Abstract
Very simple explicit analytical expressions are discussed, which are able to describe the dispersion relations of longitudinal waves in strongly coupled plasma systems such as one-component plasma and weakly screened Yukawa fluids with a very good accuracy. Applications to other systems with soft pairwise interactions are briefly discussed.
Highlights
Collective dynamics in strongly coupled plasmas is an important research topic with interdisciplinary relations
In this paper we demonstrate that the quasilocalized charge approximation (QLCA) model can be reduced to a set of two simple coupled explicit expressions, which allow to describe very accurately the longitudinal dispersion relations in a wide parameter regime
A somewhat more ac√curate analysis, which takes into account specifics of the one-component plasma (OCP), results in a very close value of R = 6/5 1.09545.21 The plasmon dispersion relations calculated with the help of Eq (7) are plotted in Fig. 1 for the two strongly coupled state points
Summary
Collective dynamics in strongly coupled plasmas is an important research topic with interdisciplinary relations (e.g. to collective motion in other condensed matter systems) It is relevant for complex (dusty) plasmas – systems of charged macroscopic particles immersed in a plasma environment. There is a number of different theoretical approaches to describe waves in strongly coupled systems that have been discussed in the context of complex plasmas These include, for example, the approaches of generalized hydrodynamics,[4,5,6] multicomponent kinetic approach,[7] and the quasilocalized charge approximation (QLCA).[8,9,10] Comparison with direct numerical simulations documented good performance of the QLCA model, at least for weakly and moderately screened systems (one-component plasma and Yukawa fluids with interparticle separation equal to several screening lengths or shorter).[10,11,12,13] In this paper we demonstrate that the QLCA model can be reduced to a set of two simple coupled explicit expressions, which allow to describe very accurately the longitudinal dispersion relations in a wide parameter regime
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