计算物理

• • 上一篇    下一篇

紧凑型反应堆中的单粒子动力学研究

于承新, 舒小芳, 刘杰
  

  1. 1. 北京应用物理与计算数学研究所,北京,100088;
    2. 北京量子信息科学研究院,北京,100193;
    3. 中国工程物理研究院研究生院,北京,100096
  • 收稿日期:2021-06-25 修回日期:2021-09-25 接受日期:2021-09-25
  • 作者简介:于承新(1980-),男,博士,副研究员,主要从事流体力学不稳定性研究,E-mail:cx_yu2013@163.com
  • 基金资助:
    国家自然科学基金项目( 11775030,11875091),国家自然科学基金青年项目(12004043)

Research on Single Particle Dynamics in the Compact Fusion Reactor

YU Chengxin , SHU Xiaofang , LIU Jie #br#   

  1. 1. Beijing Institute of Applied Physics and Computational Mathematics, Beijing, 100088, P. R. China;
    2. Beijing Academy of Quantum Information Sciences, Beijing,100193, P. R. China;
    3. Graduate School of China Academy of Engineering Physics, Beijing,100096, P. R. China
  • Received:2021-06-25 Revised:2021-09-25 Accepted:2021-09-25

摘要: 紧凑型聚变反应堆是美国洛克希德•马丁公司与2014年提出的一种新型磁约束聚变装置。针对该装置独特的磁势阱结构,通过蒙特卡洛方法,研究了单个高能带电粒子的约束动力学行为。考虑到磁场位型的局域平坦性特点,在足够小的计算区域或足够短的时间内,带电粒子基本上在一个常数磁场中的运动。基于此,给出了能够精确保证能量守恒的粒子运动方程逐点解析解,该计算方案具有长时间的追踪能力。模拟结果表明,对于初始位置和速度方向随机分布的具有1千电子伏能量的高能氘粒子,大约有7%的概率能够约束至10毫秒量级。由于粒子运动方程的求解过程不依赖于具体的磁场位型,所以它可方便应用到具有任意位型的磁约束装置中。

关键词: 紧凑型聚变反应装置, 单粒子运动, 磁势阱

Abstract: The compact fusion reactor is a new concept of magnetic confinement fusion reactor proposed by Lockheed Martin in 2014. Aiming at the unique magnetic structure of the reactor, the confinement dynamics of a single high-energy charged particle was studied by Monte Carlo method. Taking into account the local flatness characteristics of the magnetic field configuration, a charged particle basically moves in a constant magnetic field for a sufficiently small area or a short enough timestep. Therefore, a point-by-point analytical solution to the particle motion equation that can accurately guarantee the conservation of energy is given, which has long-term tracking capabilities. The simulation results show that for high-energy deuterium particles with 1 kiloelectron volt energy randomly distributed in the initial position and velocity direction, there is about a seven-hundredth probability that can be constrained to the order of ten milliseconds. Since the proposed method for solving the motion equation is independent of the magnetic configurations, it can be naturally generalized to an arbitrary magnetic confinement setup.

Key words: Compact Fusion Reactor, Single Charged Particle Motion, Magnetic Trap

中图分类号: