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arXiv 1111.3661physics.plasm-ph
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用矢量相量表示的均匀磁化等离子体的色散关系

Potential formulation of the dispersion relation for a uniform, magnetized plasma with stationary ions in terms of a vector phasor

Robert W. Johnson

摘要:

本文用电动力学势公式重新推导了在恒定背景磁场作用下含有静止离子的均匀等离子体的螺旋色散关系。在与标准导数相同的条件下,讨论了受扰电子流与其产生的电势之间的非线性自耦合。一般传播矢量的平面波解决方案确定为所有频率,并表示在一个矢量相量。溶液在真空单位中的行为取决于电导率与背景场大小的比值。只有在低电导率和低于回旋频率时,才能发生显著的传播,这是由趋肤深度与波长之比确定的。

英文摘要:

The derivation of the helicon dispersion relation for a uniform plasma with stationary ions subject to a constant background magnetic field is reexamined in terms of the potential formulation of electrodynamics. Under the same conditions considered by the standard derivation, the nonlinear self-coupling between the perturbed electron flow and the potential it generates is addressed. The plane wave solution for general propagation vector is determined for all frequencies and expressed in terms of a vector phasor. The behavior of the solution as described in vacuum units depends upon the ratio of conductivity to the magnitude of the background field. Only at low conductivity and below the cyclotron frequency can significant propagation occur as determined by the ratio of skin depth to wavelength.

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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