Self-Diffusion in 2D Dusty Plasma Liquids: Numerical Simulation Results

Abstract

We perform Brownian dynamics simulations for studying the self-diffusion in two-dimensional (2D) dusty plasma liquids, in terms of both mean-square displacement and velocity autocorrelation function (VAF). Super-diffusion of charged dust particles has been observed to be most significant at infinitely small damping rate $\gamma$ for intermediate coupling strength, where the long-time asymptotic behavior of VAF is found to be the product of $t^{-1}$ and $\exp (-\gamma t)$. The former represents the prediction of early theories in 2D simple liquids and the latter the VAF of a free Brownian particle. This leads to a smooth transition from super-diffusion to normal diffusion, and then to sub-diffusion with an increase of the damping rate. These results well explain the seemingly contradictory scattered in recent classical molecular dynamics simulations and experiments of dusty plasmas.

10 pages 5 figures, accepted by PRL

References in corpus (5)

• Shear Flows and Shear Viscosity in a Two-Dimensional Yukawa System (Dusty Plasma)
• Shear viscosity of two-dimensional Yukawa systems in liquid state
• Test of the Stokes-Einstein relation in a two-dimensional Yukawa liquid
• Time correlation functions and transport coefficients of two-dimensional Yukawa liquids
• Superdiffusion in quasi-two-dimensional Yukawa liquids

Cited by in corpus (17)

• Is diffusion anomalous in two-dimensional Yukawa liquids?
• Viscoelasticity of 2D liquids quantified in a dusty plasma experiment
• Superdiffusion of 2D Yukawa liquids due to a perpendicular magnetic field
• Experimental measurement of non-Markovian dynamics and self-diffusion in a strongly coupled plasma
• Self-diffusion in two-dimensional quasi-magnetized rotating dusty plasmas
• Identifying anomalous diffusion and melting in dusty plasmas
• Wave spectra of 2D dusty plasma solids and liquids
• Brownian Dynamics of charged particles in a constant magnetic field
• Wave spectra of 2D Yukawa solids and liquids in the presence of a magnetic field
• Effect of magnetic field on the velocity autocorrelation and the caging of particles in two-dimensional Yukawa liquids
• Viscosity calculated in simulations of strongly-coupled dusty plasmas with gas friction
• Fickian yet non-Gaussian diffusion in two-dimensional Yukawa liquids
• Fractional Laplacian Spectral Approach to Turbulence in a Dusty Plasma Monolayer
• Controlling strongly correlated dust clusters with lasers
• Fast Algorithm for Quasi-2D Coulomb Systems
• Comment on: "Self-Diffusion in 2D Dusty-Plasma Liquids: Numerical-Simulation Results" [arXiv:0812.0338]
• A series representation of the discrete fractional Laplace operator of arbitrary order