Electron transport characteristics in water under electrostrictive effect

Li Yuan; Li Chun-Peng; Li Lin-Bo; Yuan Lei; Wang Ya-Zhen; Shi Ya-Xuan; Zhang Guan-Jun

doi:10.7498/aps.73.20231893

Abstract

The transport characteristics of electrons are crucial for the initiation 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 θ_shift ~ 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:

Authors and contacts

School of Electrical Engineering, Xi’an Jiaotong University, Xi’an 710049, China

Corresponding author: Li Yuan, liyuan8490@xjtu.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 52041702).

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References

[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
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[15]	Wen X Q, Zhou Y B, Xue X D, Yang Y T 2021 Phys. Plasmas 28 013507 Google Scholar
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[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

Cited By

图 1 电致伸缩作用下液态水空化及电子–水分子碰撞过程^[5]

Figure 1. Cavitation of liquid water and electron–water collision process under electrostriction^[5].

DownLoad: Full-Size Img PowerPoint

图 2 水中电子输运仿真流程

Figure 2. Simulation flow chart of electronic transport in water

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图 3 电子入射水体过程示意

Figure 3. Schematic diagram of electron ejection into water bulk.

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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).

DownLoad: Full-Size Img PowerPoint

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.

DownLoad: Full-Size Img PowerPoint

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.

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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.

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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.

DownLoad: Full-Size Img PowerPoint

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.

DownLoad: Full-Size Img PowerPoint

图 10 电子能损与电子剩余能量

Figure 10. Energy consumption rate and residual energy of electron.

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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.

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图 12 不同电子能量下的W值

Figure 12. W values at different electron energies.

DownLoad: Full-Size Img PowerPoint

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	B_j (j = 1, 2···, 5)/eV	U_j (j = 1, 2···, 5)/eV	激发能级	E_j (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

map

[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 Google Scholar 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 Google Scholar
[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 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 Google Scholar
[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 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 Google Scholar
[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 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 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 Google Scholar Tan Z Y, Zhang L M, Wang J, Gao H X, 2012 Trans. Chin. Electrotech. Soc. 27 1 Google Scholar
[25]	Uehara S, Nikjoo H, Goodhead D T 1992 Phys. Med. Biol. 37 1841 Google Scholar
[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

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