论文标题

电磁孤子的稳定性] {电磁孤子及其在相对论退化密集的等离子体中的稳定性

Stability of electromagnetic solitons]{Electromagnetic solitons and their stability in relativistic degenerate dense plasmas with two electron species

论文作者

Roy, Sima, Misra, Amar P.

论文摘要

通过相对论的变性型天体物理平质与低频电子声音扰动研究了电磁(EM)孤子的演变,该圆形极化激光脉冲与低频电子声音扰动研究了相对的变性天体物理平质与两组电子的相对性变性的天体物理平价:两种电子相关性的电子群体和浓度的浓度为浓度的浓度浓度。获得了不同形式的局部固定溶液,并分析了它们的性质。还研究了使用Vakhitov-Kolokolov稳定性标准,还研究了移动EM Soliton的存在和稳定性的条件。值得注意的是,由于相对论退化的影响,经典到退化电子的比例和EM波频率,稳定和不稳定的区域周围围绕孤子征经平面和孤子速度移动。此外,尽管常设孤子表现出更长的时间,但移动的孤子可以取决于电子退化的程度,孤子本特征频率和孤子速度。后者具有增强的值最终会导致孤子崩溃。结果对于理解高度强激光脉冲的耦合而与下一代激光倍增相互作用实验中的变性密度等离子体的响应缓慢以及$ x $ ray-ray-ray-ray-ray-ray脉冲的新颖特征(来自压缩天体物理学对象的新颖特征),该结果对于理解孤子的形成应该很有用。

The evolution of electromagnetic (EM) solitons due to nonlinear coupling of circularly polarized intense laser pulses with low-frequency electron-acoustic perturbations is studied in relativistic degenerate dense astrophysical plasmas with two groups of electrons: a sparse population of classical relativistic electrons and a dense population of relativistic degenerate electron gas. Different forms of localized stationary solutions are obtained and their properties are analyzed. Using the Vakhitov-Kolokolov stability criterion, the conditions for the existence and stability of a moving EM soliton are also studied. It is noted that the stable and unstable regions shift around the plane of soliton eigenfrequency and the soliton velocity due to the effects of relativistic degeneracy, the fraction of classical to degenerate electrons and the EM wave frequency. Furthermore, while the standing solitons exhibit stable profiles for a longer time, the moving solitons, however, can be stable or unstable depending on the degree of electron degeneracy, the soliton eigenfrequency and the soliton velocity. The latter with an enhanced value can eventually lead to a soliton collapse. The results should be useful for understanding the formation of solitons in the coupling of highly intense laser pulses with slow response of degenerate dense plasmas in the next generation laser-plasma interaction experiments as well as the novel features of $x$-ray and $γ$-ray pulses that originate from compact astrophysical objects.

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