带电粒子相对论运动方程时间积分的先进数值技术

IF 3 3区地球科学

Earth, Planets and Space Pub Date : 2023-10-10 DOI:10.1186/s40623-023-01902-8

Takayuki Umeda, Riku Ozaki

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引用次数: 0

摘要

摘要给出了求解带电粒子相对论性运动方程的先进数值技术。将相对论旋转数值角的泰勒级数展开与洛伦兹因子的四阶龙格-库塔积分法相结合，提出了一种新的四阶积分器。该积分器给出了精确的相对论E-cross-B漂移速度，但其数值精度远高于经典的四阶龙格-库塔积分器。图形抽象

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Advanced numerical techniques for time integration of relativistic equations of motion for charged particles

Abstract Advanced numerical techniques for solving the relativistic equations of motion for charged particles are provided. A new fourth-order integrator is developed by combining the Taylor series expansion of the numerical angle of relativistic gyration and the fourth-order Runge–Kutta method for integrating the Lorentz factor. The new integrator gives the exact relativistic E-cross-B drift velocity, but has a numerical accuracy much higher than the classic fourth-order Runge–Kutta integrator. Graphical Abstract

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来源期刊

Earth, Planets and Space 地学天文-地球科学综合

CiteScore

5.80

自引率

16.70%

发文量

167

期刊介绍： Earth, Planets and Space (EPS) covers scientific articles in Earth and Planetary Sciences, particularly geomagnetism, aeronomy, space science, seismology, volcanology, geodesy, and planetary science. EPS also welcomes articles in new and interdisciplinary subjects, including instrumentations. Only new and original contents will be accepted for publication.