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arXiv 0709.0464physics.plasm-ph
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等离子体动力学模型的Beltrami态

Beltrami States for Plasma Dynamics Models

B. K. Shivamoggi

摘要:

各种等离子体模型-不可压缩磁流体动力学(MHD)模型、可压缩MHD模型、不可压缩霍尔MHD模型、可压缩霍尔MHD模型、电子MHD模型、具有电子惯性的可压缩霍尔MHD模型-尽管基础物理的多样性,显示出一些共同的特点,在Beltrami状态,如一定的鲁棒性方面的等离子体压缩效应(尽管是在正压假设下)和{ \it Bernoulli}条件。这些模型的Beltrami状态推导出适当的总能量最小化,同时保持适当的总螺旋度常数。一个哈密顿制定框架是用来进行这些变分问题。

英文摘要:

The various plasma models - incompressible magnetohydrodynamic (MHD) model, compressible MHD model, incompressible Hall MHD model, compressible Hall MHD model, electron MHD model, compressible Hall MHD with electron inertia model - notwithstanding the diversity of the underlying physics, are shown to exhibit some common features in the Beltrami states like certain robustness with respect to the plasma compressibility effects (albeit in the barotropy assumption) and the {\it Bernoulli} condition. The Beltrami states for these models are deduced by minimizing the appropriate total energy while keeping the appropriate total helicity constant. A Hamiltonian formulation framework is used to carry out these variational problems.

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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