In this research, the transition from equilibrium ignition to non-equilibrium burn is evaluated by calculating the energy balance equations analytically for targets which consist of inner DD fuel and surrounded by a high-Z pusher. It is expected that these targets can trap much of the produced charged particles, radiation or even fast neutrons because of their high-Z pusher. Accordingly, DD fuel can be ignited in volume ignition regime with low ignition temperatures of 35 keV compared to central ignition. Thus, to get a non-equilibrium burning stage, we have examined all the important gain and loss processes for these targets as the energy deposition of fusion products, thermal conduction, radiation flux, mechanical work, bremsstrahlung radiation and inverse Compton scattering as well as competition among them. These conditions have investigated for different areal densities of DD fuel in ρR ~ 1–100 g/cm2 and it is shown that as areal density rises, transition temperature decreases. But at high areal densities, the transition temperature does not vary significantly and the limiting temperature of ~ 20 keV will be obtained. Also, transition into non-equilibrium burn is studied for such cases that thermonuclear burn occurs at stagnation moment, before and after that. It is observed that the positive and negative role of mechanical work on the transition conditions is very important and varies transition temperature remarkably. In all cases, transition temperature to non-equilibrium burn phase is always much lower than ideal ignition temperature in specific areal density.

中文翻译：

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DD燃料在简单球形目标中过渡到非平衡燃烧阶段的基本要求

在这项研究中，通过分析计算由内部 DD 燃料组成并被高 Z 推进器包围的目标的能量平衡方程，评估从平衡点火到非平衡燃烧的转变。预计这些目标可以捕获大部分产生的带电粒子、辐射甚至快速中子，因为它们具有高 Z 推进器。因此，与中心点火相比，DD 燃料可以在体积点火状态下以 35 keV 的低点火温度点火。因此，为了获得非平衡燃烧阶段，我们检查了这些目标的所有重要增益和损耗过程，如聚变产物的能量沉积、热传导、辐射通量、机械功、轫致辐射和逆康普顿散射以及他们之间的竞争。这些条件研究了不同面密度的 DD 燃料在 ρR ~ 1–100 g/cm2 范围内，结果表明，随着面密度的升高，转变温度降低。但是在高面密度下，转变温度不会显着变化，并且将获得 ~ 20 keV 的极限温度。此外，对于热核燃烧发生在停滞时刻之前和之后的情况，研究了向非平衡燃烧的转变。观察到机械功对转变条件的正负作用非常重要并且显着改变转变温度。在所有情况下，非平衡燃烧阶段的转变温度总是远低于特定面密度的理想点火温度。