Balescu R
Physique Statistique-Plasmas, Association Euratom-Etat Belge, Université Libre de Bruxelles, Campus Plaine, Boulevard du Triomphe, 1050 Bruxelles, Belgium.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Oct;68(4 Pt 2):046409. doi: 10.1103/PhysRevE.68.046409. Epub 2003 Oct 29.
Drift-wave turbulence in a plasma is analyzed on the basis of the wave Liouville equation, describing the evolution of the distribution function of wave packets (quasiparticles) characterized by position x and wave vector k. A closed kinetic equation is derived for the ensemble-averaged part of this function by the methods of nonequilibrium statistical mechanics. It has the form of a non-Markovian advection-diffusion equation describing coupled diffusion processes in x and k spaces. General forms of the diffusion coefficients are obtained in terms of Lagrangian velocity correlations. The latter are calculated in the decorrelation trajectory approximation, a method recently developed for an accurate measure of the important trapping phenomena of particles in the rugged electrostatic potential. The analysis of individual decorrelation trajectories provides an illustration of the fragmentation of drift-wave structures in the radial direction and the generation of long-wavelength structures in the poloidal direction that are identified as zonal flows.
基于波动刘维尔方程对等离子体中的漂移波湍流进行了分析，该方程描述了以位置x和波矢k为特征的波包（准粒子）分布函数的演化。通过非平衡统计力学方法，为该函数的系综平均部分推导了一个封闭的动力学方程。它具有非马尔可夫平流扩散方程的形式，描述了x和k空间中的耦合扩散过程。扩散系数的一般形式是根据拉格朗日速度相关性得到的。后者是在去相关轨迹近似中计算的，这是一种最近开发的用于精确测量粒子在崎岖静电势中重要俘获现象的方法。对单个去相关轨迹的分析说明了漂移波结构在径向上的碎片化以及在极向方向上长波长结构的产生，这些长波长结构被识别为带状流。
