Shear Viscosity of Liquid‐Phase Yukawa Plasmas from Molecular Dynamics Simulations on Graphics Processing Units

Abstract

We have carried out million‐particle equilibrium molecular dynamics simulations of 3‐dimensional Yukawa liquids in order to determine the shear viscosity coefficient. The computations have been executed on Graphics Processing Unit (GPU) architectures with our largely parallelized code. The results cover the strongly coupled liquid phase, with Γ up to the vicinity of the freezing transition, for the 1 ≤ κ ≤ 3 domain of the screening parameter of the Yukawa potential. The good agreement of the present results with those obtained from earlier simulations of significantly smaller systems (consisting of several hundred to several thousand particles) verifies that the viscosity data derived in these smaller scale simulations are also acceptable (© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Dust-acoustic shocks in strongly coupled dusty plasmas

“…In this paper, we take a dynamical form of the electrostatic temperature, and by using this we obtain the value ofà as defined in Eq. (24). This is the same coefficient that was found in Ref.…”

“…[24]), its value may in principle be perturbed by the passing shock. Therefore, one might consider η η 0 + η 1 + 2 η 2 + · · · .…”

“…This transport coefficient (η l ) is connected to the shear η s and bulk, η b viscosities via the relation η l = (4η s /3) + η b . Obtaining these quantities is not a straightforward task and, in general, they must be found empirically by either experimental measurement or molecular dynamic (MD) simulations [24], in conjunction with, for example, the Green-Kubo relations [25]. Such simulations are generally based on the Debye-Hückel model and are applicable in a broad range of physical systems.…”

Viscosity of confined two-dimensional Yukawa liquids: A nonequilibrium method

“…9 Since it can describe a variety of different situations, the Yukawa potential is not only widely used to study the properties of two-dimensional dust ensembles but also highly relevant for colloidal systems. 10 The transport properties of two-and three-dimensional Yukawa liquids 11,12 such as diffusion, 6,13 heat conductivity, 14,15 or viscosity [16][17][18][19][20][21][22][23][24][25] are accessible via molecular dynamics (MD) simulations and often allow for a direct comparison with experiments. The Green-Kubo relations can be exploited to calculate the viscosity g with equilibrium MD simulations.…”