探索 MagLIF 内爆的参数空间使用相似性缩放。I. 理论框架
Exploring the parameter space of MagLIF implosions using similarity scaling. I. Theoretical framework
AI总结：
本文提出MagLIF内爆的简化分析模型，通过无量纲分析确定关键参数，并基于相似性缩放理论探索参数空间以估计缩放负载性能。
摘要：
磁惯性聚变（MIF）概念，如 Magnetized Liner Inertial Fusion (MagLIF) 平台 [M. R. Gomez 等，Phys. Rev. Lett. 113, 155003 (2014)]，构成在实验室中实现点火和显著聚变产额的有前途的途径。定义 MagLIF 负载的实验输入参数空间是高度多维的，且内爆本身是一个涉及许多物理过程的复杂事件。在本系列的第一篇论文中，我们开发了一个简化的分析模型，识别了 MagLIF 内爆期间起作用的主要物理过程。使用无量纲分析，我们确定了表征 MagLIF 内爆的最重要的无量纲参数，并使用 MagLIF 典型的部署或实验观察量提供了这些参数的估计。然后我们表明，MagLIF 负载可以被“不完全”相似性缩放，这意味着 MagLIF 的实验输入参数可以被改变，使得许多（但不是全部）无量纲量被保持。基于相似性缩放论证，我们可以探索 MagLIF 负载的参数空间并估计缩放负载的性能。在本系列的后续论文中，我们针对两种不同的缩放“向量”（包括电流缩放和上升时间缩放），测试了 MagLIF 负载的相似缩放理论。
英文摘要：
Magneto-inertial fusion (MIF) concepts, such as the Magnetized Liner Inertial Fusion (MagLIF) platform [M. R. Gomez et al., Phys. Rev. Lett. 113, 155003 (2014)], constitute a promising path for achieving ignition and significant fusion yields in the laboratory. The space of experimental input parameters defining a MagLIF load is highly multi-dimensional, and the implosion itself is a complex event involving many physical processes. In the first paper of this series, we develop a simplified analytical model that identifies the main physical processes at play during a MagLIF implosion. Using non-dimensional analysis, we determine the most important dimensionless parameters characterizing MagLIF implosions and provide estimates of such parameters using typical fielded or experimentally observed quantities for MagLIF. We then show that MagLIF loads can be "incompletely" similarity scaled, meaning that the experimental input parameters of MagLIF can be varied such that many (but not all) of the dimensionless quantities are conserved. Based on similarity-scaling arguments, we can explore the parameter space of MagLIF loads and estimate the performance of the scaled loads. In the follow-up papers of this series, we test the similar scaling theory for MagLIF loads against simulations for two different scaling "vectors", which include current scaling and rise-time scaling.
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