On the Thomas-Fermi model: Gabor J. Kalman's contribution and numerical approximations
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866914678992535552 |
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| author | Pain, Jean-Christophe |
| author_facet | Pain, Jean-Christophe |
| contents | In this article, we would like to pay tribute to Gabor Kalman, outlining his contribution to a model widely used in dense plasma physics: the high-temperature Thomas-Fermi model. The approach of Ruoxian Ying and Kalman relies on the separation of the bound and free electrons, a physically reasonable definition of the bound electrons, a description of the source density in the Poisson equation through the electron-ion and ion-ion pair correlation functions and a determination of the degree of ionization from the minimization of the total free energy. We also report on different approximations of the function $Φ$, which is a cornerstone of the original Thomas-Femi model. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2402_09157 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Thomas-Fermi model: Gabor J. Kalman's contribution and numerical approximations Pain, Jean-Christophe Plasma Physics In this article, we would like to pay tribute to Gabor Kalman, outlining his contribution to a model widely used in dense plasma physics: the high-temperature Thomas-Fermi model. The approach of Ruoxian Ying and Kalman relies on the separation of the bound and free electrons, a physically reasonable definition of the bound electrons, a description of the source density in the Poisson equation through the electron-ion and ion-ion pair correlation functions and a determination of the degree of ionization from the minimization of the total free energy. We also report on different approximations of the function $Φ$, which is a cornerstone of the original Thomas-Femi model. |
| title | On the Thomas-Fermi model: Gabor J. Kalman's contribution and numerical approximations |
| topic | Plasma Physics |
| url | https://arxiv.org/abs/2402.09157 |