Abstract
In the field of plasma diagnosis, the measurement of the distribution function is significant because the distribution function is the basis for the use of plasma kinetic theory and it is the prerequisite for analyzing many physical phenomena, such as Landau damping (wave-particle resonance phenomenon) and ion sheath. Theoretical analysis and a large number of experiments have proved that plasma components do not obey Boltzmann–Gibbs statistics and can be well described by nonextensive statistical mechanics. The field of nonextensive electric probe has also made great progress, and the invention of the nonextensive single electric probes has developed and strengthened the power of plasma diagnostics. The nonextensive electric probe can not only measure the electron nonextensive parameter of plasma that cannot be measured by traditional probes but can also measure more accurate plasma parameters that can also be measured by traditional probes, such as Te, Φp, ne, Φf, and αqFe. However, diagnosing the plasma distribution function by the nonextensive electric probe has not been thoroughly and systematically analyzed and discussed. Here, we show the measurement of the plasma distribution function with a nonextensive single electric probe. This work expands the diagnostic capabilities of the nonextensive single electric probe. We utilize the nonextensive single electric probe theory to analyze the experimental data points of the I–V curve, measure the plasma electron distribution function fvx, and display the distribution curve (figure f-vx), and we also measure the plasma parameters of qFe, Te, Φp, ne, Φf, αqFe, etc. The proposed method provides a new approach to the diagnosis of the plasma distribution function and contributes to a more accurate and comprehensive grasp of plasma, which creates better conditions for us to take advantage of plasma. These initial results illustrate the potential of the nonextensive electric probe in the field of plasma diagnosis and, more generally, in accelerating the progress of fusion-energy science and helping to understand complex physical systems.
Highlights
In the field of plasma parameter diagnosis, many plasma parameters are obtained by electric probe diagnosis.1 It is more than important to predict the distribution of each component in plasma for electric probe measurement,2,3 and it is necessary to preset by which statistical mechanics the plasma to be measured can be described
In order to give full play to the diagnostic function of the nonextensive single electric probe, we excavate its function deeply and find that the nonextensive single electric probe can be used to diagnose the electron distribution function of the undisturbed plasma to be measured because there is a relationship between the onedimensional nonextensive distribution function, which has a one-toone mapping with the three-dimensional nonextensive distribution, and the electronic nonextensive parameter as follows:22 me 1/2
The real plasma system21 here is described by a nonextensive statistical mechanics with an electron nonextensive parameter of 1.253, and this is the same result as the fitting method measured by SSE for goodness of fit, which has confirmed the reliability of our fitting results
Summary
In the field of plasma parameter diagnosis, many plasma parameters are obtained by electric probe diagnosis. It is more than important to predict the distribution of each component in plasma for electric probe measurement, and it is necessary to preset by which statistical mechanics the plasma to be measured can be described. It is more than important to predict the distribution of each component in plasma for electric probe measurement, and it is necessary to preset by which statistical mechanics the plasma to be measured can be described. The statistical hypothesis of plasma includes Boltzmann–Gibbs statistical mechanics In this hypothesis, each component of plasma obeys the Maxwellian distribution. We assume that the plasma to be measured can be described by nonextensive statistical mechanics. The diagnosis of the distribution function based on a nonextensive electric probe has not, to our knowledge, been reported in the existing literature. We develop the plasma distribution function measurement theory and technology to extend the diagnostic functions of the existing nonextensive single electric probe by digging into the basic theory of the nonextensive single electric probe
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