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arXiv 1306.1455astro-ph.SRphysics.plasm-ph
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Alfven波碰撞,等离子体Turbulence的基本组成部分I:渐近解

Alfven Wave Collisions, The Fundamental Building Block of Plasma Turbulence I: Asymptotic Solution

Gregory G. Howes, Kevin D. Nielson

摘要:

反向传播的阿尔芬波之间的非线性相互作用是天体物理等离子体湍流中能量向小尺度级联的物理机制。从不可压磁流体力学方程组出发,在弱非线性极限下导出了这些阿尔芬波碰撞非线性演化的渐近解析解。由此产生的定性图片的非线性能量转移,由于这种机制涉及两个步骤:第一,主要的反向传播阿尔芬波相互作用,产生一个固有的非线性,纯磁性的二次波动,没有平行的变化;第二,两个主要的波每个相互作用,这个二次波动转移能量secularly两个三级阿尔芬波。这些第三模式是线性阿尔芬波与相同的平行波数的主要波,表明缺乏一个平行的级联。由于共振四波相互作用的相干性质,这些三次模式的振幅随时间线性增加,负责非线性能量转移。讨论了这种解析解对天体物理等离子体湍流的影响。这里提出的解决方案提供了有价值的直觉磁化等离子体湍流的非线性相互作用的基础上,在实验室中验证天体物理等离子体湍流的基本组成部分的性质的实验计划的支持。

英文摘要:

The nonlinear interaction between counterpropagating Alfven waves is the physical mechanism underlying the cascade of energy to small scales in astrophysical plasma turbulence. Beginning with the equations for incompressible MHD, an asymptotic analytical solution for the nonlinear evolution of these Alfven wave collisions is derived in the weakly nonlinear limit. The resulting qualitative picture of nonlinear energy transfer due to this mechanism involves two steps: first, the primary counterpropagating Alfven waves interact to generate an inherently nonlinear, purely magnetic secondary fluctuation with no parallel variation; second, the two primary waves each interact with this secondary fluctuation to transfer energy secularly to two tertiary Alfven waves. These tertiary modes are linear Alfven waves with the same parallel wavenumber as the primary waves, indicating the lack of a parallel cascade. The amplitude of these tertiary modes increases linearly with time due to the coherent nature of the resonant four-wave interaction responsible for the nonlinear energy transfer. The implications of this analytical solution for turbulence in astrophysical plasmas is discussed. The solution presented here provides valuable intuition about the nonlinear interactions underlying magnetized plasma turbulence, in support of an experimental program to verify in the laboratory the nature of this fundamental building block of astrophysical plasma turbulence.

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