Limitations from charge quantization on the parallel temperature diagnostic of nonneutral plasmas
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866912033375518720 |
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| author | Zhong, Adrianne Fajans, Joel Wurtele, Jonathan S. |
| author_facet | Zhong, Adrianne Fajans, Joel Wurtele, Jonathan S. |
| contents | 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 [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. Approximately 100 particle counts are needed for an accuracy of +/-10% -- this provides a lower bound for measurable plasma temperatures of approximately 3 K for plasmas of length 1 cm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_11610 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Limitations from charge quantization on the parallel temperature diagnostic of nonneutral plasmas Zhong, Adrianne Fajans, Joel Wurtele, Jonathan S. Plasma Physics Data Analysis, Statistics and Probability Instrumentation and Detectors 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 [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. Approximately 100 particle counts are needed for an accuracy of +/-10% -- this provides a lower bound for measurable plasma temperatures of approximately 3 K for plasmas of length 1 cm. |
| title | Limitations from charge quantization on the parallel temperature diagnostic of nonneutral plasmas |
| topic | Plasma Physics Data Analysis, Statistics and Probability Instrumentation and Detectors |
| url | https://arxiv.org/abs/2409.11610 |