Impact of dynamical inter-species collision frequencies and effective ion-ion potentials

Investigate the impact of incorporating frequency-dependent inter-species relaxation times τ_{ij}(ω) and effective ion-ion interaction potentials v_{ij}(k) into the multicomponent BGK-based completed Mermin susceptibility on the resulting dielectric function and dynamic structure factor predictions for multi-species plasmas.

Background

The paper derives a number- and momentum-conserving multicomponent susceptibility—termed the completed Mermin susceptibility—starting from a multicomponent BGK kinetic equation. The authors demonstrate that this susceptibility satisfies key sum rules and apply it to analyze dynamic structure factors and conductivities in relevant plasma conditions.

While establishing the formalism and initial applications, the authors explicitly acknowledge that their investigation does not yet address the effect of using frequency-dependent inter-species collision frequencies and detailed effective ion-ion interaction potentials within this framework. They indicate that understanding how these dynamical and interaction-specific inputs modify the model’s predictions is deferred to future work.