Shot-noise-induced lower temperature limit of the nonneutral plasma parallel temperature diagnostic
Abstract We develop a new algorithm to estimate the temperature of a nonneutral plasma in a Penning-Malmberg trap. The algorithm analyzes data obtained by slowly lowering a voltage that confines one end of the plasma and collecting escaping charges, and is a maximum likelihood estimator based on a p...
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SpringerOpen
2024-12-01
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| Series: | EPJ Techniques and Instrumentation |
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| Online Access: | https://doi.org/10.1140/epjti/s40485-024-00112-0 |
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| author | Adrianne Zhong Joel Fajans Jonathan S. Wurtele |
| author_facet | Adrianne Zhong Joel Fajans Jonathan S. Wurtele |
| author_sort | Adrianne Zhong |
| collection | DOAJ |
| description | Abstract We develop a new algorithm to estimate the temperature of a nonneutral plasma in a Penning-Malmberg trap. The algorithm analyzes data obtained by slowly lowering a voltage that confines one end of the plasma and collecting escaping charges, and is a maximum likelihood estimator based on a physically-motivated model of the escape protocol presented in (Beck in Measurement of the magnetic and temperature dependence of the electron-electron anisotropic temperature relaxation rate. PhD thesis, 1990). Significantly, our algorithm may be used on single-count data, allowing for improved fits with low numbers of escaping electrons. This is important for low-temperature plasmas such as those used in antihydrogen trapping. We perform a Monte Carlo simulation of our algorithm, and assess its robustness to intrinsic shot noise and external noise. The assumptions in this paper allow for a lower bound for measurable plasma temperatures of approximately 3 K $3\,\mathrm{K}$ for plasmas of length 1 cm $1\,\mathrm{cm}$ , with approximately 100 particle counts needed for an accuracy of ± 10 % $\pm 10 \%$ . |
| format | Article |
| id | doaj-art-9c0e199ec21d4359a1adb84aef8279a9 |
| institution | Kabale University |
| issn | 2195-7045 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | EPJ Techniques and Instrumentation |
| spelling | doaj-art-9c0e199ec21d4359a1adb84aef8279a92024-12-22T12:18:26ZengSpringerOpenEPJ Techniques and Instrumentation2195-70452024-12-0111112010.1140/epjti/s40485-024-00112-0Shot-noise-induced lower temperature limit of the nonneutral plasma parallel temperature diagnosticAdrianne Zhong0Joel Fajans1Jonathan S. Wurtele2Department of Physics, University of California, BerkeleyDepartment of Physics, University of California, BerkeleyDepartment of Physics, University of California, BerkeleyAbstract We develop a new algorithm to estimate the temperature of a nonneutral plasma in a Penning-Malmberg trap. The algorithm analyzes data obtained by slowly lowering a voltage that confines one end of the plasma and collecting escaping charges, and is a maximum likelihood estimator based on a physically-motivated model of the escape protocol presented in (Beck in Measurement of the magnetic and temperature dependence of the electron-electron anisotropic temperature relaxation rate. PhD thesis, 1990). Significantly, our algorithm may be used on single-count data, allowing for improved fits with low numbers of escaping electrons. This is important for low-temperature plasmas such as those used in antihydrogen trapping. We perform a Monte Carlo simulation of our algorithm, and assess its robustness to intrinsic shot noise and external noise. The assumptions in this paper allow for a lower bound for measurable plasma temperatures of approximately 3 K $3\,\mathrm{K}$ for plasmas of length 1 cm $1\,\mathrm{cm}$ , with approximately 100 particle counts needed for an accuracy of ± 10 % $\pm 10 \%$ .https://doi.org/10.1140/epjti/s40485-024-00112-0Nonneutral plasmaPenning-Malmberg trapTemperature diagnosticSingle-count dataMeasurable temperature lower bound |
| spellingShingle | Adrianne Zhong Joel Fajans Jonathan S. Wurtele Shot-noise-induced lower temperature limit of the nonneutral plasma parallel temperature diagnostic EPJ Techniques and Instrumentation Nonneutral plasma Penning-Malmberg trap Temperature diagnostic Single-count data Measurable temperature lower bound |
| title | Shot-noise-induced lower temperature limit of the nonneutral plasma parallel temperature diagnostic |
| title_full | Shot-noise-induced lower temperature limit of the nonneutral plasma parallel temperature diagnostic |
| title_fullStr | Shot-noise-induced lower temperature limit of the nonneutral plasma parallel temperature diagnostic |
| title_full_unstemmed | Shot-noise-induced lower temperature limit of the nonneutral plasma parallel temperature diagnostic |
| title_short | Shot-noise-induced lower temperature limit of the nonneutral plasma parallel temperature diagnostic |
| title_sort | shot noise induced lower temperature limit of the nonneutral plasma parallel temperature diagnostic |
| topic | Nonneutral plasma Penning-Malmberg trap Temperature diagnostic Single-count data Measurable temperature lower bound |
| url | https://doi.org/10.1140/epjti/s40485-024-00112-0 |
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