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| Format: | Preprint |
| Published: |
2024
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| Online Access: | https://arxiv.org/abs/2401.07765 |
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| _version_ | 1866916092100739072 |
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| author | Röpke, G. |
| author_facet | Röpke, G. |
| contents | An improved virial expansion for the low-density limit of the electrical conductivity $σ(T,n)$ of hydrogen as the simplest ionic plasma is presented. Quantum statistical methods provide exact values for the lowest virial coefficients, which serve as a benchmark for analytical approaches to electrical conductivity as well as for numerical results from density functional theory based molecular dynamics simulations (DFT-MD) or path-integral Monte Carlo (PIMC) simulations. The correction factor introduced by Reinholz {\it et al.}, Phys. Rev. E {\bf 91}, 043105 (2015) is applied to describe the inclusion of electron-electron collisions in DFT based calculations of transport coefficients. As a benchmark, the first virial coefficient is correctly described with this approach. The value of the second virial coefficient is discussed, questions about its value according to DFT-MD simulations are addressed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07765 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Electrical Conductivity of Hydrogen Plasmas: Low-density Benchmarks and Virial Expansion Including $e-e$ Collisions Röpke, G. Plasma Physics An improved virial expansion for the low-density limit of the electrical conductivity $σ(T,n)$ of hydrogen as the simplest ionic plasma is presented. Quantum statistical methods provide exact values for the lowest virial coefficients, which serve as a benchmark for analytical approaches to electrical conductivity as well as for numerical results from density functional theory based molecular dynamics simulations (DFT-MD) or path-integral Monte Carlo (PIMC) simulations. The correction factor introduced by Reinholz {\it et al.}, Phys. Rev. E {\bf 91}, 043105 (2015) is applied to describe the inclusion of electron-electron collisions in DFT based calculations of transport coefficients. As a benchmark, the first virial coefficient is correctly described with this approach. The value of the second virial coefficient is discussed, questions about its value according to DFT-MD simulations are addressed. |
| title | Electrical Conductivity of Hydrogen Plasmas: Low-density Benchmarks and Virial Expansion Including $e-e$ Collisions |
| topic | Plasma Physics |
| url | https://arxiv.org/abs/2401.07765 |