<trans-title xml:lang="en">Simulation on complex dynamics of hollow cathode discharge in argon</trans-title>

Fig. 5. Different ionization rates: (a) G1 ground state ionization; (b) G7 Penning ionization; (c) G10 Penning ionization; (d) G5 stepwise ionization不同电离速率分布图　(a) G1基态电离; (b) G7潘宁电离; (c) G10潘宁电离; (d) G5分步电离

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Fig. 6. Radial distribution of different ionizations at x = 1.2 mm 不同电离速率一维径向分布图(x = 1.2 mm)

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Fig. 7. Radial distribution of averaged electron energy and electron density at x = 1.2 mm. 平均电子能量和电子密度一维径向分布图(x = 1.2 mm)

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Fig. 8. Production rate of Ar^4s: (a) G2, direct excitation; (b) G20, radiation transition from Ar^4p. 氩原子Ar^4s能级生成速率　(a) G2, 直接激发; (b) G20, 氩原子Ar^4p能级辐射跃迁

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Fig. 9. Radial production rate of Ar^4s. 生成4s能级的径向分布图

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Fig. 10. The Ar^4s consuming rates of different reactions: (a) G17, Ar^4s + e → Ar^3d + e; (b) G18, Ar^4s + e → Ar^4p + e. 消耗Ar^4s能级的反应速率　(a) G17, Ar^4s + e → Ar^3d + e; (b) G18, Ar^4s + e → Ar^4p + e

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Fig. 11. Radial distribution of the Ar^4s consuming rates. 消耗Ar^4s能级的反应速率一维分布图

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Fig. 12. The Ar^4p production rates of different reactions: (a) G3, Ar + e → Ar^4p + e; (b) G21, Ar^3d→ Ar^4p. 激发态氩原子Ar^4p生成速率　(a) G3, Ar + e → Ar^4p + e; (b) G21, Ar^3d→ Ar^4p

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Fig. 13. Radial distribution of the production rates of Ar^4p. Ar^4p生成速率的径向分布图

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Fig. 14. Radial distribution of the Ar^4p consuming rates. 消耗Ar^4p能级的反应速率一维分布图

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Table 1. Discharge reactions in the model.

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Table 1. Discharge reactions in the model.

反应标号	反应方程	反应标号	反应方程
G1	Ar + e → Ar⁺ + 2e^[12]	G17	Ar^4s + e → Ar^3d + e^[16]
G2	Ar + e → Ar^4s + e^[13]	G18	Ar^4s + e → Ar^4p + e^[12]
G3	Ar + e → Ar^4p + e^[13]	G19	Ar^4p + e → Ar^4s + e^[12]
G4	Ar + e → Ar^3d + e^[13]	G20	Ar^4p → Ar^4s + hν^[17]
G5	Ar^4s + e → Ar⁺ + 2e^[14]	G21	Ar^3d → Ar^4p^[16]
G6	Ar^4p + e → Ar⁺ + 2e^[14]	G22	Ar⁺ + 2e → Ar + e^[14]
G7	2Ar^4s → Ar⁺ + Ar + e^[15]	G23	Ar⁺ + e → Ar^4s^[12]
G8	2Ar^4p → Ar⁺ + Ar + e^[16]	G24	Ar⁺ + 2e → Ar^4s + e^[12]
G9	2Ar^4s → Ar₂⁺ + e^[17]	G25	Ar₂⁺ + e → 2Ar^[19]
G10	Ar^4s + Ar → 2Ar^[18]	G26	Ar₂⁺ + e → Ar⁺ + Ar + e^[20]
G11	Ar^4s + 2Ar → 3Ar^[18]	G27	Ar₂⁺ + e → Ar^4s + Ar^[16]
G12	2Ar + Ar⁺ → Ar₂⁺ + Arr^[16]	G28	Ar₂⁺ + e → 2Ar^4s^[21]
G13	Ar^4s + 2Ar → Ar₂ + Ar^[15]	G29	Ar₂⁺ + e → Ar^4p + Ar^[16]
G14	Ar^4s + e → Ar + e^[12]	G30	Ar₂⁺ + e → Ar^3d + Ar^[16]
G15	Ar^4s → Ar +hν^[12]	G31	Ar + e → Ar + e^[22]
G16	Ar^4p +e → Ar + e^[12]

Table 2.
Average values of the different ionization rates in the discharge region.
不同电离反应速率的平均值

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Table 2.
Average values of the different ionization rates in the discharge region.
不同电离反应速率的平均值

反应标号	反应方程	速率平均值/cm^–3·s^–1
G1	Ar + e → Ar⁺ + 2e	2.5 × 10¹⁷
G5	Ar^4s + e → Ar⁺ + 2e	2.6 × 10¹⁶
G6	Ar^4p + e → Ar⁺ + 2e	1.1 × 10¹⁵
G7	2Ar^4s→ Ar⁺ + Ar + e	3.9 × 10¹⁶
G8	2Ar^4p→ Ar⁺ + Ar + e	2.9 × 10¹²
G10	2Ar^4s→ Ar₂⁺ + e	3.8 × 10¹⁶

Table 3.
Average values of the different production rates of Ar^4s in the discharge region.
Ar^4s生成速率平均值

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Table 3.
Average values of the different production rates of Ar^4s in the discharge region.
Ar^4s生成速率平均值

反应标号	反应方程	源项平均值/cm^–3·s^–1
G2	Ar + e → Ar^4s + e	1.6 × 10¹⁷
G19	Ar^4p + e → Ar^4s + e	9.1 × 10¹⁵
G20	Ar^4p→ Ar^4s + hν	11.8 × 10¹⁷
G24	Ar⁺ + 2e → Ar^4s + e	55.3
G23	Ar + e → Ar^4s	4.4 × 10¹²
G27	Ar₂⁺ + e → Ar^4s + Ar	4.3 × 10¹⁵
G28	Ar₂⁺ + e → 2Ar^4s	3.9 × 10¹⁴

