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Virial Expansion of the Electrical Conductivity of Hydrogen Plasmas
- Source :
- Physical Review E, Physical Review E, 2021, 104, ⟨10.1103/PhysRevE.104.045204⟩
- Publication Year :
- 2021
- Publisher :
- arXiv, 2021.
-
Abstract
- The low-density limit of the electrical conductivity $\sigma(n,T)$ of hydrogen as the simplest ionic plasma is presented as function of temperature T and mass density n in form of a virial expansion of the resistivity. Quantum statistical methods yield exact values for the lowest virial coefficients which serve as benchmark for analytical approaches to the electrical conductivity as well as for numerical results obtained from density functional theory based molecular dynamics simulations (DFT-MD) or path-integral Monte Carlo (PIMC) simulations. While these simulations are well suited to calculate $\sigma(n,T)$ in a wide range of density and temperature, in particular for the warm dense matter region, they become computationally expensive in the low-density limit, and virial expansions can be utilized to balance this drawback. We present new results of DFT-MD simulations in that regime and discuss the account of electron-electron collisions by comparing with the virial expansion.<br />Comment: Supplementary Material will be made available upon journal publication
- Subjects :
- Physics
Hydrogen
Monte Carlo method
chemistry.chemical_element
FOS: Physical sciences
Plasma
Warm dense matter
01 natural sciences
7. Clean energy
Virial theorem
Physics - Plasma Physics
010305 fluids & plasmas
Computational physics
Plasma Physics (physics.plasm-ph)
Virial coefficient
chemistry
Electrical resistivity and conductivity
[SDU]Sciences of the Universe [physics]
0103 physical sciences
Virial expansion
010306 general physics
Subjects
Details
- ISSN :
- 24700045 and 24700053
- Database :
- OpenAIRE
- Journal :
- Physical Review E, Physical Review E, 2021, 104, ⟨10.1103/PhysRevE.104.045204⟩
- Accession number :
- edsair.doi.dedup.....26fbfda6e17b9befea2710e0cd08c9ce
- Full Text :
- https://doi.org/10.48550/arxiv.2109.11293