热等离子体中shock waves的D 'yakov-Kontorovitch不稳定性
D'yakov-Kontorovitch instability of shock waves in hot plasmas
摘要：
本文研究了高温碳、铝、硅和铌等离子体激波阵面后声波自发发射的D 'yakov-Kontorovich稳定性判据。D 'yakov和临界稳定性参数是用状态方程模型沿主Rankine-Hugoniot曲线计算的，其中束缚电子和自由电子的贡献是通过相对论量子平均原子模型求解Dirac方程计算的。在相对论框架中使用应力张量公式确定压力。我们发现，不稳定性发生在电子壳层电离结束时，当Hugoniot曲线偏离$ρ/ρ_0$ =4渐近线而趋向于$ρ/ρ_0$ =7极限时.在这样的条件下，如果等离子体是光学厚的，黑体辐射的EOS的贡献是占主导地位的，系统变得总是稳定的。我们的研究结果表明，不稳定性发生的条件是不同的，从以前公布的估计，由于在相应的状态方程模型的假设，特别是相对论效应，并依赖于辐射不透明度的材料。
英文摘要：
The D'yakov-Kontorovich stability criterion for spontaneous emission of acoustic waves behind shock fronts is investigated for high-temperature carbon, aluminum, silicon and niobium plasmas. The D'yakov and critical stability parameters are calculated along the principal Rankine-Hugoniot curve with an equation-of-state model in which the contribution of bound and free electrons is calculated through a relativistic quantum average-atom model, solving the Dirac equation. The pressure is determined using the stress-tensor formula in the relativistic framework. We find that the instability occurs at the end of the ionization of electronic shells, when the Hugoniot curve departs from the $ρ/ρ_0$=4 asymptote to tend to the $ρ/ρ_0$=7 limit. In such conditions, if the plasma is optically thick, the contribution of blackbody radiation to the EOS is dominant, and the system becomes always stable. Our results indicate that the conditions in which the instability takes place are different from previously published estimates, due to assumptions made in the corresponding equation-of-state models, especially as concerns the relativistic effects, and depend on the radiative opacity of the material.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