Table 4.
Average values of the different consuming rates of Ar^4s in the discharge region.
消耗Ar^4s的不同反应速率的平均值

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Table 4.
Average values of the different consuming rates of Ar^4s in the discharge region.
消耗Ar^4s的不同反应速率的平均值

反应标号	反应方程	源项平均值/cm^–3·s^–1
G5	Ar^4s + e → Ar⁺ + 2e	2.6 × 10¹⁶
G7	2Ar^4s → Ar⁺ +Ar + e	7.9 × 10¹⁶
G9	Ar^4s + Ar → 2Ar	3.0 × 10¹⁵
G10	2Ar^4s → Ar₂⁺ + e	7.6 × 10¹⁶
G11	Ar^4s + 2Ar → 3Ar	4.5 × 10¹⁵
G13	Ar^4s + 2Ar → Ar₂ + Ar	3.5 × 10¹⁶
G14	Ar^4s + e → Ar + e	1.2 × 10¹⁵
G15	Ar^4s → Ar + hν	1.9 × 10¹⁷
G17	Ar^4s + e → Ar^3d + e	1.2 × 10¹⁷
G18	Ar^4s + e → Ar^4p + e	8.2 × 10¹⁷

Table 5.
Average values of the different production rates of Ar^4p in the discharge region.
Ar^4p生成速率平均值

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Table 5.
Average values of the different production rates of Ar^4p in the discharge region.
Ar^4p生成速率平均值

反应标号	反应方程	源项平均值/cm^–3·s^–1
G3	Ar + e → Ar^4p + e	2.2 × 10¹⁷
G18	Ar^4s + e → Ar^4p + e	8.2 × 10¹⁷
G21	Ar^3d → Ar^4p	1.4 × 10¹⁷
G29	Ar₂⁺ + e → Ar^4p + Ar	4.3 × 10¹⁴

Table 6.
Average values of the different consuming rates of Ar^4p in the discharge region
消耗Ar^4p的不同反应速率的平均值

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Table 6.
Average values of the different consuming rates of Ar^4p in the discharge region
消耗Ar^4p的不同反应速率的平均值

反应标号	反应方程	源项平均值/cm^–3·s^–1
G6	Ar^4p + e→Ar⁺ + 2e	1.1 × 10¹⁵
G8	2Ar^4p→Ar⁺ + Ar + e	5.8 × 10¹²
G16	Ar^4p +e→Ar + e	1.3 × 10¹³
G19	Ar^4p + e→Ar^4s + e	9.1 × 10¹⁵
G20	Ar^4p→Ar^4s + hν	11.8 × 10¹⁷

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Shou-Jie He, Jia Zhou, Yu-Xiao Qu, Bao-Ming Zhang, Ya Zhang, Qing Li. Simulation on complex dynamics of hollow cathode discharge in argon[J]. Acta Physica Sinica, 2019, 68(21): 215101-1

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Paper Information

Received: May. 14, 2019

Accepted: --

Published Online: Sep. 17, 2020

The Author Email:

DOI:10.7498/aps.68.20190734

Topics

Nuclear physics

Particles and fields

Particle and nuclear astrophysics and cosmology

Table 1. Discharge reactions in the model.

Table 1. Discharge reactions in the model.

Table 2. Average values of the different ionization rates in the discharge region.不同电离反应速率的平均值

Table 2. Average values of the different ionization rates in the discharge region.不同电离反应速率的平均值

Table 3. Average values of the different production rates of Ar4s in the discharge region. Ar4s生成速率平均值

Table 3. Average values of the different production rates of Ar4s in the discharge region. Ar4s生成速率平均值

Table 4. Average values of the different consuming rates of Ar4s in the discharge region. 消耗Ar4s的不同反应速率的平均值

Table 4. Average values of the different consuming rates of Ar4s in the discharge region. 消耗Ar4s的不同反应速率的平均值

Table 5. Average values of the different production rates of Ar4p in the discharge region. Ar4p生成速率平均值

Table 5. Average values of the different production rates of Ar4p in the discharge region. Ar4p生成速率平均值

Table 6. Average values of the different consuming rates of Ar4p in the discharge region 消耗Ar4p的不同反应速率的平均值

Table 6. Average values of the different consuming rates of Ar4p in the discharge region 消耗Ar4p的不同反应速率的平均值

Table 2.
Average values of the different ionization rates in the discharge region.
不同电离反应速率的平均值

Table 2.
Average values of the different ionization rates in the discharge region.
不同电离反应速率的平均值

Table 3.
Average values of the different production rates of Ar^4s in the discharge region.
Ar^4s生成速率平均值

Table 3.
Average values of the different production rates of Ar^4s in the discharge region.
Ar^4s生成速率平均值

Table 4.
Average values of the different consuming rates of Ar^4s in the discharge region.
消耗Ar^4s的不同反应速率的平均值

Table 4.
Average values of the different consuming rates of Ar^4s in the discharge region.
消耗Ar^4s的不同反应速率的平均值

Table 5.
Average values of the different production rates of Ar^4p in the discharge region.
Ar^4p生成速率平均值

Table 5.
Average values of the different production rates of Ar^4p in the discharge region.
Ar^4p生成速率平均值

Table 6.
Average values of the different consuming rates of Ar^4p in the discharge region
消耗Ar^4p的不同反应速率的平均值

Table 6.
Average values of the different consuming rates of Ar^4p in the discharge region
消耗Ar^4p的不同反应速率的平均值