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arXiv physics/0701011physics.plasm-ph
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磁化量子等离子体的Harris片解

Harris sheet solution for magnetized quantum plasmas

F. Haas

摘要:

我们构造了由量子流体力学模型描述的纯磁化量子等离子体的一维平衡解的无穷族。平衡取决于一个三阶常微分方程的解,该方程用两个自由函数表示。这些自由函数之一是相关的磁场配置,而另一个是指定的状态方程。哈里斯片型磁场的情况下,连同等温分布,详细处理。与经典的Harris片解相反,量子情形下的密度呈现振荡模式。

英文摘要:

We construct an infinite family of one-dimensional equilibrium solutions for purely magnetized quantum plasmas described by the quantum hydrodynamic model. The equilibria depends on the solution of a third-order ordinary differential equation, which is written in terms of two free functions. One of these free functions is associated to the magnetic field configuration, while the other is specified by an equation of state. The case of a Harris sheet type magnetic field, together with an isothermal distribution, is treated in detail. In contrast to the classical Harris sheet solution, the quantum case exhibits an oscillatory pattern for the density.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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