ALPS:任意线性等离子体求解器
ALPS: The Arbitrary Linear Plasma Solver
摘要:
任意线性等离子体求解器(ALPS)是一个并行化的数值代码,它可以求解热(甚至相对论性)磁化等离子体中的色散关系,其中具有任意数量的粒子种类,具有任意回旋平衡分布函数,用于相对于背景场的任何方向的波传播。ALPS将背景动量分布读取为$(p_{\perp},p_{\parallel})$网格上的值表,其中$p_{\perp}$和$p_{\parallel }$分别是垂直于和平行于背景磁场的方向上的动量坐标。我们提出的数学和数值方法所使用的ALPS,并介绍我们的算法处理极点和解析延续的朗道轮廓积分。然后,我们显示测试计算的色散关系的麦克斯韦,双麦克斯韦,$κ$分布,和Jüttner分布等离子体中的稳定和不稳定的配置的选择。这些测试表明,ALPS推导出可靠的等离子体色散关系。ALPS将有可能确定在空间、实验室实验和数值模拟中经常发现的非平衡等离子体中的波和不稳定性的性质。
英文摘要:
The Arbitrary Linear Plasma Solver (ALPS) is a parallelised numerical code that solves the dispersion relation in a hot (even relativistic) magnetised plasma with an arbitrary number of particle species with arbitrary gyrotropic equilibrium distribution functions for any direction of wave propagation with respect to the background field. ALPS reads the background momentum distributions as tables of values on a $(p_{\perp},p_{\parallel})$ grid, where $p_{\perp}$ and $p_{\parallel }$ are the momentum coordinates in the directions perpendicular and parallel to the background magnetic field, respectively. We present the mathematical and numerical approach used by ALPS and introduce our algorithms for the handling of poles and the analytic continuation for the Landau contour integral. We then show test calculations of dispersion relations for a selection of stable and unstable configurations in Maxwellian, bi-Maxwellian, $κ$-distributed, and Jüttner-distributed plasmas. These tests demonstrate that ALPS derives reliable plasma dispersion relations. ALPS will make it possible to determine the properties of waves and instabilities in the non-equilibrium plasmas that are frequently found in space, laboratory experiments, and numerical simulations.
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