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In moderately coupled Yukawa fluids, longitudinal mode dispersion isdetermined by the competition between kinetic and potential effects. In arecent paper [Khrapak and Cou\"edel, Phys. Rev. E 102, 033207 (2020)], asemi-phenomenological dispersion relation was constructed by the ad-hocaddition of the Bohm-Gross kinetic term to the generalized instantaneous excessbulk modulus, which showed very good agreement with simulations. In this paper,a nearly identical dispersion relation is derived in a rigorous manner based ona dielectric formulation with static local field corrections. At moderatecoupling, this formalism is revealed to be more accurate than other successfultheoretical approaches.

Description of longitudinal modes in moderately coupled Yukawa systems with the static local field correction