Simulation on complex dynamics of hollow cathode discharge in argon

Shou-Jie He; Jia Zhou; Yu-Xiao Qu; Bao-Ming Zhang; Ya Zhang; Qing Li

doi:10.7498/aps.68.20190734

Journals >Acta Physica Sinica >Volume 68 >Issue 21 >Page 215101-1 > Article

Acta Physica Sinica
Vol. 68, Issue 21, 215101-1 (2019)

Simulation on complex dynamics of hollow cathode discharge in argon

Shou-Jie He^*, Jia Zhou, Yu-Xiao Qu, Bao-Ming Zhang, Ya Zhang, and Qing Li

DOI: 10.7498/aps.68.20190734 Cite this Article

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 Copy Citation Text

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Fig. 1. Schematic of cylindrical hollow cathode discharge.圆筒形空心阴极放电单元截面图

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Fig. 2. Distribution of electric potential.电势分布图

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Fig. 3. Distribution of charged particle density: (a) Electron; (b) Ar⁺. 带电粒子密度分布图　(a) 电子; (b) Ar⁺

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Fig. 4. Distribution of excited state atoms: (a) Ar^4s; (b) Ar^4p; (c) Ar^3d. 激发态原子密度分布图　(a) Ar^4s; (b) Ar^4p; (c) Ar^3d

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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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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 1. Discharge reactions in the model.

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 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	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 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
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 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
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 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
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

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

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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