Dispersion and damping of two-dimensional dust acoustic waves: Theory and Simulation

TL;DR

This paper develops a generalized hydrodynamics model to analyze dispersion and damping of dust acoustic waves in strongly coupled dusty plasmas, validated through comparison with existing theories and simulations.

Contribution

It introduces a comprehensive GH model with memory functions to accurately describe both dispersion and damping of DAWs across various coupling strengths.

Findings

GH model accurately predicts dispersion relations

GH model effectively captures damping rates

Model aligns well with simulations and previous theories

Abstract

A two-dimensional generalized hydrodynamics (GH) model is developed to study the full spectrum of both longitudinal and transverse dust acoustic waves (DAW) in strongly coupled complex (dusty) plasmas, with memory-function-formalism being implemented to enforce high-frequency sum rules. Results are compared with earlier theories (such as quasi-localized charge approximation and its extended version) and with a self-consistent Brownian dynamics simulation. It is found that the GH approach provides good account, not only for dispersion relations, but also for damping rates of the DAW modes in a wide range of coupling strengths, an issue hitherto not fully addressed for dusty plasmas.