-
The transport characteristics of electrons are crucial for the generation and development of pulse discharge in water. In this work, we develop a physical model of electron transport that consides elastic and inelastic collision cross sections. The purpose of this study is to investigate frequency variations of elastic collisions, ionization and excitation collisions with different initial electron energy values, and to explore the characteristic of electron energy loss in water. The Monte Carlo method is employed to track structure characteristics of electron transmission and scattering under varying energy values. The results show that the electrons of lower energy (~20 eV) are significantly impacted by the water molecule scattering, hence their transmission capacities are weakened. When the incident energy of electron reaches 100 eV, the scattering deviation distance is roughly equivalent to the transmission depth, about 6–8 nm, and the maximum deviation angle θshift ~ 60°. When the electron incident energy is in a range of 10–1000 eV, the number of elastic collisions is much greater than the number of excitation and ionization collisions, and the number of ionization collisions and excitation collisions increases significantly with the increase of electron energy. The higher the electron incident energy, the greater the energy loss is. However, the energy loss decreases sharply with the extension of penetration distance. For the ionization collision, the average ionization energy loss, W, decreases rapidly with the increase of electron energy, and ultimately maintains at a level of 20–30 eV, which is consistent with the experimental results reported.
-
Keywords:
- electrostrictive effect /
- electron transport in water /
- transmission and scattering /
- collision type
-
图 2 水中电子输运仿真流程
Figure 2. Simulation flow char of electronic transport in water.
图 3 电子入射水体过程示意
Figure 3. Schematic diagram of electron ejection into water bulk.
图 4 水中电子运动轨迹的正视图及左视图(E = 100 eV)
Figure 4. Front and left views of electron trajectories in water (E = 100 eV).
图 5 电子轨迹表征参数l, r, d的统计 (a) 概率分布; (b) 累积概率
Figure 5. Statistics of electron trajectory characterization parameters l, r and d: (a) Probability distribution; (b) cumulative probability.
图 6 不同电子能量下的轨迹表征参数
Figure 6. Trajectory characterization parameters under different electron energies.
图 7 不同能量下的电子平均自由程
Figure 7. Average free path of electrons at different energies.
图 8 不同电子能量下的弹性碰撞、激发碰撞与电离碰撞次数
Figure 8. Collision times of elasticity, excitation and ionization at different electron energies.
图 9 不同模型下电子-水分子弹性、电离与激发碰撞截面
Figure 9. Cross sections of electron-water molecule due to elastic, ionization, and excitation collision derived by varying models.
图 10 电子能损与电子剩余能量
Figure 10. Energy consumption rate and residual energy of electron.
图 11 电子-水分子激发、电离碰撞数量占比及消耗能量占比
Figure 11. Number proportion and energy consumption proportion of electron-water molecule excitation and ionization collision.
图 12 不同电子能量下的W值
Figure 12. W values at different electron energies.
表 1 电离能级与激发能级参数
Table 1. Ionization levels and excitation level parameters.
电离能级 Bj (j = 1, 2···, 5)/eV Uj (j = 1, 2···, 5)/eV 激发能级 Ej (j = 6, 7···, 10)/eV 1b1 10 30 A1B1 8.40 3a1 13 40 B1A1 10.10 1b2 17 50 Ryd A+B 11.26 2a1 32.2 60 Ryd C+D 11.93 1a1 539.7 700 Diffuse bands 14.10 
DownLoad: CSV
-
[1] 赵景林, 王志强, 王进君, 张东东, 李国锋 2023 强激光与粒子束 35 035005
Google Scholar
Zhao J L, Wang Z Q, Wang J J, Zhang D D, Li G F 2023 High Power Laser Part. Beams 35 035005
Google Scholar
[2] Wang L R, Wen X Q, Yang Y T, Wang X 2023 J. Appl. Phys. 134 013302
Google Scholar
