Misra A P, Brodin G, Marklund M, Shukla P K
Department of Physics, Umeå University, SE-90187 Umeå, Sweden.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Nov;82(5 Pt 2):056406. doi: 10.1103/PhysRevE.82.056406. Epub 2010 Nov 8.
The nonlinear propagation of electromagnetic (EM) electron-cyclotron waves (whistlers) along an external magnetic field, and their modulation by electrostatic small but finite amplitude ion-acoustic density perturbations are investigated in a uniform quantum plasma with intrinsic spin of electrons. The effects of the quantum force associated with the Bohm potential and the combined effects of the classical as well as the spin-induced ponderomotive forces (CPF and SPF, respectively) are taken into consideration. The latter modify the local plasma density in a self-consistent manner. The coupled modes of wave propagation is shown to be governed by a modified set of nonlinear Schrödinger-Boussinesq-like equations which admit exact solutions in form of stationary localized envelopes. Numerical simulation reveals the existence of large-scale density fluctuations that are self-consistently created by the localized whistlers in a strongly magnetized high density plasma. The conditions for the modulational instability (MI) and the value of its growth rate are obtained. Possible applications of our results, e.g., in strongly magnetized dense plasmas and in the next generation laser-solid density plasma interaction experiments are discussed.
在具有电子固有自旋的均匀量子等离子体中，研究了电磁（EM）电子回旋波（啸声）沿外部磁场的非线性传播，以及它们受静电小但有限振幅离子声密度扰动的调制。考虑了与玻姆势相关的量子力的影响，以及经典和自旋诱导的有质动力（分别为CPF和SPF）的综合影响。后者以自洽的方式改变局部等离子体密度。结果表明，波传播的耦合模式由一组修正的类非线性薛定谔 - 布辛涅斯克方程控制，这些方程允许以稳态局域包络的形式存在精确解。数值模拟揭示了在强磁化高密度等离子体中由局域啸声自洽产生的大规模密度涨落的存在。获得了调制不稳定性（MI）的条件及其增长率的值。讨论了我们结果的可能应用，例如在强磁化致密等离子体以及下一代激光 - 固体密度等离子体相互作用实验中的应用。
