On the problem of a consistent description of kinetic and hydrodynamic processes in dense gases and liquids: Collective excitations spectrum
B. B. Markiv, I. P. Omelyan, M. V. Tokarchuk

TL;DR
This paper investigates the spectrum of collective excitations in dense gases and liquids by applying generalized non-Markovian equations, considering both hard-sphere and long-range interactions.
Contribution
It introduces a novel approach combining non-Markovian dynamics with a mixed potential model to describe collective excitations in dense fluids.
Findings
Derived a spectrum of collective excitations for dense gases and liquids.
Showed the impact of long-range interactions on excitation spectra.
Extended previous models to include non-Markovian effects.
Abstract
Based on the generalized non-Markovian equations obtained earlier for a nonequilibrium one-particle distribution function and potential part of the averaged enthalpy density [Markiv B.B., Omelyan I.P, Tokarchuk M.V., Condens. Matter Phys., 2010, 13, 23005] a spectrum of collective excitations is investigated, where the potential of interaction between particles is presented as a sum of the potential of hard spheres and a certain long-range potential.
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