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Ideal MHD turbulence: the inertial range spectrum with collisionless dissipation

机译:理想的MHD湍流:具有无碰撞耗散的惯性范围谱

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The inertial range spectrum of ideal (collisionless/dissipationless) MHD turbulence is analysed in view of the transition from the large-scale Iroshnikov-Kraichnan-like (IK) to the meso-scale Kolmogorov (K) range under the assumption that the ultimate dissipation which terminates the Kolmogorov range is provided by collisionless reconnection in thin turbulence-generated current sheets. Kolmogorov's dissipation scale is identified with the electron inertial scale, as suggested by collisionless particle-in-cell simulations of reconnection. Transition between the IK- and K-ranges occurs at the ion inertial length allowing determination of the IK-coefficient. With the electron inertial scale the K-dissipation scale, stationarity of the spectrum implies a relation between the energy injection and dissipation rates. Application to solar wind is critically discussed.
机译:考虑到最终耗散的假设,分析了理想的(无碰撞/无耗散)MHD湍流的惯性范围谱,考虑了从大型Iroshnikov-Kraichnan(IK)到中尺度Kolmogorov(K)范围的过渡通过在湍流产生的薄电流片中进行无碰撞重新连接,可以终止Kolmogorov范围。如重新连接的无碰撞粒子模拟所表明的那样,Kolmogorov的耗散尺度由电子惯性尺度确定。 IK范围和K范围之间的过渡发生在离子惯性长度上,从而可以确定IK系数。电子惯性尺度为K耗散尺度时,频谱的平稳性暗示了能量注入与耗散率之间的关系。严格讨论了在太阳风中的应用。

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