[3] 李显东, 刘毅, 周古月, 刘思维, 李志远, 林福昌, 潘垣 2018 中国电机工程学报 38 1562
Li X D, Liu Y, Zhou G Y, Liu S W, Li Z Y, Lin F C, Pan Y 2018 Proceeding of the CSEE 38 1562
[4] 尤特金 1962 液电效应 (北京: 科学出版社) 第45−50页
Yutkin 1962 Electro-hydraulic Effect (Beijing: Science Press) pp45−50
[5] 李元, 李林波, 温嘉烨, 倪正全, 张冠军 2021 物理学报 70 024701
Google Scholar
Li Y, Li L B, Wen J Y, Ni Z Q, Zhang G J 2021 Acta Phys. Sin. 70 024701
Google Scholar
[6] Seepersad Y, Pekker M, Shneider M N, Fridman A, Dobrynin D 2013 J. Appl. Phys. 46 355201
[7] Shneider M, Pekker M, Fridman A 2012 IEEE Trans. Dielectr. Electr. Insul. 19 1579
Google Scholar
[8] Shneider M N, Pekker M 2013 J. Appl. Phys. 114 214906
Google Scholar
[9] Pekker M, Shneider M N 2017 Fluid Dyn. Res. 49 035503
Google Scholar
[10] Aghdam A C, Farouk T 2020 Plasma Sources Sci. Technol. 29 025011
Google Scholar
[11] 涂婧怡, 陈赦, 汪沨 2019 物理学报 68 095202
Google Scholar
Tu J Y, Chen S, Wang F 2019 Acta Phys. Sin. 68 095202
Google Scholar
[12] 张晋琪, 蒋兴良, 陈志刚 2006 强激光与粒子束 1 18 1053
Zhang J Q, Jiang X L, Chen Z G 2006 High Power Laser Part. Beams 18 1053
[13] 李元, 温嘉烨, 李林波, 郜晶, 石亚轩, 刘志濠, 张冠军 2021 强激光与粒子束 33 065001
Google Scholar
Li Y, Wen J Y, Li L B, Gao J, Shi Y X, Liu Z H Zhang G J 2021 High Power Laser Part. Beams 33 065001
Google Scholar
[14] Chen X, Li, C, Ke K 2017 Chin. Sci. Bull. 62 2866
[15] Wen X Q, Zhou Y B, Xue X D, Yang Y T 2021 Phys. Plasmas 28 013507
Google Scholar
[16] Yang Y T, Wen X Q, Wang L R, Wang X 2022 Phys. Plasmas 29 093501
Google Scholar
[17] 尹昊, 宋通, 彭雄刚, 张鹏, 于润升, 陈喆, 曹兴忠, 王宝义 2023 物理学报 72 114101
Google Scholar
Yin H, Song T, Peng X G, Zhang P, Yu R S, Chen Z, Cao X Z, Wang B Y 2023 Acta Phys. Sin. 72 114101
Google Scholar
[18] 赵喆, 卢岳, 张振华, 隋曼龄 2019 物理化学学报 35 539
Google Scholar
Zhao Z, Lu Y, Zhang Z H, Sui M L 2019 Acta Phys. -Chim. Sin. 35 539
Google Scholar
[19] Damascelli A, Hussain Z, Shen Z X 2003 Rev. Mod. Phys. 75 473
Google Scholar
[20] 赵林, 刘国东, 周兴江 2021 物理学报 70 017406
Google Scholar
Zhao L, Liu G D, Zhou X J 2021 Acta Phys. Sin. 70 017406
Google Scholar
[21] Bousis C, Emfietzoglou D, Hadjidoukas P, Nikjoo H, Pathak A 2008 Nucl. Instrum. Methods Phys. Res. Sect. B 266 1185
Google Scholar
[22] Dingfelder M, Ritchie R H, Turner J E, Friedland W, Paretzke H G, Hamm R N 2008 Radiat. Res. 169 584
Google Scholar
[23] Bordage M C, Bordes J, Edel S, Terrissol M, Franceries X, Bardiès M, Lampe N, Incerti S 2016 Physica Med. 32 1833
Google Scholar
[24] 谭震宇, 张黎明, 王晶, 高洪霞 2012 电工技术学报 27 1
Tan Z Y, Zhang L M, Wang J, Gao H X, 2012 Trans. Chin. Electrotech. Soc. 27 1
[25] Uehara S, Nikjoo H, Goodhead D T 1992 Phys. Med. Biol. 37 1841
[26] Emfietzoglou D, Papamichael G, Androulidaki I, Karava K, Kostarelos K, Pathak A, Moscovitch M 2005 Nucl. Instrum. Methods Phys. Res. , Sect. B 228 341
Google Scholar
[27] Dingfelder M, Hantke D, Inokuti M, Paretzke H G 1998 Radiat. Phys. Chem. 53 1
Google Scholar
[28] Fernandez-Varea J M, Mayol R, Liljequist D, Salvat F 1993 J. Phys. Condens. Matter 5 3593
Google Scholar
[29] Vriens L 1966 Phys. Rev. 141 88
Google Scholar
[30] Emfietzoglou D, Nikjoo H A 2007 Radiat. Res. 167 110
Google Scholar
[31] Choi E, Chon K S, Yoon M G 2020 Radiat. Eff. Defects Solids 175 11
[32] Incerti S, Kyriakou I, Tran H N 2017 Nucl. Instrum. Methods Phys. Res. , Sect. B B 397 45
Google Scholar
[33] 李林波 2021 硕士学位论文 (西安: 西安交通大学)
Li L B 2021 M. S. Thesis (Xi'an: Xi'an Jiaotong University
[34] Wang D, Namihira T 2020 Plasma Sources Sci. Technol. 29 023001
Google Scholar
[35] Emfietzoglou D 2003 Radiat. Phys. Chem. 66 373
Google Scholar
[36] Combecher D 1980 Radiat. Res. 84 189
Google Scholar
DownLoad:
Metrics
- Abstract views: 173
- PDF Downloads: 2
- Cited By: 0
