Saturation of relativistic Weibel instability and the formation of stationary current sheets in collisionless plasma
Saturation of relativistic Weibel instability and the formation of stationary current sheets in collisionless plasma
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无碰撞等离子体中相对论韦贝尔不稳定性的饱和和稳态电流片的形成
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
V. Kocharovsky
中科院分区：
文献类型：
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作者：
V. Y. Mart’yanov;V. Kocharovsky;V. Kocharovsky
我们研究了相对论无碰撞等离子体中自洽磁场的形成特征和可能的稳态结构，这是非相对论情况下众所周知的韦贝尔不稳定性的简单几何特征。建立了通用条件，确定了增长率，并分析了广泛类别的各向异性粒子分布函数的韦贝尔不稳定性饱和标准（为了确定性，应用于电子-正电子等离子体）。推导了描述势电流结构的Grad-Shafranov型非线性方程，并对其解进行了分析研究。特别关注空间谐波、非线性电流配置，其参数由受韦贝尔不稳定性影响的初始均匀等离子体的特性决定。结果表明，所获得的溶液（谐波和非谐波）中的磁场能量密度可以与等离子体粒子的动能密度相媲美。
We have studied the features of formation and the possible stationary structures of a self-consistent magnetic field in a relativistic collisionless plasma, which are characteristic of a simple geometry of the Weibel instability that is well known in the nonrelativistic case. The universal condition is established, the growth rate is determined, and the criteria of saturation of the Weibel instability are analyzed for a broad class of anisotropic particle distribution functions (for definiteness, in application to an electron-positron plasma). A nonlinear equation of the Grad-Shafranov type describing the potential current structures is derived and its solutions are analytically studied. Special attention is paid to spatially harmonic, nonlinear current configurations with parameters determined by the properties of the initial homogeneous plasma subject to the Weibel instability. It is demonstrated that the magnetic field energy density in the obtained solutions (both harmonic and nonharmonic) can be comparable with the kinetic energy density of plasma particles.