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PreprintCC BY 4.0arXiv

On the statistical theory of strong electrolytes and high-temperature plasmas: New applications of the work by Yukhnovskii and Kelbg II

  • W. Ebeling
  • M. Holovko
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Abstract

Exponential potentials were used since Kramers, Hellman, Glauberman, Yukhnovskii and Kelbg for solving problems of quantum chemistry, ionic solutions and plasmas. Here we develop the theory further and add new results, in particular with respect to the quantum-statistical theory. In particular, we derive the Kelbg quantum potential for the exponential interactions and discuss screening as well as the problem of thermodynamic stability. Further we give new applications to a qualitative theory of alkali plasmas and fusion plasmas. We show that the exponential potential and the early analytical results of Yukhnovskii and Kelbg allow a qualtative analytical treatment of such difficult problems as the phase transitions in electrolytes and alkali plasmas.

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Cite

BibTeXRIS
BibTeX
@misc{ebeling2026statistical,
  title = {{On the statistical theory of strong electrolytes and high-temperature plasmas: New applications of the work by Yukhnovskii and Kelbg II}},
  author = {W. Ebeling and M. Holovko},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.23621},
  eprint = {2609.23621},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.23621},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - On the statistical theory of strong electrolytes and high-temperature plasmas: New applications of the work by Yukhnovskii and Kelbg II
AU  - W. Ebeling
AU  - M. Holovko
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2609.23621
UR  - https://arxiv.org/abs/2609.23621
AB  - Exponential potentials were used since Kramers, Hellman, Glauberman, Yukhnovskii and Kelbg for solving problems of quantum chemistry, ionic solutions and plasmas. Here we develop the theory further and add new results, in particular with respect to the quantum-statistical theory. In particular, we derive the Kelbg quantum potential for the exponential interactions and discuss screening as well as the problem of thermodynamic stability. Further we give new applications to a qualitative theory of alkali plasmas and fusion plasmas. We show that the exponential potential and the early analytical results of Yukhnovskii and Kelbg allow a qualtative analytical treatment of such difficult problems as the phase transitions in electrolytes and alkali plasmas.
ER  -