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arXiv 2302.06000physics.plasm-phhep-th
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探究非线性电动力学中的修正等离子体波

Probing modified plasma waves in non-linear electrodynamics

Leonardo P. R. Ospedal, Fernando Haas

AI总结:

本文研究了非线性电动力学中修正等离子体波的性质,通过冷磁化等离子体模型导出了修正的色散关系,并分析了低能量子电动力学和广义Born-Infeld模型中的传播效应及相对论大振幅影响。

摘要:

本文研究了非线性电动力学中修正等离子体波的性质。我们考虑了一个冷、均匀、无碰撞且磁化的等离子体模型。起初,我们还假设小振幅波和非相对论近似。对于静电波,我们获得了修正的Trivelpiece-Gould色散关系,其中等离子体频率发生了适当变化,并分析了模式的稳定性。此外,建立了与广义Appleton-Hartree方程相关的电磁波。在此情况下,我们讨论了圆偏振波、寻常模和非常模的修正。随后,我们将结果应用于低能量子电动力学和广义Born-Infeld模型的特例。确定了相应的色散关系及其对传播区域的影响。最后,我们纳入了圆偏振波的相对论和大振幅效应。我们在有效非线性电动力学内获得了色散关系,并研究了当传播波的频率趋近于等离子体频率时折射率的行为。

英文摘要:

Properties of modified plasma waves in non-linear electrodynamics are investigated. We consider a cold, uniform, collisionless, and magnetized plasma model. Initially, we also assume small amplitude waves and the non-relativistic approximation. For electrostatic waves, we obtain a modified Trivelpiece-Gould dispersion relation with a suitable change in the plasma frequency and analyze the stability of modes. Furthermore, electromagnetic waves related to the generalized Appleton-Hartree equation are established. In this case, we discuss modifications in circularly polarized waves, ordinary and extraordinary modes. After that, we apply our results to particular cases of low-energy quantum electrodynamics and a generalized Born-Infeld model. The correspondent dispersion relations and effects on the propagation regions are determined. Finally, we include the relativistic and large amplitude effects for circularly polarized waves. We obtain the dispersion relation within effective non-linear electrodynamics and examine the behavior of the refractive index when the frequency of the propagating wave converges to the plasma frequency.

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。

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