Abstract

This paper investigates an analytical illustration of ignition conditions for the aneutronic reaction of proton-boron plasma in the presence of the magnetic field for fusion. In particular, the criterion for this plasma target is derived through two-temperature Lindl–Widner diagrams. Since the heating and cooling terms in the energy balance equation are affected by inequality between ions and electrons temperature combined with the impact of the magnetic field, the reduction of energy loss as well as the areal density parameter will increase the fusion rate. It will also relax the requirements of ignition conditions. Therefore, numerical derivations of ignition conditions at stagnation are performed involving the energy balance equation. The additional parameter applied other than electron and ion temperature as well as areal density is the magnetic field dependent B/ρ. It is shown that as B/ρ develops the required areal density decreases. For ions temperature of T_i < 1000 keV and electrons temperature of T_e < 110 keV, the equation has real solutions for the areal density of ρR < 6 g/cm². Furthermore, it is shown that the B/ρ parameter can be set at approximately 10⁶ G cm³/g value. It shows the magnetic field has more effect than DT case and can reduce the driver requirements significantly. A comparison of this model with DT magnetized case shows that this model of p¹¹B fuel is intermediate between experimental results of p¹¹B non-magnetized and DT magnetized in the two-temperature model.

中文翻译：

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磁化目标聚变中p-11 B高级燃料的非平衡点火判据

摘要

本文研究了在存在聚变磁场的情况下质子-硼等离子体发生中子反应的点火条件的分析说明。特别是，通过两个温度的Lindl–Widner图得出了该等离子体目标的标准。由于能量平衡方程中的加热和冷却项受离子和电子温度之间的不等式以及磁场的影响，能量损失的减少以及面密度参数将提高融合速率。它还将放宽点火条件的要求。因此，涉及能量平衡方程式，进行停滞时点火条件的数值推导。B /ρ。结果表明，随着B /ρ的发展，所需的面密度降低。对于离子的温度Ť_我<1000千电子伏和电子温度Ť _Ë <110千电子伏，该方程具有用于ρ的面密度真正的解决方案- [R <为6g /厘米²。此外，示出了可以将B /ρ参数设置为大约10 ⁶  G cm ³ / g值。它表明磁场比DT情况具有更大的作用，并且可以显着降低驱动器要求。该模型与DT磁化情况的比较表明，该模型的p ¹¹在双温度模型中，B燃料介于未磁化的p ¹¹ B和DT磁化的实验结果之间。