Modulational instability of spin modified quantum magnetosonic waves in Fermi-Dirac-Pauli plasmas

Wang, Yunliang and Lü, XiaoXia and Eliasson, Bengt (2013) Modulational instability of spin modified quantum magnetosonic waves in Fermi-Dirac-Pauli plasmas. Physics of Plasmas, 20 (11). ISSN 1070-664X

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Abstract

A theoretical and numerical study of the modulational instability of large amplitude quantum magnetosonic waves (QMWs) in a relativistically degenerate plasma is presented. A modified nonlinear Schrödinger equation is derived by using the reductive perturbation method. The modulational instability regions of the QMWs and the corresponding growth rates are significantly affected by the relativistic degeneracy parameter, the Pauli spin magnetization effects, and the equilibrium magnetic field. The dynamics and nonlinear saturation of the modulational instability of QMWs are investigated numerically. It is found that the increase of the relativistic degeneracy parameter can increase the growth rate of the instability, and the system is saturated nonlinearly by the formation of envelope solitary waves. The current investigation may have relevance to astrophysical magnetized compact objects, such as white dwarfs and pulsar magnetospheres.