observer, but with a minuscule amplitude that makes it subdominant to other emission channels. The dominant secondary electromagnetic mode is superluminal at emission, is subject to weak induced scattering within the outflow, and can reach the observer in the radio band.

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