费米量子等离子体中的磁声孤子
Magnetosonic solitons in a Fermionic quantum plasma
摘要：
从考虑量子Bohm势和电子自旋1/2效应的量子磁等离子体的控制方程出发，证明了由于非线性和量子衍射/隧穿效应之间的平衡，量子磁流体动力学（QMHD）方程组中存在稀疏孤子.结果表明，电子自旋1/2效应在QMHD方程中引入了一个带负号的类压项，使孤立磁声波的形状发生了变化，变宽变浅.对含时系统的数值模拟表明，稀疏QMHD孤立波的发展是由自旋效应修改。
英文摘要：
Starting from the governing equations for a quantum magnetoplasma including the quantum Bohm potential and electron spin-1/2 effects, we show that the system of quantum magnetohydrodynamic (QMHD) equations admit rarefactive solitons due to the balance between nonlinearities and quantum diffraction/tunneling effects. It is found that the electron spin-1/2 effect introduces a pressure-like term with negative sign in the QMHD equations, which modifies the shape of the solitary magnetosonic waves and makes them wider and shallower. Numerical simulations of the time-dependent system shows the development of rarefactive QMHD solitary waves that are modified by the spin effects.
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