| 电子束能量沉积的相对论Fokker-Planck方程的计算方法 |
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| 引用本文： | 张华,吴思忠,周沧涛,何民卿,蔡洪波,曹莉华,朱少平,贺贤土.电子束能量沉积的相对论Fokker-Planck方程的计算方法[J].计算物理,2017,34(5):555-562. |
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| 作者姓名： | 张华 吴思忠 周沧涛 何民卿 蔡洪波 曹莉华 朱少平 贺贤土 |
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| 作者单位： | 1. 北京应用物理与计算数学研究所, 北京 100094;2. 北京大学应用物理与技术中心, 北京 100871 |
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| 基金项目： | 大科学装置国家重点研发计划（2016YFA0401100）及国家自然科学基金（91230205，11575031）资助项目 |
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| 摘 要： | 针对相对论电子束在高密度等离子体中的能量沉积过程，建立三维动量空间中快电子能量沉积的相对论Fokker-Planck方程的可计算物理模型，构造数值算法并研制数值模拟程序.通过与解析模型和蒙特卡罗模拟相比较，验证数值方法和程序的可靠性.在二维动量空间的模拟基础上，通过计算能量区间为0.5 MeV~3.5 MeV的快电子在背景密度为300 g·cm-3的氘氚等离子体中的能量沉积过程，发现由于碰撞效应使平均散射角趋近平衡，三维动量空间计算快电子连续射程和穿透深度与二维结果基本一致.
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| 关 键 词： | 电子束 能量沉积 相对论Fokker-Planck方程 |
| 收稿时间： | 2017-03-30 |
Numerical Method of Relativistic Fokker-Planck Equation for Energy Deposition of Fast Electrons |
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| ZHANG Hua,WU Sizhong,ZHOU Cangtao,HE Minqing,CAI Hongbo,CAO Lihua,ZHU Shaoping,HE Xiantu.Numerical Method of Relativistic Fokker-Planck Equation for Energy Deposition of Fast Electrons[J].Chinese Journal of Computational Physics,2017,34(5):555-562. |
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| Authors: | ZHANG Hua WU Sizhong ZHOU Cangtao HE Minqing CAI Hongbo CAO Lihua ZHU Shaoping HE Xiantu |
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| Institution: | 1. Institute of Applied Physics and Computational Mathematics, Beijing 100094, China;2. Center of Applied Physical Technology, Peking University, Beijing 100871, China |
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| Abstract: | For energy deposition of fast electrons in high density plasma, a relativistic Fokker-Planck equation in three-dimensional momentum space is introduced. It includes both binary collision and contribution from plasma collective response. Numerical method as well as kinetic code of the equation is developed. Typical energy deposition cases are presented with comparison with stopping power model. Energy deposition of fast electrons with energy from 0.5 MeV to 3.5 MeV in 300 g·cm-3 DT plasma are simulated. It shows that scattering angle ϕ plays minor role on range and penetration depth of energy deposition of fast electrons. |
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| Keywords: | electron beam energy deposition relativistic Fokker-Planck equation |
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