论文标题

相对论退化激光等离子体中电磁孤子的稳定性和演变

Stability and evolution of electromagnetic solitons in relativistic degenerate laser plasmas

论文作者

Roy, Sima, Misra, A. P.

论文摘要

研究了由于线性极化激光光和相对论退化等离子体的非线性相互作用而形成的电磁(EM)孤子的动力学行为。在相对论动力学的慢动作近似中,弱非线性EM包膜的演变由广义的非线性schr {Ö} dinger(gnls)方程,其局部和非局部非线性。使用Vakhitov-Kolokolov标准,研究了GNLS方程的EM Soliton溶液的稳定性。孤子速度,孤子eigenfquency以及退化参数$ r = p_ {fe}/m_ec $的影响,证明了不同稳定和不稳定的区域,其中$ p_ {fe} $是fermi Momentum and fermi Momentum和$ m_e $ $ c $ the Electron Mass和$ c $ speass speps speps spep of vaste。发现稳定区域转移到一个不稳定的区域,并且随着一个弱相对论$(R \ ll1)$进入的稳定性$(R \ GG1)$(r \ gg1)$ demeneration的弱点。分析预测的结果与GNLS方程的仿真结果非常吻合。结果表明,站立的EM Soliton溶液是稳定的。但是,根据孤子速度,特征频率或退化参数的值,移动孤子可以稳定或不稳定。后者具有强大的退化$(R> 1)$最终会导致Soliton崩溃。

The dynamical behaviors of electromagnetic (EM) solitons formed due to nonlinear interaction of linearly polarized intense laser light and relativistic degenerate plasmas are studied. In the slow motion approximation of relativistic dynamics, the evolution of weakly nonlinear EM envelope is described by the generalized nonlinear Schr{ö}dinger (GNLS) equation with local and nonlocal nonlinearities. Using the Vakhitov-Kolokolov criteria, the stability of an EM soliton solution of the GNLS equation is studied. Different stable and unstable regions are demonstrated with the effects of soliton velocity, soliton eigenfrequency, as well as the degeneracy parameter $R=p_{Fe}/m_ec$, where $p_{Fe}$ is the Fermi momentum and $m_e$ the electron mass, and $c$ is the speed of light in vacuum. It is found that the stability region shifts to an unstable one and is significantly reduced as one enters from the regimes of weakly relativistic $(R\ll1)$ to ultrarelativistic $(R\gg1)$ degeneracy of electrons. The analytically predicted results are in good agreement with the simulation results of the GNLS equation. It is shown that the standing EM soliton solutions are stable. However, the moving solitons can be stable or unstable depending on the values of soliton velocity, the eigenfrequency or the degeneracy parameter. The latter with strong degeneracy $(R>1)$ can eventually lead to soliton collapse.

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