Sheath potential coefficient in plasma with nonextensive distribution

Qiu, Hui-Bin; Xiao, Donghua; Gao, Yue; Peng, Xingkun; Zhu, Yuqing; Zhang, Xianyang; Zhou, Zhenyu; Xiong, Wei; Ming, Zhiyi; Xu, Tianling; Xiang, Pengfei; Yang, Hai; Zhang, Jia; Huang, Tianhui; Zhou, Jinmao

doi:10.1063/5.0005576

Cited by 5 publications

(4 citation statements)

References 16 publications

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“…Recent studies 1 have shown that replacing Boltzmann–Gibbs statistical mechanics with nonextensive statistical mechanics has a strong advantage in describing plasmas. The diagnosis error without using nonextensive statistical mechanics to describe the plasma may be as high as 4 . We established the theory of nonextensive geodesic acoustic mode by introducing nonextensive statistical mechanics to take into account the system nonextensivity which has been proven by a large number of facts 3 , 12 – 31 .…”

Section: Discussionmentioning

confidence: 99%

“…The consideration of nonextensivity effects is very important to the accurate diagnosis of plasma parameters. When the nonextensivity effects are not considered, the diagnosis error of the electric probe may be as high as 83.91% 4 . Therefore, we must consider the influence of nonextensive parameters and the measurement of the nonextensive parameters is a must.…”

Section: Introductionmentioning

confidence: 99%

“…Recent plasma diagnostic research 1 shows that if nonextensive statistical mechanics is selected to describe the plasma, it will not only cover the results under the Boltzmann–Gibbs statistical mechanics framework, at the same time prove the correctness of the theory itself at the extensive limit, but also has the advantage of being able to draw conclusions which can cover at least three other situations. And after evaluating with a set of real measurement data, it is found that if the nonextensivity effect of plasma is not considered, the diagnosis error can be as high as , which shows that the actual measurement should consider the influence of nonextensive parameters 4 . Usually nonextensive parameters include electron nonextensive parameters and ion nonextensive parameters.…”

Section: Introductionmentioning

confidence: 99%

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Initial measurement of ion nonextensive parameter with geodesic acoustic mode theory

Qiu

Xiao

et al. 2022

Sci Rep

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The consideration of nonextensivity effects is crucial to the accurate diagnosis of plasma parameters; common plasma nonextensive parameters include electron nonextensive parameter and ion nonextensive parameter, and the former can be measured, while the ion nonextensive parameter cannot be measured yet. Here we show the measurement of ion nonextensive parameter of plasma based on the theory of nonextensive geodesic acoustic modes. We assume that the plasma to be measured can be described by nonextensive statistical mechanics, and on this basis, the nonextensive geodesic acoustic mode theory is established. Utilizing this theory, we have measured the ion nonextensive parameter $${{q}_{{{F}_{\mathrm {i}}}}}= 1.565$$ q F i = 1.565 which cannot be diagnosed even by a nonextensive single electric probe. Our research points out that the proposed measurement method of ion nonextensive parameter may play a role in plasma diagnosis and will help us to grasp the nonextensivity of plasma more precisely. We hope the proposed method of ion nonextensive parameter diagnosis based on the nonextensive geodesic acoustic mode theory can be the starting point of more complex ion nonextensive parameter diagnosis methods. In addition, the measurement of ion nonextensive parameter is closely related to the study of various plasma waves, instabilities, turbulence and abnormal transport, and a defined and quantitative test of nonextensive geodesic acoustic mode theory will bound up deeply with such developments.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Initial measurement of ion nonextensive parameter with geodesic acoustic mode theory

Qiu

Xiao

et al. 2022

Sci Rep

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“…This failure of the Boltzmann-Gibbs statistics is supported by many theoretical results [21][22][23] and a large number of experiments. [24][25][26][27] Many works show that the behaviour of the plasma electrons can be well described by q-non-extensive statistical mechanics, [28,29] proposed by Tsallis. The BG entropy can be recovered from Tsallis entropy in the limit of q → 1.…”

Section: Introductionmentioning

confidence: 99%

Numerical study of the effect of secondary electron emission on the sheath characteristics in q‐non‐extensive plasma

Asserghine

Missaoui

Kaouini³

et al. 2021

Contributions to Plasma Physics

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In this paper, a plasma sheath containing primary electrons, cold positive ions, and secondary electrons is studied using a one-dimensional fluid model in which the primary electrons are described by q-non-extensive distribution according to the Tsallis statistics. Based on the Sagdeev potential method and the current balance relation, a modified sheath criterion, and floating potential are established theoretically. The effect of secondary electron emission on q-non-extensive plasma sheath characteristics have been numerically examined. A significant change is observed in the quantities characterizing the non-extensive plasma sheath with the presence of the secondary electrons. It is found that the sheath properties with super-extensive distribution (q < 1) and sub-extensive distribution (q > 1) are different compared with plasma sheath with Maxwell distribution (q = 1).

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Sheath formation in the presence of non‐extensive electron distribution

Moulick¹,

Garg

Kumar

2021

Contributions to Plasma Physics

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The main aim of this article is to recognize the sheath formation in the presence of non-extensive electron distribution. The role of ion-neutral collision parameter K and the non-extensive parameter "q" has been discussed. Existing literature suggests that the presence of non-extensive electrons potentially modifies the plasma sheath behaviour. However, numerical calculations over the full plasma range, jointly addressing the sheath and presheath, are rare. Sheath formation, being a very fundamental phenomenon, deserves enough investigation in the region of non-extensive distribution of particles. This study attempts to bridge the gap in understanding the formation of the sheath in collisional plasma in the light of both Boltzmann and q-distributed non-extensive electrons.

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Sheath potential coefficient in plasma with nonextensive distribution

Cited by 5 publications

References 16 publications

Initial measurement of ion nonextensive parameter with geodesic acoustic mode theory

Initial measurement of ion nonextensive parameter with geodesic acoustic mode theory

Numerical study of the effect of secondary electron emission on the sheath characteristics in q‐non‐extensive plasma

Sheath formation in the presence of non‐extensive electron distribution

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