Analytic criteria for shock ignition of fusion reactions in a central hot spot

Analytic criteria for shock ignition of fusion reactions in a central hot spot
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中心热点聚变反应激波点火的分析标准

DOI:
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发表时间:
2011
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通讯作者:
E. L. Bel
E. L. Bel
中科院分区:
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文献类型:
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作者:
X. Ribeyre;V. Tikhonchuk;J. Breil;M. Lafon;E. L. Bel

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激波点火是一种惯性约束聚变方案,其中点火条件分两步实现。首先,DT壳以低内爆速度压缩,从而在低温和高密度下产生中心核。然后,在燃料停滞时间之前发射一个强的球形会聚激波。它会增加中心压力并点燃核心。它表明,在本文中,这后一个阶段可以通过使用一个自相似的理想流体动力学方程的解决方案来描述分析。可以在热点中产生高且均匀分布的压力,从而为点火提供有利条件。分析点火准则,得到的压缩核心的面密度与冲击速度。分析模型的结论在全流体动力学模拟中得到证实。
Shock ignition is an inertial confinement fusion scheme where the ignition conditions are achieved in two steps. First, the DT shell is compressed at a low implosion velocity creating a central core at a low temperature and a high density. Then, a strong spherical converging shock is launched before the fuel stagnation time. It increases the central pressure and ignites the core. It is shown in this paper that this latter phase can be described analytically by using a self-similar solution to the equations of ideal hydrodynamics. A high and uniformly distributed pressure in the hot spot can be created thus providing favorable conditions for ignition. Analytic ignition criteria are obtained that relate the areal density of the compressed core with the shock velocity. The conclusions of the analytical model are confirmed in full hydrodynamic simulations.