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Erlangen 2026 – wissenschaftliches Programm

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P: Fachverband Plasmaphysik

P 18: High Energy Density Physics III

P 18.3: Vortrag

Donnerstag, 19. März 2026, 17:00–17:15, KH 01.020

Hydrodynamic equations for strongly coupled plasmas — •Daniels Krimans, Hanno Kählert, and Michael Bonitz — Institute of Theoretical Physics and Astrophysics, Christian-Albrechts-Universität zu Kiel, 24098 Kiel, Germany

In strongly coupled plasmas, particle correlations dominate the dynamics, making theoretical descriptions challenging. To provide an alternative to computationally intensive particle-based methods, we present a hydrodynamic model obtained from the least action principle [1, 2]. In this approach, the pair distribution function is included directly into the Lagrangian, allowing correlation effects to be treated consistently while conserving energy and momentum.

We apply this framework to Coulomb [1] and Yukawa [2] one-component plasmas and analyze the linearized hydrodynamic equations by computing longitudinal and transverse modes. The obtained dispersion relations agree closely with molecular dynamics simulations over a wide range of coupling strengths and screening parameters, up to finite wavelengths comparable to the interparticle spacing.

We also outline how this variational framework may be extended to the quantum regime, thereby generalizing earlier formulations of quantum hydrodynamics [3] to strongly coupled systems. The resulting equations are expected to be relevant for inertial confinement fusion.

[1] D. Krimans and S. Putterman, Phys. Fluids 36, 037131 (2024).

[2] D. Krimans and H. Kählert, arXiv:2506.23006v1 (2025).

[3] Zh. A. Moldabekov, M. Bonitz, and T. S. Ramazanov, Phys. Plasmas 25, 031903 (2018).

Keywords: hydrodynamics; strong coupling; dispersion laws; warm dense matter; inertial confinement fusion

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