Predicting the Uniform Electron Gas Stopping Power at Moderate and Strong Coupling


Syzganbayeva S.A. Filinov A.V. Ara J. Ashikbayeva A.B. Askaruly A. Yerimbetova L.T. Barriga-Carrasco M.D. Arkhipov Y.V. Tkachenko I.M.
October 2025John Wiley and Sons Inc

Contributions to Plasma Physics
2025#65Issue 8-9

This paper presents a detailed study of the stopping power of a homogeneous electron gas in moderate and strong coupling regimes using the self-consistent version of the method of moments as the key theoretical approach capable of expressing the dynamic characteristics of the system in terms of the static ones, which are the moments. We develop a robust framework that relies on nine sum rules and other exact relationships to analyze electron–electron interactions and their impact on energy loss processes. We derive an expression for the stopping power that takes into account both quantum statistical effects and electron correlation phenomena. Our results demonstrate significant deviations from classical stopping power predictions, especially under the strong coupling conditions, where electron dynamics are highly dependent on the collective behavior. This work not only advances the theoretical understanding of the homogeneous electron gas but also has implications for practical applications in fields such as plasma physics and materials science.

collective behavior , electron gas , electronic interactions , method of moments

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Department of Physics and Technology, IETP, Al-Farabi Kazakh National University, Almaty, Kazakhstan
Christian-Albrechts-Universitat Zu Kiel, Kiel, Germany
Instituto de Tecnología Química, Universitat Politècnica de València-Consejo Superior de Investigaciones Científicas, Valencia, Spain
Instituto de Investigaciones Energéticas y Aplicaciones Industriales Universidad de Castilla-La Mancha, Ciudad Real, Spain
Departamento de Matemàtica Aplicada, Universitat Politècnica de València, Valencia, Spain

Department of Physics and Technology
Christian-Albrechts-Universitat Zu Kiel
Instituto de Tecnología Química
Instituto de Investigaciones Energéticas y Aplicaciones Industriales Universidad de Castilla-La Mancha
Departamento de Matemàtica Aplicada

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