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    Collisional stopping power of ions in warm dense matter

    Lucas J. Babati1, Shane Rightley2, Nathaniel R. Shaffer3, and Scott D. Baalrud1,*

    • 1Nuclear Engineering and Radiological Sciences, University of Michigan, Ann Arbor, Michigan 48109, USA
    • 2Sandia National Laboratory, Albuquerque, New Mexico 87123, USA
    • 3Laboratory for Laser Energetics, University of Rochester, Rochester, New York 14623, USA

    • *Contact author: baalrud@umich.edu

    Phys. Rev. E 113, 015201 – Published 2 January, 2026

    DOI: https://doi.org/10.1103/bf9c-5kzq

    Abstract

    A model for the collisional stopping of ions on free electrons in warm dense matter is developed and explored. It is based on plasma kinetic theory, but with modifications to address the warm dense matter regime. Specifically, it uses the Boltzmann-Uehling-Uhlenbeck kinetic equation to incorporate effects of Fermi degeneracy of electrons. The cross section is computed from quantum scattering of electrons and ions occuring via the potential of mean force derived from an average atom model, which incorporates effects of strong Coulomb correlations. Predictions from this model show comparable accuracy to results from time-dependent density functional theory calculations for deuterium near solid density and a temperature of several electronvolts, at a fraction of the computational cost. Further, the model captures the transition of a plasma from the classical limit to the degenerate limit, including qualitative behaviors of solid state theory.

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