A conductivity model for hydrogen based on <i>ab initio</i> simulations

Kleinschmidt Uwe; Redmer Ronald

doi:10.1063/5.0250970

Volume 10 Issue 4

Jul. 2025

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Kleinschmidt Uwe, Redmer Ronald. A conductivity model for hydrogen based on ab initio simulations[J]. Matter and Radiation at Extremes, 2025, 10(4): 047602. doi: 10.1063/5.0250970

Citation:

Kleinschmidt Uwe, Redmer Ronald. A conductivity model for hydrogen based on ab initio simulations[J]. Matter and Radiation at Extremes, 2025, 10(4): 047602. doi: 10.1063/5.0250970

Kleinschmidt Uwe, Redmer Ronald. A conductivity model for hydrogen based on ab initio simulations[J]. Matter and Radiation at Extremes, 2025, 10(4): 047602. doi: 10.1063/5.0250970

Citation:

Kleinschmidt Uwe, Redmer Ronald. A conductivity model for hydrogen based on ab initio simulations[J]. Matter and Radiation at Extremes, 2025, 10(4): 047602. doi: 10.1063/5.0250970

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A conductivity model for hydrogen based on ab initio simulations

doi: 10.1063/5.0250970

Kleinschmidt Uwe^{,
,},
Redmer Ronald

Institut für Physik, Universität Rostock, Albert-Einstein-Strasse 23-24, D-18059 Rostock, Germany

More Information

Corresponding author: a)Author to whom correspondence should be addressed: uwe.kleinschmidt@uni-rostock.de
Received Date: 2024-11-28
Accepted Date: 2025-04-13

Available Online: 2025-11-28

Publish Date: 2025-07-01

Abstract

Abstract

We calculate the electrical and thermal conductivity of hydrogen for a wide range of densities and temperatures by using molecular dynamics simulations informed by density functional theory. On the basis of the corresponding extended ab initio data set, we construct interpolation formulas covering the range from low-density, high-temperature to high-density, low-temperature plasmas. Our conductivity model reproduces the well-known limits of the Spitzer and Ziman theory. We compare with available experimental data and find very good agreement. The new conductivity model can be applied, for example, in dynamo simulations for magnetic field generation in gas giant planets, brown dwarfs, and stellar envelopes.

Conflict of Interest
The authors have no conflicts to disclose.
Uwe Kleinschmidt: Conceptualization (equal); Formal analysis (lead); Investigation (equal); Visualization (lead); Writing – original draft (equal). Ronald Redmer: Conceptualization (equal); Investigation (equal); Supervision (lead); Writing – original draft (equal).
Author Contributions
The data that support the findings of this study are available within the article or from the corresponding author upon reasonable request.

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References(94)

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