Transverse Waves in a Relativistic Plasma

Transverse Waves in a Relativistic Plasma
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相对论等离子体中的横波

DOI:
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发表时间:
1966
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通讯作者:
I. Lerche
I. Lerche
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文献类型:
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作者:
I. Lerche

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本文建立了线性化方程组来描述磁场中的相对论等离子体和非相对论等离子体中的横波。波与未扰动场成直角传播。当动量分布取为宇宙线型但各向异性时,发现存在不稳定波。这种不稳定性只存在于相对论粒子存在的时候,并且是快速粒子的质量与其静止质量不同的结果。最大的放大率被发现在这种情况下,并通过假设适当的银河宇宙射线电子的情况下的物理值数值说明。它表明,任何各向异性迅速被破坏和宇宙射线电子超过约一百万年的各向同性是可以预期的。
Linearized equations are set up to describe transverse waves in a relativistic plasma embedded in a magnetic field and in the presence of a nonrelativistic plasma. The waves are taken to propagate at right angles to the unperturbed field. Unstable waves are found to exist when the momentum distribution is taken to be of the cosmic ray type, but anisotropic. The instability exists only when relativistic particles are present and is a consequence of the mass of a fast particle being different from its rest mass. The maximum amplification rate is found for this case and is illustrated numerically by assuming physical values appropriate to the case of galactic cosmic ray electrons. It is shown that any anisotropy is rapidly destroyed and for cosmic ray electrons which are more than about a million years old isotropy is to be expected.