Wave‐Particle Interaction and Nonlinear Landau Damping in Collisionless Electron Plasmas

Wave‐Particle Interaction and Nonlinear Landau Damping in Collisionless Electron Plasmas
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无碰撞电子等离子体中的波粒相互作用和非线性朗道阻尼

DOI:
10.1080/00411450500255740
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发表时间:
2005
影响因子:
--
通讯作者:
A. Mangeney
A. Mangeney
中科院分区:
--
文献类型:
--
作者:
F. Valentini;V. Carbone;P. Veltri;A. Mangeney

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摘要利用拉格朗日方法研究了非磁化无碰撞等离子体中静电波传播的非线性波粒相互作用。通过数值求解Vlasov-Poisson方程组计算的自洽电场用于推进大量测试粒子的运动方程。对共振粒子相空间轨迹的统计研究表明,在共振区边界附近的动力学过程是遍历的和混沌的,粒子可以从势阱中逃逸,并在相空间中进行或多或少的长距离飞行.我们的数值计算结果表明,这些相空间飞行,能够在原则上耗散的电能,是有限的程度,事实上,经过一个特征时间,逃逸粒子几乎都被重新捕获在势阱。因此,相空间飞行是不够长,让耗散继续,但他们的特征长度决定了无阻尼…
Abstract Nonlinear wave‐particle interaction in the propagation of electrostatic waves in unmagnetized collisionless plasma is investigated using a Lagrangian approach. The self‐consistent electric field evaluated by solving numerically the Vlasov‐Poisson system of equations is used to advance the equations of motion of a large number of test particles. A statistical study of the phase space trajectories of resonant particles shows that the dynamics near the border of the resonant region becomes ergodic and chaotic and the particles can escape from the potential well and perform more or less long flights in the phase space. Our numerical results show that these phase space flights, able in principle to dissipate the electric energy, are of limited extent; in fact, after a characteristic time, the escaped particles are almost all retrapped in the potential well. Therefore the phase space flights are not sufficiently long to allow dissipation to go on, but their characteristic length determines the undamped...