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arXiv 1209.0301astro-ph.HEphysics.plasm-ph
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量子等离子体中大振幅静电离子冲击理论

Theory for large amplitude electrostatic ion shocks in quantum plasmas

M. Akbari-Moghanjoughi, P. K. Shukla

摘要:

本文提出了一个广义非线性理论,研究了任意简并度的弱耦合简并电子流体和任意原子序数的非简并强关联离子流体组成的碰撞量子等离子体中的大振幅静电离子冲击。为了我们的目的,我们使用的惯性无电子动量方程,包括静电,压力梯度和相关的量子力,以及一个广义的粘弹性动量(GVEM)方程强相关的非简并离子。在准中性近似下,离子连续性方程关闭了我们的非线性方程组。当用无惯性电子动量方程消去GVEM方程中的电场时,我们得到了广义GVEM和离子数密度与离子流速度之间的非线性耦合的离子连续性方程。数值求解这对非线性方程组,研究了在大范围的等离子体质量密度和离子原子数下,由于谐波产生非线性和离子流体粘性之间的平衡而产生的任意大振幅平面和非平面ES激波的动力学,这些参数与巨行星(即木星)和致密恒星(即白矮星)的核心有关.我们的数值结果表明,ES激波密度分布强烈地依赖于等离子体数密度和成分(原子数)参数。此外,密度扰动传播的马赫数显着依赖于所研究的等离子体分数参数。结果表明,超密简并等离子体中ES激波的动力学在白矮星核区与低密度壳区有很大的不同。

英文摘要:

We present a generalized nonlinear theory for large amplitude electrostatic (ES) ion shocks in collisional quantum plasmas composed of mildly coupled degenerate electron fluids of arbitrary degeneracy and non-degenerate strongly correlated ion fluids with arbitrary atomic number. For our purposes, we use the inertialess electron momentum equation including the electrostatic, pressure gradient and relevant quantum forces, as well as a generalized viscoelastic momentum (GVEM) equation for strongly correlated non-degenerate ions. The ion continuity equation, in the quasi-neutral approximation, then closes our nonlinear system of equations. When the electric field is eliminated from the GVEM equation by using the inertialess electron momentum equation, we then obtain a generalized GVEM and the ion continuity equations exhibiting nonlinear couplings between the ion number density and the ion fluid velocity. The pair of nonlinear equations is numerically solved to study the dynamics of arbitrary large amplitudes planar and non-planar ES shocks arising from the balance between harmonic generation nonlinearities and the ion fluid viscosity for a wide range of the plasma mass-density and the ion atomic-number that are relevant for the cores of giant planets (viz. the Jupiter) and compact stars (viz. white dwarfs). Our numerical results reveal that the ES shock density profiles strongly depend on the plasma number density and composition (the atomic-number) parameters. Furthermore, density perturbations propagate with Mach numbers which significantly dependent on the studied plasma fractional parameters. It is concluded that the dynamics of the ES shocks in the super-dense degenerate plasma is quite different in the core of a white dwarf star from that in the lower density crust region.

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