Shear viscosity of electrorheological complex plasmas

In this paper, we investigate the behavior of shear viscosity for three-dimensional electrorheological complex plasmas (CPs) liquids by using the computational method (molecular dynamics simulations) under an external AC electric field (M_T). The Green-Kubo formula is used to calculate the shear stress autocorrelation function (A_η(t)) and their integrals (coefficients, η) under the influence of M_T, across numerous values of CPs parameters. By comparing the presented simulation results obtained under the absence of M_T (=0.0) and at equilibrium strength (M_T = 0.007), we analyze and discuss their implications in relation to existing theoretical, simulation, and experimental findings. Our observations demonstrate that the M_T significantly influences the shear viscosity (dynamics) of CPs. Simulation results demonstrated that decay, magnitude, and time of A_η(t) gradually decreased with increasing the M_T, and coefficients η increased in the order of magnitude as expected. These results identified three distinct regimes: a slight decrease in η at low M_T intensities, high increase at intermediate, and a relatively constant behavior at higher M_T intensities. We demonstrate that employing the Green-Kubo relation for effective interparticle potential in CPs yields safe, reliable, and accurate estimations of M_T effects on shear viscosity. Our findings of η demonstrate the electrorheological characteristics of CPs, offering insights into phase transitions using electric fields.