共振线展宽准线性(RBQ)模型研究Alfvénic本征模引起的快离子分布弛豫
Resonance line broadened quasilinear (RBQ) model for fast ion distribution relaxation due to Alfvénic eigenmodes
摘要:
燃烧等离子体的性能受到超阿尔文聚变产物(如α粒子和能够激发阿尔文本征模(AE)的辅助加热离子)的限制。在这项工作中,AE对快离子的影响是制定内的准线性(QL)理论推广这个问题最近。概括涉及的共振线加宽的高能粒子(EP)与AE的相互作用的扩散系数取决于EP在速度空间中的位置补充。在此基础上建立了一个新的共振加宽QL程序(或RBQ 1D),该程序考虑了EP在径向的扩散。当粒子动能近似为常数时,我们将波粒相互作用动力学简化为一维情形。EP分布演化的扩散方程则是一维的,并且对于所有粒子与波角动量演化的方程同时求解。快离子运动常数的演化由QL扩散方程决定,该方程适于找到快离子分布函数。我们最初的应用程序的RBQ 1D的DIII-D等离子体与升高的q-分布的束离子表现出刚性的传输特性。AE驱动的快速离子轮廓松弛研究的QL方法在现实条件下的束离子驱动的不稳定性在DIII-D的验证。
英文摘要:
The burning plasma performance is limited by the confinement of the superalfvenic fusion products such as alpha particles and the auxiliary heating ions capable of exciting the Alfvénic eigenmodes (AEs). In this work the effect of AEs on fast ions is formulated within the quasi-linear (QL) theory generalized for this problem recently. The generalization involves the resonance line broadened interaction of energetic particles (EP) with AEs supplemented by the diffusion coefficients depending on EP position in the velocity space. A new resonance broadened QL code (or RBQ1D) based on this formulation allowing for EP diffusion in radial direction is built and presented in details. We reduce the wave particle interaction (WPI) dynamics to 1D case when the particle kinetic energy is nearly constant. The diffusion equation for EP distribution evolution is then one dimensional and is solved simultaneously for all particles with the equation for the evolution of the wave angular momentum. The evolution of fast ion constants of motion is governed by the QL diffusion equations which are adapted to find the fast ion distribution function. We make initial applications of the RBQ1D to DIII-D plasma with elevated q-profile where the beam ions show stiff transport properties. AE driven fast ion profile relaxation is studied for validations of the QL approach in realistic conditions of beam ion driven instabilities in DIII-D.
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