| PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES |
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Noise reduction via dual-grid charge averaging |
| Haiyun Tan(谭海云)1,2,3, Tianyuan Huang(黄天源)2,3, Peiyu Ji(季佩宇)4, Liang Xu(徐亮)2,3,†, and Xuemei Wu(吴雪梅)2,3,‡ |
1 School of Electronic Information Engineering, Suzhou Polytechnic University, Suzhou 215000, China;
2 School of Physical Science and Technology & Collaborative Innovation Center of Suzhou Nano Science and Technology, Soochow University, Suzhou 215006, China;
3 Key Laboratory of Advanced Optical Manufacturing Technologies of Jiangsu Province & Key Laboratory of Modern Optical Technologies of Education Ministry of China, Soochow University, Suzhou 215006, China;
4 School of Microelectronics and School of Integrated Circuits, Nantong University, Nantong 226019, China |
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Abstract Numerical heating in particle-in-cell simulations arises primarily from statistical noise during the deposition process, which has long been a critical bottleneck limiting long-term simulation accuracy. This work proposes a dual-grid scheme that enhances sampling accuracy by leveraging complementary spatial information from two staggered grids, thereby reducing statistical noise. Analytical derivations show that, through its distinctive deposition mechanism, the scheme effectively elevates bilinear interpolation to a higher-order formulation. Numerical experiments validate this conclusion: compared to quadratic interpolation, the proposed method achieves comparable noise suppression and mitigation of noise-driven heating, while exhibiting superior capability in controlling grid heating and preserving energy conservation in long-term simulations. Most importantly, phase-space diagnostics confirm that the scheme delivers the highest simulation accuracy among the tested methods. These results demonstrate that the proposed approach provides an effective pathway for advancing noise control in particle-in-cell simulations.
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Received: 10 July 2025
Revised: 19 September 2025
Accepted manuscript online: 07 October 2025
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PACS:
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52.80.Pi
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(High-frequency and RF discharges)
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52.27.Aj
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(Single-component, electron-positive-ion plasmas)
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52.65.Rr
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(Particle-in-cell method)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 12405237, 12405293, and 12305284) |
Corresponding Authors:
Liang Xu, Xuemei Wu
E-mail: liangxu@suda.edu.cn;xmwu@suda.edu.cn
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Cite this article:
Haiyun Tan(谭海云), Tianyuan Huang(黄天源), Peiyu Ji(季佩宇), Liang Xu(徐亮), and Xuemei Wu(吴雪梅) Noise reduction via dual-grid charge averaging 2026 Chin. Phys. B 35 065201
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[1] Zhang S J, Zhou W M, Yin Y, Zou D B, Zhao N, Xie D and Zhuo H B 2023 Chin. Phys. B 32 035201
[2] Lehmann G and Spatschek K H 2024 Phys. Rev. E 110 015209
[3] Yuan X X, Zhou C T, Zhang H, Li R, Ping Y L and Zhong J Y 2023 Chin. Phys. B 32 054101
[4] Tonneau R, Pflug A and Lucas S 2020 Plasma Sources Sci. Technol. 29 115007
[5] Kawamura E, Birdsall C K and Vahedi V 2000 Plasma Sources Sci. Technol. 9 413
[6] Birdsall C K and Langdon A B 2005 Plasma physics via computer simulation (Taylor and Francis)
[7] Barnes D and Chacón L 2021 Comput. Phys. Commun. 258 107560
[8] Acciarri M D, Moore C and Baalrud S D 2024 Phys. Plasmas 31 093903
[9] Jubin S, Powis A T, Villafana W, Sydorenko D, Rauf S, Khrabrov A V, Sarwar S and Kaganovich I D 2024 Phys. Plasmas 31 023902
[10] Arber T D, Bennett K, Brady C S, et al. 2015 Plasma Phys. Control. Fusion 57 113001
[11] Brackbill J U 2016 J. Comput. Phys. 317 405
[12] Filbet F and Sonnendrücker E 2003 Numerical methods for the Vlasov equation, in: Numerical Mathematics and Advanced Applications (USA: Springer)
[13] Ricketson L F and Cerfon A J 2017 Plasma Phys. Control. Fusion 59 024002
[14] Deluzet F, Fubiani G, Garrigues L, Guillet C and Narski J 2022 ESAIM: M2AN 56 1809
[15] Deluzet F, Fubiani G, Garrigues L, Guillet C and Narski J 2023 J. Comput. Phys. 480 112022
[16] Evstatiev E G, Finn J M, Shadwick B A and Hengartner N 2021 J. Comput. Phys. 440 110394
[17] Kawamura E, Birdsall C K and Vahedi V 2000 Plasma Sources Sci. Technol. 9 413
[18] Fiuza F, Marti M, Fonseca R A, Silva L O, Tonge J, May J and MoriW B 2011 Plasma Phys. Control. Fusion 53 074004
[19] Picklo M J, Tang Q, Zhang Y Z, Ryan J K and Tang X Z 2024 J. Comput. Phys. 502 112790
[20] Faghihi D, Carey V, Michoski C, Hager R, Janhunen S, Chang C S and Moser R D 2020 J. Comput. Phys. 409 109317
[21] Muralikrishnan S, Cerfon A J, Frey M, Ricketson L F and Adelmann A 2021 J. Comput. Phys: X 11 100094
[22] Garrigues L, Tezenas du Montcel B, Fubiani G, Bertomeu F, Deluzet F and Narski J 2021 J. Appl. Phys. 129 153303
[23] Garrigues L, Tezenas du Montcel B, Fubiani G and Reman B C G 2021 J. Appl. Phys. 129 153304
[24] Guillet C 2024 Multiscale Model Sim. 22 891
[25] Nicolas T, Dubois V, Fang Q and Lütjens H 2024 Comput. Phys. Commun. 299 109151
[26] Verboncoeur J P 2005 Plasma Phys. Control. Fusion 47 A231
[27] Langdon A B, Cohen B I and Friedman A 1983 J. Comput. Phys. 51 107
[28] Stix T 1992 Waves in Plasmas (New York, NY, USA: American Institute of Physics).
[29] Goldston R and Rutherford P 1995 Introduction to plasma physics (Taylor & Francis)
[30] Hockney W and Eastwood J W 1988 Computer Simulation Using Particles (CRC Press)
[31] Werner G R, Adams L C and Cary J R 2025 arXiv: 2503.05123v1
[32] Shadwick B A and Schroeder C B 2009 AIP Conference Proceedings 321 1086
[33] Villasenor J and Buneman O 1992 Comput. Phys. Commun. 69 306
[34] Esirkepov T Z H 2001 Comput. Phys. Commun. 135 144 |
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