Initial measurement of ion nonextensive parameter with geodesic acoustic mode theory

Author:

Qiu Huibin,Xiao Donghua,Wu Junjie,Wu Shengfa,Zhong Chengjie,Li Xiaobin,Peng Xingkun,Yuan Youlong,Cai Qilong,Chang Jinming,Hu Tianyi,Hu Zuozhi,Zhu Yuqing

Abstract

AbstractThe 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.

Funder

National Natural Science Foundation of China

International Science and Technology Cooperation Programme

Jiangxi Province Key Laboratory of Fusion and Information Control

Magnetic Confinement Fusion and Material Modification Experimental Platform

College Students' Innovative Entrepreneurial Training Plan Program of Nanchang University

Natural Science Foundation of Jiangxi Province

Innovation Credit Research Training Program of Nanchang University

Publisher

Springer Science and Business Media LLC

Subject

Multidisciplinary

Reference51 articles.

1. Qiu, H. et al. Initial measurement of electron nonextensive parameter with electric probe. Phys. Rev. E 101, 043206. https://doi.org/10.1103/PhysRevE.101.043206 (2020).

2. Tsallis, C. Introduction to Nonextensive Statistical Mechanics: Approaching a Complex World (Springer, 2009).

3. Tsallis, C. Nonextensive Statistical Mechanics and Thermodynamics. http://tsallis.cat.cbpf.br/biblio.htm (2021).

4. Qiu, H. et al. Sheath potential coefficient in plasma with nonextensive distribution. AIP Adv. 10, 065135. https://doi.org/10.1063/5.0005576 (2020).

5. Qiu, H. et al. Method for Measuring Plasma Electron Nonextensive Parameter (International Patent Number: PCT/CN2020/084082).

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